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Mathematics Colloquium

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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

 

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