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Workshop

Homological Methods in Representation Theory March 31, 2008 - April 04, 2008
Registration Deadline: March 29, 2008 over 6 years ago
To apply for Funding you must register by: December 31, 2007 over 6 years ago
Parent Program: Representation Theory of Finite Groups and Related Topics
Organizers David Benson, Daniel Nakano(chair), Raphael Rouquier
Speaker(s)

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Description

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.


Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI has preferred rates at the Rose Garden Inn, depending on room availability. 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 the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code 123MSRI. Our preferred rate is $139 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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Schedule
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Mar 31, 2008
Monday
09:30 AM - 10:30 AM
  On graded centers of stable and derived module categories
Markus Linckelmann (City University)
11:00 AM - 12:00 PM
  Deligne-Lusztig restriction of modular Gelfand-Graev representations
Cedric Bonnafe
02:00 PM - 03:00 PM
  Cohomology of finite groups of Lie type
Cornelius Pillen
04:10 PM - 05:00 PM
  Classifying spaces and cohomology of finite groups
David Benson (University of Aberdeen)
Apr 01, 2008
Tuesday
09:30 AM - 10:30 AM
  The geometry of tensor triangulated categories of representations
Paul Balmer
11:00 AM - 12:00 PM
  Localizing subcategories of the stable module category of a finite group
Srikanth Iyengar (University of Nebraska)
02:00 PM - 03:00 PM
  An application of topology to computing the cohomology of Young modules for the symmetric group
David Hemmer (University at Buffalo (SUNY))
03:30 PM - 04:30 PM
  Reduced standard modules, filtrations, and cohomology
Brian Parshall (University of Virginia)
Apr 02, 2008
Wednesday
09:30 AM - 10:30 AM
  Mutations of quivers with potentials and derived equivalences
Bernhard Keller (Université de Paris VII (Denis Diderot))
11:00 AM - 12:00 PM
  Local-to-global principles for groups and p-local finite groups
Jesper Grodal (University of Copenhagen)
Apr 03, 2008
Thursday
09:30 AM - 10:30 AM
  Tensoring with the Steinberg module
Henning Andersen
11:00 AM - 12:00 PM
  Cohomology and Varieties for Lie Superalgebras
Jonathan Kujawa (University of Oklahoma)
02:00 PM - 03:00 PM
  p-nilpotent operators and vector bundles
Eric Friedlander (University of Southern California)
03:30 PM - 04:30 PM
  Controlling fusion in saturated fusion systems
Radha Kessar
Apr 04, 2008
Friday
09:30 AM - 10:30 AM
  Generic kernels and other constructions of modules over group (scheme) algebras
Jon Carlson (University of Georgia)
11:00 AM - 12:00 PM
  Spectra of tensor triangulated categories
Julia Pevtsova (University of Washington)
02:00 PM - 03:00 PM
  Homomorphisms and higher extensions for Schur algebras and symmetric groups
Alison Parker
03:30 PM - 04:30 PM
  The representation dimension of a finite dimensional algebra
Henning Krause (Universität Bielefeld)