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Number Theory Seminar
Seminar information archive ～09/12｜Next seminar｜Future seminars 09/13～
| Date, time & place | Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Naoki Imai, Shane Kelly |
2022/11/02
17:00-18:00 Hybrid
Laurent Fargues (Mathematics Institute of Jussieu–Paris Rive Gauche, University of Tokyo)
Some compact generators of D_{lis} (Bun_G,\Lambda) (English)
Laurent Fargues (Mathematics Institute of Jussieu–Paris Rive Gauche, University of Tokyo)
Some compact generators of D_{lis} (Bun_G,\Lambda) (English)
[ Abstract ]
I will speak about some aspect of my joint work with Scholze on the geomerization of the local Langlands correspondence. More precisely, I will explain how to construct explicitly some compact generators of the derived category of étale sheaves on Bun_G, the Artin v-stack of G-bundles on the curve. Those compact generators generalize the classical compactly induced representations in the classical local Langlands program. For this we construct some particular charts on Bun_G and this will be the occasion to review some geometric constructions in our joint work.
I will speak about some aspect of my joint work with Scholze on the geomerization of the local Langlands correspondence. More precisely, I will explain how to construct explicitly some compact generators of the derived category of étale sheaves on Bun_G, the Artin v-stack of G-bundles on the curve. Those compact generators generalize the classical compactly induced representations in the classical local Langlands program. For this we construct some particular charts on Bun_G and this will be the occasion to review some geometric constructions in our joint work.
