Harvard Gauge Theory and Topology Seminar
Harvard Gauge Theory and Topology Seminar
The seminar meets Fridays 3:30-4:30 pm in Science Center 507. The organizers are Peter Kronheimer, Gage Martin, Dylan Galt, William Ballinger, and Clair Xinle Dai. If you'd like to get future announcements, you could send email to xdai@math.harvard.edu.
For those without Harvard IDs, the 5th floor of the Science Center can be accessed by elevator during 3:00-6:00 pm.
Fall 2025
October 24: Yingying Wu (University of Houston）
Title: Singularity models for Z/2 harmonic 1-forms and spinors
Abstract: We introduce local models for a Z/2 harmonic 1-form or spinor on R^{3} and R^{4} near a singular point in their zero loci based on symmetry considerations. The local models are homogeneous with respect to rescaling, with their zero loci given by rays from the origin in R^{3} and cones on the 1‑skeleton of regular 4‑polytopes invariant under subgroups of SO(4).
November 14: Elise LePage (Columbia）
Title: Aganagic’s invariant is Khovanov homology
Abstract: Recently, Aganagic proposed a categorification of quantum link invariants (corresponding to U_q(g) where g is an ADE Lie algebra) using Lagrangian Floer theory in multiplicative Coulomb branches equipped with a potential. Her original proposal was based on insights from string theory, but the resulting definition of categorified link invariants can be made mathematically rigorous. In this talk, I will review her proposal for link invariants and explain my recent proof (joint with Vivek Shende) that Aganagic’s invariant recovers Khovanov homology in the case g=sl(2).
November 21: Isabella Khan (MIT）
Title: Bordered algebras and the wrapped Fukaya category
Abstract: This talk will discuss an isomorphism between endomorphism algebras from the wrapped Fukaya category of a type of punctured surface, and a class of A-infinity algebras related to bordered knot Floer homology. After a brief outline of the constructions and algebraic methods used in the proof, this talk will focus on the model calculations with Fukaya categories that both motivate and help to verify this result.
December 5: Thibault Decoppet (Harvard)
Spring 2026
Febuary 6: Josh Wang (Princeton)
Febuary 27: Shunyu Wan (Georgia Tech)
April 3: Ciprian Malonescu (Stanford)
April 3: Michael Hutchings (Berkeley)
April 17: Spiro Karigiannis (Waterloo)