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SEMINAR: Groups and Combinatorics Seminar, Computing Kazhdan-Lusztig Polynomials and some Applications

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Today's date is Tuesday, October 27, 2020
Groups and Combinatorics Seminar, Computing Kazhdan-Lusztig Polynomials and some Applications Other events...
Frank Lübeck (RWTH Aachen)

will speak on

Computing Kazhdan-Lusztig Polynomials and some Applications

at 3pm Thursday June the 5th in Maths Lecture Room 2.

Abstract:

My interest in Kazhdan-Lusztig polynomials comes from a certain character formula for reductive algebraic groups, which was first conjectured by Lusztig.

More generally, parabolic Kazhdan-Lusztig polynomials can be defined for arbitrary Coxeter groups. These polynomials are notoriously difficult to compute. I will report on an implementation of an algorithm to compute them, which goes much further than previous programs.

It turned out that some of the coefficients of Kazhdan-Lusztig polynomials that I was able to compute have interesting (and for me unexpected) interpretations in the context of conjectures by Guralnick (on a bound of the dimension of first cohomology groups for finite groups) and Wall (on the number of maximal subgroups of any finite group). I will also explain these conjectures and sketch the connection between these topics.
Speaker(s) Frank Lübeck (RWTH Aachen)
Location Maths Lecture Room 2
Contact Irene Pivotto <[email protected]>
Start Thu, 05 Jun 2014 15:00
End Thu, 05 Jun 2014 16:00
Submitted by Irene Pivotto <[email protected]>
Last Updated Mon, 28 Jul 2014 16:04
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