| Speaker: | Xiaohan Yan (Toulouse Mathematics Institute) |
|---|---|
| Title: | K-Theoretic Gromov-Witten Invariants and q-Difference Equations |
| Date (JST): | Tue, Apr 21, 2026, 13:30 - 15:00 |
| Place: | Seminar Room A |
| Abstract: |
The Gromov-Witten theory gives deformation invariants of a complex variety by counting curves. The generating function of these invariants satisfies naturally some differential equations which relate to the Dubrovin conjecture and the 2D mirror symmetry. In this talk, I discuss a K-theoretic version, where the invariants are still defined by counting curves but the generating functions satisfy naturally q-difference equations instead. I discuss my work on the generating function of the K-theoretic Gromov-Witten invariants of type-A flag varieties. Its q-difference equations naturally arise in the K-theoretic Dubrovin conjecture and the 3D mirror symmetry. My method involves the idea of abelian/non-abelian correspondence. |
