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Lie Theory

March 10, 2008 to March 14, 2008
Organized By: Alexander Kleshchev, Arun Ram, Richard Stanley (chair), Bhama Srinivasan
 
Parent Programs:
Combinatorial Representation Theory
Representation Theory of Finite Groups and Related Topics
 
Participant List:
View a List of Registered Participants
 
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.
 

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

 

Schedule

Monday March 10, 2008

09:30AM - 10:30AM  Georgia Benkart Bases, Lattices, Hyperbolic Kac-Moody Algebras    (See Abstract)
11:00AM - 12:00PM  Viktor Ginzburg Mirabolic affine Grassmannian and character sheaves
12:00PM - 02:00PM  Lunch
02:00PM - 03:00PM  Viktor Ostrik Tensor categories attached to cells in Weyl groups.    (See Abstract)
03:00PM - 04:00PM  Tea
04:10PM - 05:00PM  Sergey Fomin Evans talk (60 Evans Hall): Cluster algebras    (See Abstract)

Tuesday March 11, 2008

09:30AM - 10:30AM  George Lusztig Canonical bases and construction of Chevalley groups over Z    (See Abstract)
11:00AM - 12:00PM  Peter Littelmann Superbosonization of invariant matrix ensembles    (See Abstract)
12:00PM - 02:00PM  Lunch
02:00PM - 03:00PM  Bernard Leclerc Monoidal categorifications of cluster algebras    (See Abstract)
03:00PM - 03:30PM  Tea
03:30PM - 04:30PM  Peter Fiebig Sheaves on affine flag varieties, modular representations and Lusztig's conjecture    (See Abstract)

Wednesday March 12, 2008

09:30AM - 10:30AM  Alexander Premet Small nonrestricted representations and completely prime primitive ideals.    (See Abstract)
11:00AM - 12:00PM  Cedric Bonnafe Semicontinuity properties of Kazhdan-Lusztig cells

Thursday March 13, 2008

09:30AM - 10:30AM  Ivan Loseu Quantized symplectic actions and W-algebras    (See Abstract)
11:00AM - 12:00PM  Edward Frenkel Langlands correspondence for loop groups    (See Abstract)
12:00PM - 02:00PM  Lunch
02:00PM - 03:00PM  Vyjayanthi Chari TBAbelian Ideals, KR--modules and Koszul algebras    (See Abstract)
03:00PM - 04:00PM  Tea
04:00PM - 05:00PM  Victor Kac Poisson vertex algebras and integrable systems (moved back to MSRI)    (See Abstract)

Friday March 14, 2008

09:30AM - 10:30AM  Meinolf Geck James' conjecture for Hecke algebras of exceptional type    (See Abstract)
11:00AM - 12:00PM  Susumu Ariki Two applications of Littelmann's path model    (See Abstract)
12:00PM - 01:30PM  Lunch
01:30PM - 02:30PM  Gustav Lehrer Coxeter group actions on the cohomology of toric varieties    (See Abstract)
02:30PM - 03:00PM  Tea
03:00PM - 04:00PM  Gunter Malle TBD

Currently Available Videos

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