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Classes & TalksWednesday, December 2

Lie Groups Seminar

Wednesday, December 2 · 4-5 p.m. · Building 51

4-5 p.m.
When
  • Wednesday, December 2 · 4-5 p.m.
Where
Building 51134 Memorial Drive · Cambridge, MA · 02139

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About this event

Speaker: Siyan Daniel Li-Huerta (MIT)

Title : A global Fargues–Fontaine curve

Abstract : The "fundamental curve" of arithmetic over nonarchimedean local fields is the Fargues–Fontaine curve. You'd think the "fundamental curve" of arithmetic over global function fields is... just the associated curve over $\mathbb{F}_q$. In this talk, I will instead advocate for a different "curve", in the spirit of the Fargues–Fontaine curve. I will explain how its moduli stack of bundles is the function field analog of Igusa stacks, as well as the perspective it gives on Langlands duality.

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