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比利时vs摩洛哥足彩 ,
university of california san diego

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math 209 - number theory

david helm

university of texas, austin

a derived local langlands correspondence for $\mathrm{gl}_n$

abstract:

we describe joint work (with david ben-zvi and david nadler) that constructs an equivalence between the derived category of smooth representations of $\mathrm{gl}_n(\mathbb{q}_p)$ and a certain category of coherent sheaves on the moduli stack of langlands parameters for $\mathrm{gl}_n$. the proof of this equivalence is essentially a reinterpretation of $k$-theoretic results of kazhdan and lusztig via derived algebraic geometry. we will also discuss (conjectural) extensions of this work to other quasi-split groups, and to the modular representation theory of $\mathrm{gl}_n$.

host: kiran s. kedlaya

may 16, 2013

2:00 pm

ap&m 7321

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