Academics

YMSC Topology Seminar| Skeins, clusters and wavefunctions

Time:2023-12-26, Tuesday 16:00-17:00

Venue:C654, Shuangqing Complex Building;Zoom meeting ID: 405 416 0815 Pw: 111111

Organizer:陈伟彦、高鸿灏、黄意、江怡 、林剑锋

Speaker:Mingyuan HU 胡明源 Northwestern University

Abstract:

We are going to explain the three words in the title and how they’re related. To be more specific, we consider a class of Lagrangians in C^3. Their Ekholm-Shende wavefunctions live in the HOMFLY skein module, encoding open Gromov-Witten invariants in all genus and with arbitrary numbers of boundary components. We develop a skein theoretical cluster theory, prove that these wavefunctions are related to each other under "cluster mutation", and hence compute them. This is joint work with Gus Schrader and Eric Zaslow.

DATEDecember 26, 2023
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