Back to Departmental Colloquium: Spring 2021
Departmental Colloquium
Date: Thursday, Jan 21, 2021
Time: 4:00PM
Location: JWB 335
Man-Wai Cheung
Harvard University
Title |
Counting tropical curves by quiver representation |
Abstract |
Mikhalkin established the correspondence between holomorphic curves and tropical curves on toric surfaces. Tropical curve (disk) counts are then seen as the algebro-geometric analogue holomorphic disk countings in mirror symmetry. The invariants are heavily used in the mirror construction. On the other hand, spaces of quiver representations have been extensively studied in the representation theory world. Together with Travis Mandel, we have linked up these two appearingly independent areas together and developed an expression of tropical disks countings in terms of quiver representations. |
Representation Theory
Algebraic Geometry
Commutative Algebra