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Gromov-Witten invariants and mirror symmetry
MATH 274Z

Course Information

Description

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.

School Faculty of Arts & Sciences
Credits 4
Cross Reg

Available for Harvard Cross Registration

Department Mathematics
Course Component Lecture
Grading Basis FAS Letter Graded
General Education N/A
Quantitative Reasoning with Data N/A
Divisional Distribution Science & Engineering & Applied Science
Course Level For Undergraduate and Graduate Students