3-7 December 2018
RIMS Kyoto
Asia/Tokyo timezone

Higgs bundles for the Geometric Langlands correspondence

5 Dec 2018, 12:00
Room 420 (RIMS Kyoto)

Room 420

RIMS Kyoto

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


Carlos Simpson


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.

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