Algebraic representations and constructible sheaves

作者：Williamson Geordie^*

来源：Japanese Journal of Mathematics, 2017, 12(2): 211-259.

DOI：10.1007/s11537-017-1646-1

• algebraic groups
• representations
• perverse sheaves
• Hecke category

I survey what is known about simple modules for reductive algebraic groups. The emphasis is on characteristic p > 0 and Lusztig's character formula. I explain ideas connecting representations and constructible sheaves (Finkelberg-MirkoviAc conjecture) in the spirit of the Kazhdan-Lusztig conjecture. I also discuss a conjecture with S. Riche (a theorem for GL (n) ) which should eventually make computations more feasible.

• 出版日期2017-9