# (13.07.) Geometric Langlands from 4d N=2 Theories

Aswin Balasubramanian (Hamburg)

13.07.2017 at 16:15

In this talk, I will explain how elements of the Geometric Langlands program can be obtained from a study of 4d N=2 Class S theories. Kapustin-Witten pointed out that the statement of the Geometric Langlands Conjecture (due to Beilinson-Drinfeld) can be arrived at through a study of a four dimensional gauge theory (4d N=4 SYM) under dimensional reduction to two dimensions. However, it was not immediately clear as to how Kapustin-Witten's approach was related to 2d Conformal Field Theory which was one of the primary motivating structures for Beilinson-Drinfeld. Our work (w. J. Teschner, I. Coman-Lohi) establishes a bridge between these two approaches.

Arnold Sommerfeld Center

Theresienstrasse 37

Room 348