Speaker
Dima Arinkin
Description
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.