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arXiv · 1610.06261

Algebraic representations and constructible sheaves

Geordie Williamson
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Abstract

These are notes for my Takagi lecture at the University of Tokyo in November, 2016. 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-Mirkovic 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.

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Geordie Williamson. 2016-10-20. Algebraic representations and constructible sheaves. https://arxiv.org/abs/1610.06261

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