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Claremont Topology Seminar: Heather Lee
November 19, 2024 @ 3:00 pm - 4:00 pm
We welcome all undergraduate/graduate students and faculty to attend topology seminar!
Speaker: Heather Lee
Title: Some examples of homological mirror symmetry
Abstract: Mirror symmetry is a duality phenomenon between symplectic geometry and complex geometry. The homological mirror symmetry (HMS) conjecture was originally formulated by M. Kontsevich in 1994 to fully capture this phenomenon for mirror pairs of compact Calabi-Yau manifolds. Since then, it has been extended to cover a much wider range of manifolds. For example, in 2 real dimensions, among the compact Riemann surfaces, the torus is Calabi-Yau, the sphere is Fano, and all others are of general type; in addition, there are punctured Riemann surfaces which are not compact. In this talk, I will present a few illustrative examples of HMS, including ones worked out by others and from my own research.
