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 University）

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).

Spring 2026

Febuary 6: Josh Wang (Princeton University)

 Febuary 27: Shunyu Wan (Georgia Tech)