Home /  Homological Methods in Representation Theory


Homological Methods in Representation Theory March 31, 2008 - April 04, 2008
Registration Deadline: March 29, 2008 over 16 years ago
To apply for Funding you must register by: December 31, 2007 over 16 years ago
Parent Program:
Organizers David Benson, Daniel Nakano(chair), Raphael Rouquier

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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.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, 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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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Mar 31, 2008
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 (Université de Montpellier)
02:00 PM - 03:00 PM
  Cohomology of finite groups of Lie type
Cornelius Pillen (University of South Alabama)
04:10 PM - 05:00 PM
  Classifying spaces and cohomology of finite groups
David Benson (University of Aberdeen)
Apr 01, 2008
09:30 AM - 10:30 AM
  The geometry of tensor triangulated categories of representations
Paul Balmer (University of California, Los Angeles)
11:00 AM - 12:00 PM
  Localizing subcategories of the stable module category of a finite group
Srikanth Iyengar (University of Utah)
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
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
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 (City University)
Apr 04, 2008
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)