Departmental Colloquium

Event Information Geometric constructions in representation theory and symplectic duality
16:10 on Wednesday November 29, 2017
17:00 on Wednesday November 29, 2017
BA6183, Bahen Center, 40 St. George St.
Joel Kamnitzer

University of Toronto

There are two geometric realizations of the representations of a semisimple Lie algebra. The first construction uses quiver varieties, while the second uses geometric Langlands duality. A long-standing open problem is to relate these two geometric constructions. We are now very close to answering this question using some input from theoretical physics, in particular through the moduli of vacua for 3d supersymmetric field theories.