Calabi-Yau mirror symmetry: from categories to curve-counts

Princeton/IAS Symplectic Geometry Seminar
Topic:Calabi-Yau mirror symmetry: from categories to curve-counts
Speaker:Tim Perutz
Affiliation:University of Texas at Austin
Date:Friday, November 15
Time/Room:1:30pm - 2:30pm/S-101
Video Link:https://video.ias.edu/pisgs/2013/1115-TimPerutz

I will report on joint work with Nick Sheridan concerning structural aspects of mirror symmetry for Calabi-Yau manifolds. We show (i) that Kontsevich's homological mirror symmetry (HMS) conjecture is a consequence of a fragment of the same conjecture which we expect to be much more amenable to proof; and, in ongoing work, (ii) that from HMS one can deduce (some of) the expected equalities between genus-zero Gromov-Witten invariants of a CY manifold and the Yukawa couplings of its mirror.