Notes and Slides

Slides

AMS Invited Address at George Washington University, Washington, DC, October 4, 2026

Link homology and categorification, Simons Center for Geometry and Physics, Stony Brook, NY, November 7, 2023

Link homology and categorification, The first International Congress of Basic Science (BIMSA), Beijing, China, July 18, 2023

Notes

Introduction to Categorification (notes by You Qi)

1. Introduction

2. Topological Quantum Field Theories

3. Categorification of the Jones polynomial

4. Grothendieck groups

5. Extending link homology to tangles

6. Milnors conjecture

7. Biadjoint functors

8. sl(3) link homology

9. Morita theory

10. Hochschild homology and applications to link homology I

11. Hochschild homology and applications to link homology II

12. Categorification of the Heisenberg algebra

13. Hopf algebras