Algebraic groups and quantum groups : International Conference on Representation Theory of Algebraic Groups and Quantum Groups '10, August 2-6, 2010, Graduate School of Mathematics, Nagoya University,

Combinatorial group theory Representations of groups
American Mathematical Society
2012
EISBN 0821885367
Preface.
Program.
W-algebras at the critical level.
1. Introduction.
2. Associated graded vertex Poisson algebras.
3. BRST cohomology of restricted Wakimoto modules.
4. Proof of Theorems 1.1 and 1.2.
References.
Highest weight modules at the critical level and noncommutative Springer resolution.
1. Introduction.
2. Noncommutative Springer resolution.
3. Perverse sheaves on the affine flag variety.
4. Results of Frenkel-Gaitsgory and a proof of Theorem 1.
References.
An orthogonal form for level two Hecke algebras with applications.
1. Introduction.
2. Level one Hecke algebras.
3. Level two Hecke algebras.
4. Khovanov's arc algebra.
5. Category for Grassmannians.
6. The general linear supergroup.
7. The walled Brauer algebra.
References.
On the restricted projective objects in the affine category at the critical level.
1. Introduction.
2. Affine Kac-Moody algebras.
3. The deformed category .
4. Projective objects in ̂_{ } .
5. Block decomposition of ̂ _{ } .
6. The linkage principle.
References.
Remarks on modular representations of finite groups of Lie type in non-defining characteristic.
1. Introduction.
2. On modular unipotent representations.
3. Principal series representations.
4. On the dimensions of irreducible representations.
References.
Quantum queer superalgebras.
Toward Berenstein-Zelevinsky data in affine type , Part I: Construction of the affine analogs --Toward Berenstein-Zelevinsky data in affine type , Part II: Explicit description --On tropical dualities in cluster algebras --KKR type bijection for the exceptional affine algebra ₆⁽¹⁾ --Iwahori’s question for affine Hecke algebras --On Weyl modules of cyclotomic -Schur algebras --
Program.
W-algebras at the critical level.
1. Introduction.
2. Associated graded vertex Poisson algebras.
3. BRST cohomology of restricted Wakimoto modules.
4. Proof of Theorems 1.1 and 1.2.
References.
Highest weight modules at the critical level and noncommutative Springer resolution.
1. Introduction.
2. Noncommutative Springer resolution.
3. Perverse sheaves on the affine flag variety.
4. Results of Frenkel-Gaitsgory and a proof of Theorem 1.
References.
An orthogonal form for level two Hecke algebras with applications.
1. Introduction.
2. Level one Hecke algebras.
3. Level two Hecke algebras.
4. Khovanov's arc algebra.
5. Category for Grassmannians.
6. The general linear supergroup.
7. The walled Brauer algebra.
References.
On the restricted projective objects in the affine category at the critical level.
1. Introduction.
2. Affine Kac-Moody algebras.
3. The deformed category .
4. Projective objects in ̂_{ } .
5. Block decomposition of ̂ _{ } .
6. The linkage principle.
References.
Remarks on modular representations of finite groups of Lie type in non-defining characteristic.
1. Introduction.
2. On modular unipotent representations.
3. Principal series representations.
4. On the dimensions of irreducible representations.
References.
Quantum queer superalgebras.
Toward Berenstein-Zelevinsky data in affine type , Part I: Construction of the affine analogs --Toward Berenstein-Zelevinsky data in affine type , Part II: Explicit description --On tropical dualities in cluster algebras --KKR type bijection for the exceptional affine algebra ₆⁽¹⁾ --Iwahori’s question for affine Hecke algebras --On Weyl modules of cyclotomic -Schur algebras --
