3–7 déc. 2018
RIMS Kyoto
Fuseau horaire Asia/Tokyo

Higgs bundles for the Geometric Langlands correspondence

5 déc. 2018, 12:00
1h
Room 420 (RIMS Kyoto)

Room 420

RIMS Kyoto

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502 JAPAN

Orateur

Carlos Simpson

Description

We present current joint work with Donagi and Pantev, on the construction of some local systems entering into the geometric Langlands correspondence, by constructing the corresponding parabolic logarithmic Higgs bundles. We look at the case of a compact genus 2 curve. The key feature, as predicted by the program of Donagi and Pantev, is that the spectral variety of the Higgs bundle on Bun is identified with a blow-up of the Hitchin fiber.

Documents de présentation

Aucun document.