UWA Logo What's On at UWA
   UWA HomeProspective Students  | Current Students  | Staff  | Alumni  | Visitors  | About  |     Search UWA    for      
 

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

* Login to add events... *
Today's date is Friday, March 29, 2024
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 L�beck (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
Included in the following Calendars:
Additional Information:
  • Locations of venues on the Crawley and Nedlands campuses are available via the Campus Maps website.
  • Download this event as: Text | iCalendar
  • Mail this event:

Top of Page
© 2001-2010  The University of Western Australia
Questions? Mail [email protected]