Representation Theory Seminar -- Past seminars

Fall 2018

Spring 2018

Fall 2017

Spring 2017

Fall 2016

Spring 2015

Fall 2014

Spring 2014

This semester in addition to inivited talks by outside speakers we will have some talks by local speakers about affine Grassmannians in geometric representation theory.


Fall 2013

This semester in addition to inivited talks by outside speakers we will have some more expository talks by local speakers, loosely organized around Springer Theory.


Spring 2013

This semester we will be running a reading seminar on days when there is no outside speaker. The goal will be to understand the recent proof of the positivity of coefficients of Kazhdan-Lustig polynomials by Elias and Williamson.

Bibliography:

  1. Ben Elias, Geordie Williamson, The Hodge theory of Soergel bimodules. preprint arXiv:1212.0791
  2. Wolfgang Soergel, "Kazhdan-Lusztig-Polynome und unzerlegbare Bimoduln über Polynomringen", available in English or German from the author's webpage
  3. Some background reading on Hecke algebras and Kazhdan-Lusztig polynomials, for instance the first section of Soergel's "Kazhdan-Lusztig polynomials and a combinatoric[s] for tilting modules". Represent. Theory 1 (1997), 83-114.
  4. Section 1 from: Michel Brion, "Equivariant cohomology and equivariant intersection theory", lecture notes available at this link
  5. Mark de Cataldo and Luca Migliorini, "The Decomposition Theorem and the topology of algebraic maps", Bulletin of the A.M.S., Vol. 46, n.4, (2009), 535-633, and "The Hard Lefschetz Theorem and the topology of semismall maps", Ann.Scient.Ec.Norm.Sup., t.35. 2002, 759-772.
    Available from the author's website

Talks:


Fall 2012


Spring 2012


Fall 2011



Spring 2011

This semester we will run an informal seminar on Double Affine Hecke Algebras (DAHA's) led by Alexei Oblomkov. We will also have a few outside speakers on other topics.

Here is some background material on DAHA's:

Talks:


Spring 2010


Fall 2009