SEMINAR: Groups and Combinatorics Seminar, Computing KazhdanLusztig Polynomials and some Applications


Groups and Combinatorics Seminar, Computing KazhdanLusztig Polynomials and some Applications 
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Frank Lübeck (RWTH Aachen)
will speak on
Computing KazhdanLusztig Polynomials and some Applications
at 3pm Thursday June the 5th in Maths Lecture Room 2.
Abstract:
My interest in KazhdanLusztig polynomials comes from a certain character formula for reductive algebraic groups, which was first conjectured by Lusztig.
More generally, parabolic KazhdanLusztig 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 KazhdanLusztig 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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