SEMINAR: Groups and Combinatorics Seminar, Computing Kazhdan-Lusztig Polynomials and some Applications
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Groups and Combinatorics Seminar, Computing Kazhdan-Lusztig Polynomials and some Applications |
Other events...
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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 L�beck (RWTH Aachen)
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Location |
Maths Lecture Room 2
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Contact |
Irene Pivotto
<[email protected]>
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Start |
Thu, 05 Jun 2014 15:00
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End |
Thu, 05 Jun 2014 16:00
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Submitted by |
Irene Pivotto <[email protected]>
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Last Updated |
Mon, 28 Jul 2014 16:04
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