Gauge theory, Mirror symmetry and Langlands duality


Constantin Teleman

UC Berkeley

Northeastern University

Thursday, April 5, 2012


Talk at 4:30 p.m. in 509 Lake Hall

Tea at 4:00 p.m. in 544 Nightingale Hall


Abstract:   The work of Kapustin and Witten has confirmed the importance of Langlands duality in 4-dimensional gauge theory. Less known is the appearance of Langlands duality in 2-dimensional gauge theory (the one that relates to volumes of moduli of flat connections and Verlinde formulas). In this talk, I will spell out the appearance of this duality in relation to Mirror symmetry, specifically in describing the mirror to gauged Gromov-Witten theory. This relates to older work of Donaldson and Hitchin on monopoles, of Seiberg and Witten on 3d gauge theory, and a beautiful description of the homology of the loop Grassmannian due to Bezrukavnikov-Finkelberg-Mirkovic. At a very impressionistic level, the talk will be accessible to people with no prior exposure to some of these notions.

Here are some directions to Northeastern University. Lake Hall and Nightingale Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street. The two halls are connected, with no well-defined boundary in between. In particular, 509 Lake Hall is on the same corridor as 544 Nightingale Hall.

There is free parking available for people coming to the Colloquium at Northeastern's visitor parking (Rennaisance Garage). The entrance is from Columbus Avenue. If coming by car, you should park there and take the parking talon. After the lecture, you may pick up the payment coupon from Andrei Zelevinsky.

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Posted:: March 11, 2012    URL: