Contents
Preface ix
Perverse coherent sheaves on the nilpotent cone in good characteristic
Pramod N. Achar 1
On the vanishing ranges for the cohomology of finite groups of Lie type II
Christopher P. Bendel, Daniel K. Nakano,
and Cornelius Pillen 25
Tilting modules for the current algebra of a simple Lie algebra
Matthew Bennett and Vyjayanthi Chari 75
Endotrivial modules
Jon F. Carlson 99
Super duality for general linear Lie superalgebras and applications
Shun-Jen Cheng, Ngau Lam, and Weiqiang Wang 113
Structures and representations of affine q-Schur algebras
Jie Du 137
Multiplicative bases for the centres of the group algebra and Iwahori-Hecke
algebra of the symmetric group
Andrew Francis and Lenny Jones 159
Moonshine paths and a VOA existence proof of the Monster
Robert L. Griess Jr. 165
Characteristic polynomials and fixed spaces of semisimple elements
Robert Guralnick and Gunter Malle 173
“Frobenius twists” in the representation theory of the symmetric group
David J. Hemmer 187
The generalized Kac-Wakimoto conjecture and support varieties for the Lie
superalgebra osp(m|2n)
Jonathan Kujawa 201
An approach towards the Koll´ ar-Peskine problem via the Instanton Moduli
Space
Shrawan Kumar 217
On the representations of disconnected reductive groups over Fq
G. Lusztig 227
vii
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