Mathematics 274Z
Gromov-Witten Invariants and Mirror Symmetry (220498)
Sebastian Haney2027 Spring (4 Credits)
Schedule: WF 0900 AM - 1015 AM
Instructor Permissions: None
Enrollment Cap: n/a
Gromov-Witten invariants are numbers which can be interpreted as counts of holomorphic curves in symplectic manifolds.This course will be an introduction to Gromov-Witten theory for symplectic manifolds, with a view toward their connections to mirror symmetry and Fukaya categories. We will discuss the construction of genus zero Gromov-Witten invariants, i.e. counts of rational curves, as well as some of their classical applications to low-dimensional symplectic topology and Hamiltonian dynamics. In the second part of the class, we will explain the role of Gromov-Witten invariants in mirror symmetry, and survey some related recent developments. Potential topics include global Kuranishi charts, real and open Gromov-Witten invariants, and computations from Fukaya categories.
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