{"id":795,"date":"2025-01-16T11:56:13","date_gmt":"2025-01-16T11:56:13","guid":{"rendered":"https:\/\/hodge.maths.ed.ac.uk\/?page_id=795"},"modified":"2025-01-24T11:20:55","modified_gmt":"2025-01-24T11:20:55","slug":"structure-and-symmetry-day","status":"publish","type":"page","link":"https:\/\/hodge.maths.ed.ac.uk\/?page_id=795","title":{"rendered":"Structure and Symmetry Day"},"content":{"rendered":"\n

Wednesday 29th January 2025<\/h2>\n\n\n\n

Bayes Centre, Room 5.10 (ICMS)<\/h3>\n\n\n\n

A joint event for all members of the Maxwell Institute Structure and Symmetry theme. We will have talks from across the Hodge Institute, EMPG, and the MAXIMALS group, as well as a poster session.<\/p>\n\n\n\n

Schedule<\/h2>\n\n\n\n
10:00-10:40<\/td>Danil Ko\u017eevnikov<\/a><\/td><\/tr>
10:40-11:00<\/td>Tea & Coffee<\/strong><\/td><\/tr>
11:00-11:40<\/td>Lotte Hollands<\/a><\/td><\/tr>
11:50-12:30<\/td>Emily Roff<\/a><\/td><\/tr>
12:30-13:30<\/td>Lunch<\/strong><\/td><\/tr>
13:30-14:10<\/td>Laura Ciobanu<\/a><\/td><\/tr>
14:20-15:00<\/td>Duncan Laurie<\/a><\/td><\/tr>
15:00-15:20<\/td>Tea & Coffee<\/strong><\/td><\/tr>
15:20-16:00<\/td>Poster Session<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Details<\/h2>\n\n\n\n

Click a talk to see an abstract (if supplied).<\/p>\n\n\n\n

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Danil Ko\u017eevnikov – Skeleta of complete intersections and mirror symmetry<\/summary>\n

Homological mirror symmetry is a conjecture due to Maxim Kontsevich, predicting an equivalence between the derived category of coherent sheaves of an algebraic variety X and the Fukaya category of the “mirror” symplectic manifold Y. One of the most notable mirror constructions are Batyrev-Borisov mirrors, where both spaces are presented as complete intersections inside toric varieties, which means that a lot of their properties can be understood in purely combinatorial terms. In this talk, I will discuss some new results concerning Lagrangian skeleta of complete intersections in (C*)^n and explain how they could be used as the first step towards proving HMS for general Batyrev-Borisov pairs, following an approach that has already been applied in several special cases. <\/p>\n<\/details>\n<\/div>\n<\/div>\n\n\n\n

<\/div>\n\n\n\n
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Lotte Hollands – BPS solitons, vortices and Lefschetz thimbles in 2d N=(2,2) QFT’s through the perspective of spectral networks<\/p>\n<\/div>\n\n\n\n

<\/div>\n\n\n\n
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Emily Roff – Homotopy by degrees, and the magnitude-path spectral sequence<\/p>\n<\/div>\n\n\n\n

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Laura Ciobanu – Ordering groups and the Identity Problem<\/summary>\n

To order a group means to find a total ordering of its elements that is invariant under (right, or left) multiplication. Orders on groups connect to many other areas, in particular dynamics and topology.
In this talk I will explore in which groups and situations a partial order can be extended to a total order. In particular, in nilpotent groups the question about extending partial to total orders is connected to the Identity Problem: this asks if the subsemigroup generated by a given finite set of elements of a group contains the identity element of the group. I plan to explain these connections, and why the Identity Problem is decidable in nilpotent groups.
Joint work with Corentin Bodart and George Metcalfe.<\/p>\n<\/details>\n<\/div>\n<\/div>\n\n\n\n

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Duncan Laurie – Introducing… quantum toroidal algebras<\/summary>\n

Quantum toroidal algebras exist as the double affine objects within the quantum setting. In this talk we\u2019ll work towards their definition from the ground up<\/em>, briefly mentioning various motivations and connections along the way. We shall then highlight some of the major successes and difficulties in studying these algebras, and outline results by the speaker in this area. Time permitting, we\u2019ll finish with possible future directions.<\/p>\n<\/details>\n<\/div>\n\n\n\n

<\/div>\n<\/div>\n\n\n\n

If you have any questions please contact the organisers: Matthew Cordes (HW), Alessandro Sisto (HW), James Timmins (UoE), and Matthew Walters (HW).<\/p>\n","protected":false},"excerpt":{"rendered":"

Wednesday 29th January 2025 Bayes Centre, Room 5.10 (ICMS) A joint event for all members of the Maxwell Institute Structure and Symmetry theme. We will have talks from across the Hodge Institute, EMPG, and the MAXIMALS group, as well as a poster session. Schedule 10:00-10:40 Danil Ko\u017eevnikov 10:40-11:00 Tea & Coffee 11:00-11:40 Lotte Hollands 11:50-12:30 […]<\/p>\n","protected":false},"author":30,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-795","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/pages\/795","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/users\/30"}],"replies":[{"embeddable":true,"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=795"}],"version-history":[{"count":26,"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/pages\/795\/revisions"}],"predecessor-version":[{"id":855,"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/pages\/795\/revisions\/855"}],"wp:attachment":[{"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}