Cohomology and representation theory for finite groups of Lie type

This web page contains material for the workshop Cohomology and representation theory for finite groups of Lie type.

Problem list

Problem list

Letter to participants (read before commenting on the problem list)

Workshop notes

Monday

l-modular representations of finite reductive groups by B. Srinivasan

Introduction to Kazhdan-Lusztig polynomials(Second half of Lin's lecture) (photos)

Monday afternoon discussion I (typed up)

Monday afternoon discussion II (modified version)

Monday discussion (directory of photos)

Tuesday

The Atlas of Lie groups and representations: Character Table by A. Noel

Calculating cohomology by J. Carlson

Computing (with) characters and respresentations by F. Luebeck

Wednesday

Website for the software LiE

demo.txt Magma demonstration file by D.Roozemond

demo_defs.txt Magma demonstration file by D.Roozemond

magma1.txt Transcript of demonstration given by D.Roozemond(1 of 2).

magma2.txt Transcript of demonstration given by D.Roozemond(2 of 2).

Cohomology of finite groups by R. Guralnick

Reduced standard modules and cohomology by L. Scott

Thursday

Group Photo I

Group Photo II

Group Photo III

Categorification by B. Srinivasan and P. Webb

An introduction to the cohomology and modular representation theory of the symmetric group by D. Hemmer

LiE.txt a demonstration of the software LiE by D. Roozemond

Photo 1 Photo 2 Photo 3 Photo 4 Photo 5

Photo 6 Photo 7 Photo 8 Photo 9 Photo 10

Photo 11 Photo 12 Photo 13 Photo 14 Photo 15

Friday

Georgia VIGRE Group

qua6-25.txt Gap demonstration (QuaGroup package) by C. Bendel

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Photo 31 Photo 32

Useful information

Schur algebra calculations by J. Carlson (motivated by workshop problem sessions)

The latest stand alone package Coxeter 3 by Fokko Du Cloux

GAP lessons by P. Webb

Irreducible Modular Representations of Finite and Algebraic Groups Notes by Christopher Drupieski and Terrell Hodge, based on lectures by Leonard Scott.

The organizers have begun a wiki with a bibliography and reference material, located at http://modularrepresentations.wetpaint.com/. That wiki is viewable by anyone and can easily be edited.

Instructions for Downloading GAP

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A list of registered participants is available.




Questions or comments to workshops@aimath.org