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K-State Today

February 16, 2016

Mathematics Colloquium lecture Feb. 16

By Reta McDermott

Nicolò Sibilla, University of British Columbia, will present "Mirror Symmetry and the Topological Fukaya Category" as part of the Mathematics Department Colloquium Lecture series at 2:30 p.m. Tuesday, Feb. 16, in 122 Cardwell Hall.

The abstract for the lecture is: Mirror symmetry is a mysterious geometric duality that emerges from string theory. It predicts that spaces come in pairs called mirror partners, and that there exists a highly non-trivial dictionary that relates their geometries. One of the key concepts in mirror symmetry is the Fukaya category, which is an invariant of symplectic manifolds that appears in many different guises in various contexts ranging from physics to representation theory and algebraic geometry. In this talk, Sibilla will introduce mirror symmetry and the Fukaya category. Sibilla will then focus on recent advances that allow us to compute the Fukaya category in a large class of important situations and explain applications to mirror symmetry.