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Perverse Sheaves & the Decomposition Theorem

Working Seminar Winter 2016


The aim of this working seminar is to give an introduction to Intersection (Co)Homology, Perverse Sheaves, the Decomposition Theorem, and end up with a tour of some classical and modern applications and conjectures. We will try to develop as much as possible "ground up", so no particular pre-knowledge is assumed.

Schedule


All talks taking place Tuesdays, 1-2pm, in JCMB 5326.

(Open in Google Calendar)


Main references:


The literature on this topic is vast. The three main sources we will use for the bulk of the seminar are:

  • M.A. de Cataldo and L. Migliorini, The decomposition theorem, perverse sheaves and the topology of algebraic maps. Bull. Amer. Math. Soc. (N.S.) 46 (2009), no. 4, 535–633. Available online.
  • F. Kirwan and J. Woolf, An introduction to intersection homology theory. Second edition. Chapman & Hall/CRC, Boca Raton, FL, 2006. Book website.
  • Georgie Williamson, An illustrated guide to perverse sheaves, unpublished notes, available online.


Other useful references will be pointed out during the semester.

Extra material



The seminar is coordinated by Martina Lanini and Johan Martens. All are welcome to attend. If you want to be included in the mailing list please email johan.martens at ed.ac.uk.


Page last modified on Tuesday 19 of January, 2016 18:06:39 UTC