Topology Seminars in Edinburgh
Upcoming Topology Seminar events
Recent Topology Seminar events

ICMS Workshop on braids in algebra, geometry and topology (2226 May)
24th June 2017, 10:24pm to 10:24pm International Centre for Mathematical Sciences (ICMS), 15 S College St, Edinburgh EH8 9AA, UK  Show/hide abstract 
Scottish Topology Seminar #14
30th September 2016, 10:00am to 5:30pm ICMS, University of Edinburgh, 15 S College St, Edinburgh EH8, UK  Show/hide abstract 
HODGE DAY (organized by Vanya Cheltsov)
17th June 2016, 9:00am to 6:00pm Room 5327, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (Nigel Hitchin, Oxford)
16th June 2016, 4:00pm to 5:00pm Room 5327, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (Matthias Nagel, CIRGET/UQAM)
26th May 2016, 4:00pm to 5:00pm Room 6311, JCMB TBC  Show/hide abstract 
TOPOLOGY SEMINAR (MARK POWELL, UQAM)
17th May 2016, 4:00pm to 5:00pm Room 4312, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (Bismut, Orsay)  Joint with EMPG
4th May 2016, 4:00pm to 5:00pm ICMS, 15 South College Street, NOTE CHANGE OF VENUE AND TIME  Show/hide abstract 
TOPOLOGY SEMINAR (MARTIN FRANKLAND, OSNABRUCK)
25th March 2016, 4:10pm to 5:10pm JCMB 4312  Show/hide abstract 
TOPOLOGY SEMINAR (S.J.PATTERSON, GOETTINGEN) Riemann and his Hypothesis  a pot of gold at the end of the rainbow?
23rd March 2016, 4:10pm to 5:10pm Lecture Room C, JCMB  Show/hide abstract 
SCOTTISH TOPOLOGY SEMINAR (O.RandalWilliams, C.Rovi, M.Weiss)
11th March 2016, 2:00pm to 6:00pm ICMS, South College Street  Show/hide abstract 
GEOMETRY CLUB: Floer Theory, to Ainfinity and beyond (Tim Large, Cambridge)
11th December 2015, 2:30pm to 3:30pm ROOM 4312, JCMB  Show/hide abstract 
GEOMETRY/TOPOLOGY SEMINAR: Oscar Garcia Prada
12th November 2015, 1:10pm to 2:10pm Room 6311, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR: Thomas Huetteman (Belfast)
30th October 2015, 4:10pm to 5:10pm Room 6311, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (Paul Kirk)
9th October 2015, 4:10pm to 5:10pm ROOM 6206, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR : 3 TOPOLOGYRELATED SUMMER PROJECTS
2nd October 2015, 4:10pm to 5:31pm JCMB ROOM 5215  Show/hide abstract 
Structure and Symmetry Symposium + Topology Seminar: C.MANOLESCU, TRIANGULATION CONJECTURE
18th May 2015, 4:00pm to 5:00pm Room 6206, James Clerk Maxwell Building, Edinburgh, United Kingdom  Show/hide abstract 
TOPOLOGY SEMINARS: HYDRODYNAMICS AND TOPOLOGY, IN HONOUR OF H.K.MOFFATT'S 80th BIRTHDAY
14th May 2015, 2:00pm to 6:00pm International Centre for Mathematical Sciences (ICMS), 15 South College Street, Edinburgh, Midlothian EH8 9AA, United Kingdom  Show/hide abstract 
TOPOLOGY SEMINAR (SZPIRO) The Truth, the Whole Truth, And Nothing but the Truth
9th April 2015, 4:00pm to 5:00pm Room 6206, JCMB  Show/hide abstract 
Scottish Topology Seminar
19th March 2015, 1:00pm to 6:00pm International Centre for Mathematical Sciences (ICMS), 15 South College Street, Edinburgh, Midlothian EH8 9AA, United Kingdom  Show/hide abstract 
TOPOLOGY SEMINAR, MICHELLE BUCHERKARLSSON (GENEVA)
18th February 2015, 4:00pm to 5:00pm Rooom 4325B, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (Riemann and Topology in Goettingen, S.J.Patterson)
22nd September 2014, 4:10pm to 5:10pm Room 6206, JCMB (tbc)  Show/hide abstract 
DOUBLE TOPOLOGY SEMINAR "Topology and Art"
4th August 2014, 3:00pm to 5:00pm LECTURE ROOM C, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (CARL McTAGUE)
9th June 2014, 4:15pm to 5:15pm Room 6301, JCMB "New applications of differential geometry to big data"  Show/hide abstract 
TOPOLOGY SEMINAR (David Epstein)
12th May 2014, 4:10pm to 5:10pm Room 6311, James Clerk Maxwell Building, Edinburgh, United Kingdom  Show/hide abstract 
TOPOLOGY SEMINAR (LUECK)
29th April 2014, 2:30pm to 5:10pm Room 6301, JCMB  Show/hide abstract 
JOINT GEOMETRY/TOPOLOGY SEMINAR (ETIENNE GHYS)
21st March 2014, 3:00pm to 4:00pm David Hume Tower,Edinburgh, Faculty Room North 
TOPOLOGY: A CHAOTIC AFTERNOON WITH ETIENNE GHYS
20th March 2014, 1:00pm to 5:30pm International Centre for Mathematical Sciences (ICMS), South College Street, Edinburgh, United Kingdom  Show/hide abstract 
TOPOLOGY SEMINAR (3 INFORMAL TALKS ON KNOT THEORY)
18th February 2014, 2:00pm to 5:00pm International Centre for Mathematical Sciences (ICMS), 15 South College Street, Edinburgh, United Kingdom  Show/hide abstract 
TOPOLOGY SEMINAR. Topology of Neural Systems (Ran Levi, Aberdeen)
24th January 2014, 3:00pm to 4:00pm Faculty Room North, David Hume Tower  Show/hide abstract 
TOPOLOGY SEMINAR (ATIYAH, GRABOWSKI)
17th January 2014, 3:00pm to 5:30pm Room 6206, JCMB  Show/hide abstract 
SCOTTISH TOPOLOGY SEMINAR IN EDINBURGH (GRAY, BARROWGREEN, COLLINS)
19th December 2013, 1:00pm to 6:00pm EDINBURGH, ICMS, 14 South College Street  Show/hide abstract 
TOPOLOGY SEMINAR (A.Reid, Texas)
28th November 2013, 4:10pm to 5:10pm Alan Reid (U. Texas, Austin) 4.10PM, Room 4312, JCMB  Show/hide abstract 
SCOTTISH TOPOLOGY SEMINAR IN ABERDEEN
24th June 2017, 10:24pm to 10:24pm ABERDEEN 
TOPOLOGY SEMINAR (Diarmuid Crowley, MPIM, Bonn)
18th November 2013, 4:10pm to 5:10pm Room 6301, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (Margaret Beck, HeriotWatt)
14th November 2013, 4:00pm to 5:00pm Room 4312, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (Maxime Bourrigan, Paris)
1st November 2013, 4:00pm to 5:00pm ROOM 6206,JCMB 
SCOTTISH TOPOLOGY SEMINAR (in GLASGOW)
20th September 2013, 12:15pm to 5:10pm 515 Mathematics Building, Glasgow  Show/hide abstract 
TOPOLOGY SEMINAR (BROWDER)
9th September 2013, 10:00am to 11:00am Room 5327, JCMB  Show/hide abstract 
BRITISH TOPOLOGY MEETING, ABERDEEN
24th June 2017, 10:24pm to 10:24pm 
TOPOLOGY SEMINAR (FRIEDL)
31st July 2013, 4:00pm to 5:00pm Room 5327, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (Frank Quinn)
9th May 2013, 4:15pm to 5:15pm Room 6206, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (ROUKEMA)
3rd May 2013, 3:00pm to 4:00pm Room 6206, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (STOLTZFUS) Double Knot Concordance
5th April 2013, 4:00pm to 5:00pm ROOM 4312, JCMB 
TOPOLOGY SEMINAR (KURLIN) Topological data analysis
2nd April 2013, 3:00pm to 4:00pm Room 4.31/4.33 INFORMATICS FORUM 
SCOTTISH TOPOLOGY SEMINAR
21st March 2013, 2:00pm to 5:30pm Newhaven Room, ICMS, 15 South College Street  Show/hide abstract 
POPULAR TOPOLOGY LECTURE (HORNIG)
8th March 2013, 4:00pm to 5:00pm Room 5215, JCMB  Show/hide abstract 
TRANSVERSALITY IN ALGEBRA AND TOPOLOGY III. (ANDREW RANICKI)
20th February 2013, 5:00pm to 6:00pm Lecture Room A, JCMB 
TRANSVERSALITY IN ALGEBRA AND TOPOLOGY II. (ANDREW RANICKI)
13th February 2013, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TRANSVERSALITY IN ALGEBRA AND TOPOLOGY I. (ANDREW RANICKI)
6th February 2013, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (FOURMAN)
1st February 2013, 4:00pm to 5:00pm ROOM 6301, JCMB (NOTE ROOM CHANGE)  Show/hide abstract 
TOPOLOGY : KIRBY COURSE
30th November 2012, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY : KIRBY COURSE
28th November 2012, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (KIRBY)
27th November 2012, 5:30pm to 6:30pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY : KIRBY COURSE
26th November 2012, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY : KIRBY COURSE
23rd November 2012, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY : KIRBY COURSE
21st November 2012, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY : KIRBY COURSE
19th November 2012, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY : KIRBY COURSE
16th November 2012, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY : KIRBY COURSE
14th November 2012, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY : KIRBY COURSE
12th November 2012, 5:00pm to 6:00pm Lecture Room A, JCMB  Show/hide abstract 
TOPOLOGY : KIRBY COURSE
9th November 2012, 5:15pm to 6:15pm Lecture Room A, JCMB  Show/hide abstract 
ROCHLIN INVARIANT TALKS (ATIYAH+KIRBY)
7th November 2012, 3:30pm to 6:00pm Lecture Room C, JCMB 
TOPOLOGY : KIRBY COURSE (RM 5325)
5th November 2012, 5:00pm to 6:00pm Room 5325, JCMB  Show/hide abstract 
Rokhlin Invariant Talks: (Room 6310)
2nd November 2012, 11:00am to 1:00pm 6310 JCMB, King's Buildings 
EMPG/TOPOLOGY SEMINAR (L.Kauffman, UIC)
31st October 2012, 4:00pm to 5:00pm David Hume Tower 7.01  Show/hide abstract 
TOPOLOGY SEMINAR, Julia Collins "A knot's tale"
26th October 2012, 4:10pm to 5:10pm Lecture Room A, JCMB  Show/hide abstract 
Rokhlin Invariant Talks: Chris Palmer (Room 6310)
19th October 2012, 11:00am to 1:00pm 6310 JCMB, King's Buildings 
Rokhlin Invariant Talks: Patrick Orson (Room 4311)
17th October 2012, 3:00pm to 5:00pm 4311 JCMB, King's Buildings 
TOPOLOGY SEMINAR (VEJDEMOJOHANSSON) The topology of US politics
15th October 2012, 4:10pm to 5:10pm Room 6206, JCMB  Show/hide abstract 
Rokhlin Invariant Talks: Patrick Orson (Room 6310)
12th October 2012, 11:00am to 1:00pm 6310 JCMB, King's Buildings 
Rokhlin Invariant Talks: Carmen Rovi (Room 5325)
8th October 2012, 3:30pm to 5:30pm 5325 JCMB, King's Buildings 
TOPOLOGY SEMINAR, Mathias Kreck (Bonn), "Invertible topological quantum field theories"
1st October 2012, 3:00pm to 4:00pm Room 4312, JCMB  Show/hide abstract 
GEOMETRY/TOPOLOGY SEMINAR (M.Hering, A.Bayer)
20th September 2012, 4:00pm to 6:00pm Room 4312, JCMB  Show/hide abstract 
ICMS Meeting on cubical complexes
24th June 2017, 10:24pm to 10:24pm ICMS, 15 South College Street  Show/hide abstract 
TOPOLOGY SEMINAR (NORA SEELIGER)
24th May 2012, 2:00pm to 3:00pm ROOM 4312, JCMB  Show/hide abstract 
POINCARE AND THE EARLY HISTORY OF 3MANIFOLDS (STILLWELL)
23rd May 2012, 4:00pm to 5:00pm Lecture Room A, JCMB 
Whittaker Colloquium
22nd May 2012, 4:00pm to 5:00pm TBC  Show/hide abstract 
TOPOLOGY SEMINAR (ELIZABETH GASPARIM, CAMPINAS)
17th May 2012, 4:00pm to 5:00pm Room 4312, JCMB  Show/hide abstract 
SURGERY GROUP: Surgery Exact Sequence  Andrew Ranicki
17th May 2012, 2:00pm to 3:00pm 4312 JCMB 
TOPOLOGY SEMINAR (MARK POWELL (BLOOMINGTON))
15th May 2012, 2:00pm to 3:00pm Room 4312, JCMB  Show/hide abstract 
SURGERY GROUP: Classifying Exotic Spheres  Patrick Orson
11th May 2012, 10:00am to 12:00pm 4312 JCMB 
SURGERY GROUP: Constructing Exotic Spheres  Andrew Ranicki
4th May 2012, 12:00pm to 2:00pm 4312 JCMB 
QUANTUM seminar
29th March 2012, 10:00am to 11:30am JCMB 4312, Edinburgh  Show/hide abstract 
Carmen
21st March 2012, 10:00am to 12:00pm Room 6206 JCMB, King's Buildings, Edinburgh 
SINGULARITIES, KNOTS AND SURGERY
16th March 2012, 2:00pm to 5:30pm Room 4312, JCMB  Show/hide abstract 
Surgery Group
16th March 2012, 10:00am to 12:00pm Room 4312 JCMB, King's Buildings, Edinburgh 
Surgery Group: Andrew Ranicki: The Poincare Duality Theorem and Its Converse II.
14th March 2012, 10:00am to 12:00pm Room 6206 JCMB, King's Buildings, Edinburgh 
Surgery Group: Andrew Ranicki  The Poincare duality theorem and its converse I
9th March 2012, 10:00am to 12:00pm Room 4312 JCMB, King's Buildings, Edinburgh 
Quantum Seminar  Mumford Conjecture
8th March 2012, 10:00am to 11:30am JCMB 4312, Edinburgh  Show/hide abstract 
Surgery Group
2nd March 2012, 10:00am to 12:00pm Room 4312 JCMB, King's Buildings, Edinburgh 
QUANTUM SEMINAR  Intro to C*algebras
1st March 2012, 10:00am to 11:30am JCMB 4312, Edinburgh  Show/hide abstract 
Surgery Group
29th February 2012, 10:00am to 12:00pm Room 6206 JCMB, King's Buildings, Edinburgh 
QUANTUM SEMINAR  Cobordism hypothesis
23rd February 2012, 10:00am to 11:30am JCMB 4312, Edinburgh  Show/hide abstract 
TOPOLOGY SEMINAR (Friedl)
10th February 2012, 4:10pm to 5:10pm Room 4312, JCMB  Show/hide abstract 
QUANTUM SEMINAR  Lowdimensional QFTs and finite gauge theory
2nd February 2012, 10:00am to 11:30am JCMB 4312, Edinburgh  Show/hide abstract 
QUANTUM SEMINAR  Introduction to TQFT
26th January 2012, 10:00am to 11:30am JCMB 4312, Edinburgh  Show/hide abstract 
TOPOLOGY/EMPG SEMINAR (Blohmann)
25th November 2011, 3:00pm to 4:00pm Room 6311  Show/hide abstract 
TOPOLOGY SEMINAR (Mikael Vejdemo Johansson, St.Andrews)
22nd November 2011, 3:00pm to 4:00pm Room 4312, JCMB  Show/hide abstract 
QUANTUM SEMINAR  QFT as particle physics
3rd November 2011, 2:00pm to 3:30pm Edinburgh, JCMB 6309  Show/hide abstract 
Surgery Group  L11: Dimension 2 Surgery  Carmen Rovi
3rd November 2011, 11:00am to 12:00pm JCMB 4312, King's Buildings 
SMSTC/M.Sc. GeometryTopology Lecture (Baker III)
27th October 2011, 1:00pm to 3:00pm JCMB Room 5323 (videoconference) 
Surgery Group  L10: Normal Invariants (ii)  Fillip Levikov
27th October 2011, 11:00am to 12:00pm 4312 JCMB, King's Buildings 
TOPOLOGY SEMINAR: O. RandalWilliams (Copenhagen)
26th October 2011, 4:00pm to 5:00pm Room 4312, JCMB  Show/hide abstract 
Surgery Group  L10: Normal Invariants (i), Filipp Levikov
26th October 2011, 10:00am to 11:00am JCMB 4312, King's Buildings 
TOPOLOGY SEMINAR (BORODZIK)
21st October 2011, 3:00pm to 4:00pm Room 2.12 Appleton Tower  Show/hide abstract 
QUANTUM SEMINAR  Axiomatic Approaches to QFT
20th October 2011, 2:00pm to 3:30pm Edinburgh, JCMB 6309  Show/hide abstract 
SURGERY GROUP Problem session
12th October 2011, 10:00am to 12:00pm JCMB 4312 
SURGERY GROUP L9, The Spivak Normal Fibration  Patrick Orson
7th October 2011, 11:00am to 12:30pm Room 4312, James Clerk Maxwell Building, University of Edinburgh  Show/hide abstract 
QUANTUM SEMINAR  Will Donovan
6th October 2011, 2:00pm to 3:30pm Edinburgh, JCMB 6309  Show/hide abstract 
SURGERY GROUP L8, Whitehead Torsion and the scobordism Theorem  Spiros AdamsFlorou
3rd October 2011, 11:00am to 12:30pm Room 4312, James Clerk Maxwell Building, University of Edinburgh  Show/hide abstract 
TOPOLOGY SEMINAR (C.Roitzheim, Glasgow)
30th September 2011, 4:10pm to 5:10pm Room 4312, JCMB  Show/hide abstract 
QUANTUM SEMINAR  Will Donovan
29th September 2011, 2:00pm to 3:30pm Edinburgh, JCMB 6309  Show/hide abstract 
SURGERY GROUP L7, The hcobordism Theorem  Chris Palmer
29th September 2011, 11:00am to 12:30pm Room 4312, James Clerk Maxwell Building, University of Edinburgh  Show/hide abstract 
SURGERY GROUP L6, Algebraic/Geometric intersections and the Whitney trick  Filipp Levikov
26th September 2011, 11:00am to 12:30pm Room 4312, James Clerk Maxwell Building, University of Edinburgh  Show/hide abstract 
SURGERY GROUP L5, Cobordism Theory (ii)  Carmen Rovi
22nd September 2011, 11:00am to 12:30pm Room 4312, James Clerk Maxwell Building, University of Edinburgh  Show/hide abstract 
SURGERY GROUP L4, Cobordism theory (i)  Carmen Rovi
19th September 2011, 11:00am to 12:30pm Room 4312, James Clerk Maxwell Building, University of Edinburgh  Show/hide abstract 
SURGERY GROUP L3, Vector Bundles and Surgery  Patrick Orson
15th September 2011, 11:00am to 12:30pm Room 4312, James Clerk Maxwell Building, University of Edinburgh  Show/hide abstract 
SURGERY GROUP L2, Poincare Duality and the Effects on Surgery  Spiros AdamsFlorou
12th September 2011, 11:00am to 12:30pm Room 4312, James Clerk Maxwell Building, University of Edinburgh  Show/hide abstract 
SURGERY GROUP L1, Surgery, Handles and Morse Theory  Spiros AdamsFlorou
8th September 2011, 11:00am to 12:30pm Room 4312, James Clerk Maxwell Building, University of Edinburgh  Show/hide abstract 
SURGERY GROUP L0, Introduction to Surgery Theory  Andrew Ranicki
5th September 2011, 11:00am to 12:30pm Room 4312, James Clerk Maxwell Building, University of Edinburgh  Show/hide abstract 
British Topology Meeting in Edinburgh
24th June 2017, 10:24pm to 10:24pm ICMS, 15 SOUTH COLLEGE STREET  Show/hide abstract 
SPECULATIONS ON THE RIEMANN HYPOTHESIS (C.DENINGER, MUENSTER)
22nd August 2011, 4:00pm to 5:00pm Room 6301, JCMB 
TOPOLOGY SEMINAR (PIERRE ALBIN)
10th May 2011, 4:10pm to 5:10pm Room 4312, JCMB  Show/hide abstract 
ICMS workshop "The Kervaire invariant and stable homotopy theory"
24th June 2017, 10:24pm to 10:24pm  Show/hide abstract 
SCIENCE FESTIVAL LECTURE (GHRIST)
12th April 2011, 7:00pm to 8:00pm ICMS, 15 SOuth College Street  Show/hide abstract 
Robert Ghrist "Euler calculus for data"
12th April 2011, 2:00pm to 3:00pm Room 4.31/4.33 Informatics Forum, Crichton Street  Show/hide abstract 
TOPOLOGY SEMINAR (LUPTON)
29th March 2011, 4:10pm to 5:10pm Room 4312, JCMB  Show/hide abstract 
Whittaker Colloquium (Carlsson)
14th March 2011, 4:10pm to 5:10pm Lecture Room C, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (JOINT WITH GEOMETRY) PANTEV
24th February 2011, 4:10pm to 5:10pm Room 4312, JCMB  Show/hide abstract 
TOPOLOGY SEMINAR (JOINT WITH GEOMETRY) BENBASSAT
17th February 2011, 4:10pm to 5:10pm Room 4312, JCMB  Show/hide abstract 
SPITALFIELDS DAY (Atiyah, Hirzebruch, Ranicki)
24th June 2017, 10:24pm to 10:24pm Royal Society of Edinburgh, 22 George Street, Edinburgh  Show/hide abstract 
BRITISH TOPOLOGY MEETING, OXFORD
24th June 2017, 10:24pm to 10:24pm 
ICMS SYMPLECTIC GEOMETRY MEETING
24th June 2017, 10:24pm to 10:24pm 
4 talks on Knot theory (Kim, Collins, Owens, Powell)
1st July 2010, 2:00pm to 6:00pm Room 5327, JCMB  Show/hide abstract 
Topology seminar
30th June 2010, 4:00pm to 5:00pm Room 4312, JCMB  Show/hide abstract 
2 talks at ICMS meeting "ICMS Hodge theoretic reflections on the string landscape"
14th June 2010, 10:00am to 12:00pm 14 India Street (Old home of ICMS)  Show/hide abstract 
ICMS Hodge theoretic reflections on the string landscape
24th June 2017, 10:24pm to 10:24pm 14 india Street (the old ICMS location)  Show/hide abstract 
Topology seminars (Hepworth, Borodzik)
28th May 2010, 3:10pm to 5:40pm Room 6311, JCMB  Show/hide abstract 
Topology seminar (J.Davis) Are almost flat manifolds boundaries?
20th May 2010, 4:00pm to 5:00pm Room 6311, JCMB  Show/hide abstract 
ASTRONOMY, STATISTICS AND GEOMETRY (Forgan,Heavens, Kitching)
14th May 2010, 3:00pm to 4:30pm Lecture Room C, JCMB  Show/hide abstract 
Topology Seminar (Carbery)
7th May 2010, 4:30pm to 5:30pm Room 4312, JCMB  Show/hide abstract 
Topology seminar: Laurent Bartholdi (Goettingen)
26th March 2010, 3:00pm to 4:00pm Room 4312, JCMB  Show/hide abstract 
EGA Seminar: Alexey Bondal (Aberdeen)
17th March 2010, 4:45pm to 5:45pm JCMB 4312  Show/hide abstract 
EGA Seminar: Alex Quintero Velez (Glasgow)
17th March 2010, 3:15pm to 4:15pm JCMB 4312  Show/hide abstract 
EGA Seminar: Richard Szabo (HeriotWatt)
17th March 2010, 2:00pm to 3:00pm JCMB 4312  Show/hide abstract 
Topology Seminar: David Mond (Warwick)
12th March 2010, 5:00pm to 6:00pm JCMB 4312  Show/hide abstract 
Topology Seminar: Alessandro Valentino (Goettingen)
26th February 2010, 4:00pm to 5:00pm Room 4312, JCMB  Show/hide abstract 
Topology Seminar: Jarek Kedra (Aberdeen)
19th February 2010, 3:00pm to 4:00pm Room 7.01 David Hume Tower  Show/hide abstract 
Topology Seminar: Iain Aitchison (Melbourne)
8th February 2010, 4:00pm to 5:00pm JCMB 4312  Show/hide abstract 
GEOMETRY SEMINAR (THOMAS)
14th January 2010, 4:00pm to 5:00pm
Friday, 9th October Paul Kirk (Bloomington/MPIM Bonn) Studying knots in 3manifolds via spaces of SU(2) representations of their fundamental group 4.10PM, Room 6311, JCMB
Abstract: The most powerful invariant of a 3 manifold (such as the complement of a knotted circle in the 3sphere) is its fundamental group. One approach to probing this group is to study the spaces of homomorphisms from the fundamental group into a Lie group such as SU(2). The topological properties of these representation spaces reflect geometric properties of the 3manifold. I will illustrate, mostly via examples, what some of these representation spaces look like, and discuss some approaches to extract invariants of 3 manifolds and knots by studying the properties of their representation spaces.
Spring/Summer 2015
Wednesday, 18th February Michelle BucherKarlsson (Geneva) Characteristic numbers and volumes of hyperbolic representations 4PM, Room 4325B, JCMB
Thursday, 19 March Scottish Topology Seminar at ICMS. Speakers: Saul Schleimer (Warwick), Maciej Borodzik (Warsaw), J. Rasmussen (Cambridge).
Thursday, 9th April George Szpiro (New York/Jerusalem) Math for the Masses: The Truth, the Whole Truth, Nothing but the Truth 4PM, Room 6206 (tbc), JCMB. Abstract: In this seminar I will discuss the difficulties a journalist faces who writes about mathematics for the general reader. Mathematics is a very technical subject and, unlike other sciences, like physics, medicine or biology, cannot be easily explained to nonspecialists. Nevertheless, the writer must try to communicate at least an idea of what our subject is about, strictly avoiding to ‘dumb down,’ and all the while trying to keep the reader interested.
Thursday, 14 May Scottish Topology Seminar at ICMS. Hydrodynamics and Topology: Meeting in honour of Keith Moffatt's 80th birthday 26PM at ICMS, 15 South College Street.
2.002.50 Gunnar Hornig (Dundee) Magnetic Helicity: applications and generalisationsMagnetic helicity is an integral that measures the averaged pairwise linkage of field lines in a magnetic field. In a seminal paper Keith Moffatt JFM,1969 introduced and interpreted this quantity. It turned out that the magnetic helicity integral is preserved to a high accuracy in many astrophysical and technical plasmas and hence it has been widely used to help to understand the evolution of magnetic fields in plasmas. One of the most successful applications of magnetic helicity is the prediction of the final state of the magnetic field after a turbulent relaxation in a Reversed Field Pinch by J.B. Taylor. We will review the concepts behind these results and then discuss recent attempts to refine this theory using the notion of a field line helicity or generalised flux function. This concept can reveal additional information about the topology of a magnetic field which the total magnetic helicity does not capture. It thus helps to predict the evolution of more general classes of magnetic fields.
Moffatt, H. K. (1969). The degree of knottedness of tangled vortex lines. Journal of Fluid Mechanics, 35(01), 117–129.
Taylor, J. (2000). Relaxation revisited. Physics of Plasmas, 7(5), 1623–1629.
Yeates, A. R., & Hornig, G. (2013). Unique topological characterization of braided magnetic fields. Physics of Plasmas, 20(1), 012102. doi:10.1063/1.4773903
2.553.45 Etienne Ghys (ENSLyon) Is helicity a topological invariant?
3.454.15 Tea
4.155.05 Michael Proctor (DAMTP, Cambridge) Meanfield Electrodynamics in the nonlinear regime?Keith Moffatt has made seminal contributions to the theory of meanfield electrodynamics  the theory of magnetic field generation on scales large compared to those of the velocity fields that drive the dynamo. But there is another kind of dynamo, usually called a smallscale dynamo, which has magnetic field and velocity scales that are comparable. It is thus possible to have a state of essentially homogeneous MHD turbulence where the small scale magnetic field is dynamically active. What does it then mean to look for large scale magnetic instabilities? In this case the induction and momentum equations are on an equal footing, and the linear perturbation problem has to involve both the equations. The question then arises: can a coherent meanfield theory be constructed for the analysis of such longwavelength modes? For relatively simple states the answer is in the affirmative, producing extended mean field equations with new coupling terms, providing a unification of the AKA instability of Frisch and the usual meanfield electrodynamics. However the validity of the ansatz seems to depend on properties of the basic state, and I will try to show by means of simple examples how things can go wrong. At present the question of whether the new mean field system is useful is open, pending more detailed numerical investigation.
5.106.00 Keith Moffatt (DAMTP, Cambridge) introduced by Michael Atiyah, Topological jumps in deforming soap films and in vortex dynamicsSuppose that a flexible circular wire is twisted and folded back on itself to form (nearly) the double cover of a circle, then dipped in soap solution in such a way as to create a soap film in the form of a Möbius strip. Suppose now that the wire is slowly untwisted and unfolded back towards its original circular form. At a certain critical stage in this process, the film jumps from the onesided Möbius strip to a twosided surface spanning the wire. We have analysed both experimentally and theoretically how this topological jump occurs. This involves consideration of the role of the finite crosssection of the wire, no matter how small this may be. The surface before the jump may be idealised as the (minimum area) incomplete 'Meeks surface', which becomes unstable at a critical value of its defining parameter.
This topological jump is, in certain respects, analogous to the jump that occurs when a circular vortex (or magnetic flux) tube is twisted to the form of a figureofeight and forced to reconnect to form two separate tubes through viscous diffusion. This process will also be described, and it will be shown that helicity, a topological invariant of the ideal Euler equations, is no longer invariant during such a reconnection process.
References (downloadable from <www.moffatt.tc/publications>):
Goldstein, R. E., McTavish, J., Moffatt, H. K. & Pesci, A. I. 2014 Boundary singularities produced by the motion of soap films. Proc. Natl. Acad. Sci. 111 (23), 83398344.
Kimura, Y. & Moffatt, H.K. 2014 Reconnection of skewed vortices. J. Fluid Mech. 751, 329345.
Moffatt, H. K. 2014 Helicity and singular structures in fluid dynamics. Proc. Nat. Acad. Sci. 111 (10), 36633670.
Friday, 15 May School Colloquium by Etienne Ghys
Monday, 18 May Triangulation Conjecture, Ciprian Manolescu (UCLA), Lecture Room 6206, JCMB, 4.005.00PM. Visit supported by LMS Scheme 2. This is one of the three talks in the "Structure and Symmetry Symposium". The other two are
13:3014:30 Arkady Vaintrob (Oregon, visiting Edinburgh) Noncommutative spaces, singularities and mirror symmetry
14:3015:30 Ivan Smith (Cambridge) Symplectic Khovanov cohomology
Monday, 20 July — Friday, 24 July "Topological methods in Singularity Theory" ICMS Conference
Autumn 2014
Monday, 22nd September "Riemann and topology in Goettingen", Paddy Patterson (Goettingen), Lecture Room 6206, JCMB, 4.105.10PM VIDEO
Spring/Summer 2014
There was a special double topology seminar on Monday, 4th August, 15.0017.00, in Lecture Room C, James Clerk Maxwell Building, featuring two speakers who are topologists actively involved both in the theory and practice of the artistic representations of spaces. The talks were introduced by Michael Atiyah. The poster was made by Julia Collins
TopologyArtPoster.pdf The videos were made by Carmen Rovi.
https://www.math.okstate.edu/~segerman/
Humans evolved in a threedimensional environment. As a result we are very good at visualising threedimensional objects. But what about fourdimensional objects? The best we can do is look at their threedimensional "shadows".
Just as the shadow of a threedimensional object squishes it into a twodimensional plane, we can squish a fourdimensional shape into threedimensional space. If the fourdimensional object is not too complicated, and if we choose a good way to squish it, then we can get a very good sense of what it is like. We will explore the sphere in fourdimensional space, the fourdimensional polytopes (which are the fourdimensional versions of the threedimensional polyhedra  the shapes of dice), and various sculptures and puzzles that have come from thinking about these things.
VIDEO
http://www.segerman.org/
https://www.math.okstate.edu/~segerman/#art_exhibitions
https://www.shapeways.com/shops/henryseg
https://www.youtube.com/user/henryseg
http://www.thingiverse.com/henryseg/designs
"Surfaces" are interfaces; boundaries between this and that. The peel of an orange, the crust of a bagel, the skin of a person, the bark of a tree: all are examples of surfaces. These are studied mathematically using the tools of geometry and topology. Important examples arise in geometry in the guise of "minimal surfaces": the soap films pondered by child and professor alike. In topology Seifert surfaces serve as an interface between knots, onedimensional loops, and knot complements, threemanifolds of startling beauty.
I will describe these objects via many twodimensional pictures and threedimensional prints. Most are constructed in the threesphere and then stereographically projected into our threedimensional space.
Monday, 9th June Carl McTague (Johns Hopkins), Room 6301, JCMB, 4.155.15PM New applications of differential geometry to big dataEuler calculus is an emerging method for extracting information from highdimensional discrete data. The idea is to integrate data using the Euler characteristic as measure. Baryshnikov & Ghrist pioneered this method and explored ways to extend it to continuous data. I will extend the method to continuous data in a new way which, unlike previous methods, is additive and satisfies a Fubini theorem. More than this, I will use geometry to extend the theory to a functor. Functoriality enables tomographictype information extraction from projections.
Tuesday, 27th May (M.Boileau, T.Riley, A.Stipsicz) 1.155.00PM Scottish Topology Seminar Glasgow
Monday, 12th May David Epstein (Warwick), Room 6311, JCMB, 4.105.10PM Video Machine Learning and TopologyIn scientific experiments, one does a number of different measurements on a number of objects. Suppose we make k measurements on N objects. Then we get a cloud of N ponts in a kdimensional euclidean space. How can we get an understanding of the shape of the cloud? I will look at the special situation where the cloud clusters around a smooth low dimensional submanifold of the kdimensional euclidean space. The idea is to try to reconstruct the submanifold, given the data points. This is a very active research area, with a very large number of good papers, and also many poor papers. I will explain some aspects of the problem that I have thought about, and introduce some associated problems.
I will not be proving any theorems, just talking about how one might approach the situation where one is trying to understand a set of data as described above. Most of my considerations will be at the undergraduate level in one of Mathematics, Statistics or Computer Science.
Tuesday, 29th April Wolfgang Lueck (HIM, Bonn) Room 6301, JCMB. 2.303.30PM Introduction to L2invariantsWe give an introduction to L2invariant such as the L2Betti numbers and the L2torsion which are the L2analogues of the classical Betti numbers and Reidemeister torsion. Originally these were defined for Riemannian manifolds but they can be extended to more general spaces. This leads to surprising applications to problems in geometry, topology, group theory and Ktheory.
Video
4.105.10PM On the possible values of L2invariantsWe discuss questions due to Atiyah and Lehmer asking what the possible values of L2invariants are. In general there are only a few constraints for the L2Betti numbers, but if the group under consideration is torsionfree, no example of an L2Betti number is known which is not an integer. Finally we discuss an extension of Lehmer's problem about the Mahler measure of polynomials to arbitrary groups.
Video
The topological nature of singularities of planar complex analytic curves has been understood for many years. Indeed, NewtonPuiseux series allow a complete understanding of the link of the singularity. Amazingly, the analogous question in the real domain leads to interesting combinatorial developments.
I will start my discussion with a clever remark of M. Kontsevich.
Thursday, 20th March A chaotic afternoon at ICMS Scottish Topology Seminar with Etienne Ghys
Tuesday, 18th February Three informal talks on knot theory. 2.005.00PM Cramond Room, ICMS, 15 South College Street
Gunnar Hornig (Dundee), 2.002.45PM, On the problem of third order invariants for magnetic fieldsWe explore the reasons why the programme, first envisaged by V.I. Arnold, to generalise link invariants from knottheory to integral invariants of magnetic fields, has so far not led to any practically useable invariant beyond the magnetic helicity. We do this by first looking into the properties of magnetic helicity (a second order integral invariant) and its relation to the Gauss' linking number, before analysing what prevents us from generalising the third order Massey linking number to a corresponding integral for magnetic fields.
Brendan Owens (Glasgow), 3.003.45PM, Searching for slice disksA knot in the threesphere is slice if it bounds a smoothly embedded disk in the fourdimensional ball. It is alternating if it admits an alternating projection. Mysteriously, many geometric properties can be immediately determined from an alternating diagram. Is it possible to quickly tell from an alternating diagram if a knot is slice or not? In joint work with Frank Swenton we have implemented an algorithm which has found slice disks for approximately 29,000 alternating knots. I will describe this algorithm and also some examples which the algorithm just misses.
Andrew Ranicki (Edinburgh), 4.155.00PM, Surgery theory and braidsBraids are wellknown representations of knots. nstrand braids are classified by the automorphisms of the npunctured 2disk which are the identity on the outside boundary circle and a permutation of the n inside boundary circles. Concatenation of braids corresponds to the composition of the automorphisms. In my talk I shall describe an algebraic surgery version of such automorphisms, which can be used to recover the GhysGambaudoBourrigan signature invariants of braids.
Friday, 24th January
Ran Levi (Aberdeen), 3.004.00PM, Faculty Room North, David Hume Tower Topology of neural systemsThis talk is a report onC an ongoing project that aims to contribute to the understanding of certain aspects of brain activity. The project is carried out jointly with Kathryn Hess, and Sophie Raynor, in collaboration with the Blue Brain Project in EPFL, and as a part of the Human Brain Project.
The brain, or possibly any part of it, can be viewed as a graph in several ways, the simplest of which is by regarding the neurons as vertices with an edge between two vertices if they are connected to each other by a synapse. One naturally regards this graph as oriented, as the connections in a neural system are directional, but for some purposes ignoring orientation is also interesting. Experimental data will impose restrictions on the nature of such a graph, for instance on the number and strength of connections between any given vertex and other vertices. Once a graphical description is the basic concept one deals with, a variety of mathematical structures that may be biologically relevant emerge. In this talk I will discuss a number of ideas that we have been investigating, ranging from the application of basic techniques of algebraic topology to the study of state of the art simulated neural systems, to a category theoretic model of neural systems which encodes not only their structure, but also the activity within them and their ever changing states.
Friday, 17th January
Michael Atiyah (Edinburgh) 3.004.00PM, Room 6206, JCMB Discrete groups, von Neumann algebras and L^2 Betti numbersNearly 40 years ago I wrote a about index theory on the universal covering Y of a compact manifold X. Assuming the fundamental group is infinite, Y is noncompact and one wants L2 solutions of the differential equations. Using the dimension theory introduced by von Neumann (where dimensions are real numbers) one can define the L2 index on Y and prove that it is the same as the index on X. This is useful, and of course the L2 index is then an integer. But the individual dimensions are in principle just real numbers. A case of special interest occurs in the Hodge theory of harmonic forms, which gives the Betti numbers. I raised the question of whether there were manifolds Y for which the L2 Betti numbers were not integral or even rational. Over the past 40 years much work has been done on this problem and the lecture by Lukasz Grabowski which follows will bring the story up to date.
(1976 paper)
I'll start with explaining how the problem posed by M. Atiyah in his paper on the L2index theorem can be phrased purely in terms of the group ring of the fundamental group. For example, the integrality of L2Betti numbers corresponds essentially to the question of whether the group ring can be embedded into a skew field.
Then I'll review some positive results, i.e. for which fundamental groups the sets of possible L2Betti numbers are known.
The main part of the talk will be about the developments of essentially the last 12 years, which show that when the fundamental groups are certain wreath products then exact computations of L2Betti numbers are possible and they turn out to be pretty "wild" numbers.
I'll finish with explaining how these results imply that deciding if the L2cohomology of the universal cover of a compact manifold is
nonzero is an algorithmically undecidable problem (in contrast to the cohomology of the manifold itself.)
Autumn 2013
Thursday, 19th December
Scottish Topology Seminar, ICMS, Edinburgh,
Jeremy Gray (Open), June BarrowGreen (Open), Julia Collins (Edinburgh) 1.00PM5.30PM.
Thursday, 28th November
Alan Reid (U. Texas, Austin) 4.10PM, Room 4312, JCMB Recognizing Surface groups and Kleinian groups by their finite
quotientsThis talk will discuss recent work on distinguishing certain classes of finitely presented groups by their finite quotients. If time permits this will include a surprising application of the work of Agol and Wise.
Wednesday, 20th November
Scottish Topology Seminar, Aberdeen.
D.Crowley (MPIM Bonn), B.Hanke (Augsburg), A.Thomas (Glasgow).
Monday, 18th November
Diarmuid Crowley (MPIM, Bonn) 4.10PM, Room 6301, JCMB Free involutions on Kervaire manifoldsThe Kervaire manifold M_K is a certain closed simplyconnected piecewise linear manifold of dimension 4k+2 with the same homology as the product of a pair of (2k+1)spheres. Here are two questions about the Kervaire manifold:
Q1. When the does M_K admit a smooth structure?
Q2. When does M_K admit a free orientation preserving involution?
In dimensions greater than 14, Q1 is a formulation of the Kervaire invariant problem and is now solved in all dimensions except 126. In this talk, I will report on joint research with Ian Hambleton on Q2 and its relationship with Q1. For example, if Q1 has a positive answer then so does Q2. One of our main results is that Q2 has a positive answer in dimension 126.
Our work is based on deep theorems of Brumfiel, Madsen and Milgram from the 70s and is shaped by the recent breakthrough of Hill, Hopkins and Ravenel concerning Q1.
VideoThursday, 14th November
Margaret Beck (HeriotWatt) 4.10PM, Room 6301, JCMB Using the Maslov Index as a stability index for PDEsOne important aspect of understanding the behavior of solutions to PDEs is determining if a given stationary (timeindependent) state is stable. The reason is that, as time evolves, often solutions will be attracted to the stable stationary states and, therefore, knowing which ones are stable enables one to qualitatively predict the largetime behavior of the system. Although there are many approaches to studying stability, many of them begin by investigating the spectrum of the linear operator one obtains by linearizing the PDE about a particular stationary solution. One technique for analyzing this spectrum involves using the Maslov Index as a tool for computing the Morse Index (the number of eigenvalues of a linear operator that have positive real part). Although the connection between the Maslov and Morse indices is not new, it is only recently that certain parts of the PDE community have become interested in the Maslov index as a practical tool in this regard. In this talk, I will outline the connection between stability, the Maslov index, and the Morse index. In addition, I will discuss some recent results and mention open problems that could potentially benefit from collaboration between the topology and PDE communities.
The talk will be colloquiumstyle, correctly assuming that the audience will have a wide variety of backgrounds!
VideoFriday, 1st November
Maxime Bourrigan (IHP, Paris) 4.10PM, Room 6206, JCMB Braids and signaturesA quasimorphism on a group G is a function f : G → R such that f(gg')  f(g)  f(g') is bounded. The study of such functions on diffeomorphism groups has a long history, going back to Poincaré's definition of the rotation number on the group of diffeomorphisms of the circle. In 2003 and 2005, JeanMarc Gambaudo and Étienne Ghys introduced infinitely many new quasimorphisms on groups of areapreserving diffeomorphisms of surfaces, using braids as a kind of discrete analogue of diffeomorphisms.
To do so, Gambaudo and Ghys proved that a family of knot invariants, the (LevineTristram) signatures, define quasimorphisms on the braid groups. More precisely, they gave a formula linking these signatures and a symplectic representation of the braid groups called the Burau representation. The purpose of this talk is to describe how these results (and generalisations thereof) are a consequence of the general relationship between the signature of a bounded 4manifold and the linking form of its boundary.
VideoFriday, 20th September
Scottish Topology Seminar, Glasgow.
Monday, 9th September
How big a finite group can act freely on a product of spheres?'
William Browder (Princeton and Arhus) 10.00AM, Room 5327, JCMB
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