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2024-12-04
When migrating the server, I forgot to backup the yiye website, lost a lot of memories, sad. I also dumped a lot of my phd notes to dumpster anyway when I move away from Chicago, it is inevitable to let go.
If I consider coherent sheaf category as the category of B-branes, then how does it depends on the complexified Kahler parameters? One can either do it in the physical way, reading Witten, Hori etc; or one can do it in the math way, thinking about deformation of the Coh category by gerbes.
2024-09-12
reading the classic papers, Khovanov-Lauda, Rouquier, Varagnolo-Vasserot, to dig out how to setup the convolution algebra (in general)
I don't even understand why these things can be realized using Fukaya category and Floer theory, besides 'physics motivation'. What's the math motivation?
Question 1: where does convolution algebra come from? Like Hecke algebra? What is the physical setup? you can say, some correspondence and push-pull.
2024-09-11 quiver hecke algebra
After so many years, let me read up on the 'convolution algebra' presentation for quiver hecke algebra, because after all, hecke algebra originates from convolution on flag variety, and quiver hecke algebra is a generalization.
2024-08-24 B-side for knots
Mina has the whole categorifications on A-side and B-side, whereas Cautis-Kamnitzer also had some earlier B-side construction. I need to understand the relations.
2024-07-23
- Goal: understand Yetter-Drinfeld module, Drinfeld double and then Andy Manion's comment paper
2024-07-21
reading Etingof on quantum group