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Claremont Topology Seminar: Song Yu (Caltech)
January 30 @ 3:00 pm - 4:00 pm
We welcome all undergraduates and graduate students to attend topology seminar!
Speaker: Song Yu (California Institute of Technology and Tsinghua Yau Mathematical Sciences Center) also a Pomona alum!
Title: Knot invariants, Gromov-Witten invariants, and integrality conjectures
Abstract: In this talk, we will take a peek at large N duality which is a deep correspondence between invariants of knots in 3-manifolds and enumerative geometry in symplectic 6-manifolds discovered in physics in the 1980-90s. On the numerical level, the correspondence relates Chern-Simons knot invariants to open Gromov-Witten invariants which are counts of bordered Riemann surfaces with Lagrangian boundary conditions, and has led to predictions on the integrality structures of both invariants. We will discuss recent progress on the enumerative geometry side and connections to known integrality properties in Gromov-Witten theory.
