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Lie Theory March 10, 2008 - March 14, 2008
Registration Deadline: March 01, 2008 over 16 years ago
To apply for Funding you must register by: December 10, 2007 over 16 years ago
Parent Program:
Organizers Alexander Kleshchev, Arun Ram, Richard Stanley (chair), Bhama Srinivasan

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The emphasis will be on the interplay of combinatorics, Lie theory and finite group theory. Connections between these areas go back at least to Schur and Weyl: representations of the symmetric group, polynomial representations of general linear group, Weyl’s character formula. In the last 20 years the field has seen great development as the combinatorics of Young tableaux has been generalized to any Lie type via the theory of crystals. Littlemann’s path model approach to crystals makes a strong connection between this theory and the geometry of the ?ag variety and recent activity is exploring the connection between representation theory, the geometry of the loop Grassmannian and affine Hecke algebras. In the modular representation theory of finite groups of Lie type, connections with complex geometry have arisen in the defining characteristic case and with affine Kac-Moody algebras in the non-defining characteristic case. Topics covered by the workshop will include finite groups of Lie type, algebraic groups, quantum groups, affine Lie algebras, Hecke algebras, cluster algebras, W-algebras, and modular Lie algebras. 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 "Groups" on the bottom of the page and enter the appropriate group code CGLIE (this code is not case sensitive) into box labeled: "I am an Attendee" - this will open up a window showing all of the group information. You will proceed from there. The cut-off date for reservations is February 23, 2008.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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 10, 2008
09:30 AM - 10:30 AM
  Bases, Lattices, Hyperbolic Kac-Moody Algebras
Georgia Benkart (University of Wisconsin-Madison)
11:00 AM - 12:00 PM
  Mirabolic affine Grassmannian and character sheaves
Victor Ginzburg (University of Chicago)
02:00 PM - 03:00 PM
  Tensor categories attached to cells in Weyl groups
Victor Ostrik (University of Oregon)
04:10 PM - 05:00 PM
  Cluster algebras
Sergey Fomin (University of Michigan)
Mar 11, 2008
09:30 AM - 10:30 AM
  Canonical bases and construction of Chevalley groups over Z
George Lusztig
11:00 AM - 12:00 PM
  Superbosonization of invariant matrix ensembles
Peter Littelmann (Universität zu Köln)
02:00 PM - 03:00 PM
  Monoidal categorifications of cluster algebras
Bernard Leclerc (Université de Caen)
03:30 PM - 04:30 PM
  Sheaves on affine flag varieties, modular representations and Lusztig's conjecture
Peter Fiebig (Friedrich-Alexander-Universität Erlangen-Nürnberg)
Mar 12, 2008
09:30 AM - 10:30 AM
  Small nonrestricted representations and completely prime primitive ideals.
Alexander Premet (University of Manchester)
11:00 AM - 12:00 PM
  Semicontinuity properties of Kazhdan-Lusztig cells
Cedric Bonnafe (Université de Montpellier)
Mar 13, 2008
09:30 AM - 10:30 AM
  Quantized symplectic actions and W-algebras
Ivan Loseu (Northeastern University)
11:00 AM - 12:00 PM
  Langlands correspondence for loop groups
Edward Frenkel (University of California, Berkeley)
02:00 PM - 03:00 PM
  Abelian Ideals, KR--modules and Koszul algebras
Vyjayanthi Chari
04:00 PM - 05:00 PM
  Poisson vertex algebras and integrable systems
victor kac
Mar 14, 2008
09:30 AM - 10:30 AM
  James' conjecture for Hecke algebras of exceptional type
Meinolf Geck (Universität Stuttgart)
11:00 AM - 12:00 PM
  Two applications of Littelmann's path model
Susumu Ariki
01:30 PM - 02:30 PM
  Coxeter group actions on the cohomology of toric varieties
Gustav Lehrer
03:00 PM - 04:00 PM
  Counting Characters of p'-degree
Gunter Malle (Universität Kaiserslautern)