|Date: Wednesday, December 11, 2013
Title: Mirror Symmetry Made Easy
Abstract: I will ll explain, in language aimed at a second year graduate student, a conceptually simple construction of the mirror to an affine Calabi-Yau manifold, with many applications to representation theory, Teichmuller theory, cluster algebras, and symplectic and algebraic geometry. These include a unification and generalisation of Lusztig's canonical basis, the trace functions on the character variety, the Fock-Goncharov dual basis conjecture, the Fomin-Zelevinski Laurent phenomenon, the classical theta functions, the Gelfand-Cetlin polytopes, and the Tao-Knutson hives. I won't assume any previous knowledge of any of these topics.
Speaker: Sean Keel
Institution: Univ of Texas, Austin