Derived Symplectic Geometry for Classical Field Theory

Seminar: 
Algebra and Number Theory Seminar
Event time: 
Tuesday, September 5, 2017 - 4:15pm to 5:15pm
Location: 
LOM 205
Speaker: 
Philsang Yoo
Speaker affiliation: 
Yale
Event description: 

One can study a class of classical field theories in a purely algebraic manner, thanks to the recent development of derived symplectic geometry. After reviewing the basics of derived symplectic geometry, I will discuss some interesting examples of classical field theories, including B-model, Chern-Simons theory, and Kapustin-Witten theory; here Kapustin-Witten theory is of interest for the geometric Langlands correspondence and my current understanding of it is mostly based on a joint work with Chris Elliott. Time permitting, I will mention a few different research directions I have taken along the line of understanding instances of Langlands duality.