Dec 3 – 7, 2018
RIMS Kyoto
Asia/Tokyo timezone

Introduction to the geometric Langlands conjecture (1)

Dec 3, 2018, 10:00 AM
Room 420 (RIMS Kyoto)

Room 420

RIMS Kyoto

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


Dima Arinkin


The geometric Langlands program takes its origin from a series of conjectures formulated by Langlands in late 1960's. A geometric version of these conjectures relates two natural spaces associated to a Riemann surface: the space of vector bundles and the space of local systems. In my talks, I will provide an informal introduction to the (global) geometric Langlands conjecture. I will then focus on some recent developments in this area, which combine classical ideas and modern tools. Finally, I will discuss some related `flavors' of the geometric Langlands program: its classical limit and its quantization.

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