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Homological Methods in Representation Theory

March 31, 2008 to April 04, 2008
Organized By: David Benson, Daniel Nakano(chair), Raphael Rouquier
 
Parent Programs:
Representation Theory of Finite Groups and Related Topics
 
Participant List:
View a List of Registered Participants
 
Over the last century, algebraic invariants like cohomology have been a fundamental tool in studying properties of topological spaces. In the last 40 years, this trend has been reversed, cohomology and other homological methods have been used to study algebraic objects by introducing geometry (i.e., algebraic varieties, derived categories) that captures information about the algebras and their representations. The theme of this workshop will involve exploring the deep connections between representations and their underlying geometry. The main topics include:

1) Cohomology Theory: Varieties for Modules (for finite group schemes, quantum groups and other types of algebras), Endopermutation and Endotrivial Modules, p-local Finite Groups;

2) Derived Categories: Broue's Conjecture, Structure of Triangulated Categories, Representation Dimension;

3) Representations and Cohomology of Specific Groups and Algebras: Symmetric Groups, Finite Chevalley Groups, Reductive Algebraic Groups and associated Frobenius kernels.

The lectures at this meeting will be aimed at presenting new developments in the area in a manner accessible for young researchers in the field.

Accommodations:

A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The following Group Code should be entered in the "Comment" field when booking through our Website. Group Code = CGMS58 .
The cut-off date for reservations is March 16, 2008.


A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: ES0000. The cut-off date for reservations is February 29, 2008.
 

Follow this link to read about the new U.S. visa requirements

 

Schedule

Monday March 31, 2008

09:30AM - 10:30AM  Markus Linckelmann On graded centers of stable and derived module categories    (See Abstract)
11:00AM - 12:00PM  Cedric Bonnafe Deligne-Lusztig restriction of modular Gelfand-Graev representations    (See Abstract)
02:00PM - 03:00PM  Cornelius Pillen Cohomology of finite groups of Lie type    (See Abstract)
04:10PM - 05:00PM  Dave Benson Classifying spaces and cohomology of finite groups ( Lec. will be held at Evans Hall )    (See Abstract)

Tuesday April 1, 2008

09:30AM - 10:30AM  Paul Balmer The geometry of tensor triangulated categories of representations    (See Abstract)
11:00AM - 12:00PM  Srikanth Iyengar Localizing subcategories of the stable module category of a finite group    (See Abstract)
02:00PM - 03:00PM  David Hemmer An application of topology to computing the cohomology of Young modules for the symmetric group    (See Abstract)
03:30PM - 04:30PM  Brian Parshall Reduced standard modules, filtrations, and cohomology    (See Abstract)

Wednesday April 2, 2008

09:30AM - 10:30AM  Bernhard Keller Mutations of quivers with potentials and derived equivalences    (See Abstract)
11:00AM - 12:00PM  Jesper Grodal Local-to-global principles for groups and p-local finite groups    (See Abstract)

Thursday April 3, 2008

09:30AM - 10:30AM  Henning Andersen Tensoring with the Steinberg module    (See Abstract)
11:00AM - 12:00PM  Jonathan Kujawa Cohomology and Varieties for Lie Superalgebras    (See Abstract)
02:00PM - 03:00PM  Eric Friedlander p-nilpotent operators and vector bundles    (See Abstract)
03:30PM - 04:30PM  Radha Kessar Controlling fusion in saturated fusion systems    (See Abstract)

Friday April 4, 2008

09:30AM - 10:30AM  Jon Carlson Generic kernels and other constructions of modules over group (scheme) algebras    (See Abstract)
11:00AM - 12:00PM  Julia Pevtsova Spectra of tensor triangulated categories    (See Abstract)
02:00PM - 03:00PM  Alison Parker Homomorphisms and higher extensions for Schur algebras and symmetric groups    (See Abstract)
03:30PM - 04:30PM  Henning Krause The representation dimension of a finite dimensional algebra    (See Abstract)

Currently Available Videos

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