When:
Thursday, September 26, 2024
4:00 PM - 5:00 PM CT
Where: Lunt Hall, 107, 2033 Sheridan Road, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Public - Post Docs/Docs - Graduate Students
Contact:
Eric Zaslow
(847) 467-6447
Group: Department of Mathematics: Geometry/Physics Seminar
Category: Lectures & Meetings, Academic
Title: Skein valued open Gromov-Witten invariants and cluster mutations
Abstract: We consider a class of Lagrangians living in \mathbb{C}^3 . Their Ekholm-Shende wavefunctions, living in the HOMFLY-PT skein module, will encode open Gromov-Witten invariants in all genus and arbitrarily many boundary components. We develop a skein valued cluster theory to compute these wavefunctions. In some simple cases, our computation matches up with the topological vertex. Along the way we define a skein dilogarithm and prove a pentagon relation, which will imply the 5-term relation of Garsia and Mellit, originally formulated in terms of Macdonald polynomials.