Mar. 21    INF.DIMEN.ALGEBRAS & THEIR DEFORMATIONS  [E.Frenkel, N.Reshetikhin]
           Tamas Hausel, UCB
           Mirror symmetry, Langlands duality, and Hitchin systems
           3102 Etcheverry,  3:10-4:00pm
   In this talk I will touch on some duality theories appearing recently in
   physics (such as mirror symmetry, T-duality and S-duality) and also in
   number theory and representation theory (Langlands duality, Geometric
   Langlands Correspondence). Then I will explain a project with M.Thaddeus,
   in which we try to combine the above dualities and come up with a mathemat-
   ical duality, some kind of mirror symmetry, between Hitchin systems for
   Langlands dual groups. I will explain our calculations which confirms this
   duality by proving the so-called homological mirror test for the 2 Hitchin
   systems in some special cases. I will define and comment on some neccessary
   ingredients to the story: namely stringy E-polynomials, and in the orbifold
   case, their twisting with discrete torsion.