| Speaker: | Tatsuyuki Hikita (Kyoto U) |
|---|---|
| Title: | Non-toric examples of elliptic canonical bases |
| Date (JST): | Thu, Nov 11, 2021, 13:30 - 15:00 |
| Place: | Zoom |
| Related File: | 2732.pdf |
| Abstract: | In our previous work (arXiv:2003.03573), we defined canonical bases in equivariant K-theory of nice conical symplectic resolutions generalizing Lusztig's canonical bases in equivariant K-theory of Springer resolutions. We also observed that in the toric cases, there exist nice elliptic lifts of K-theoretic canonical bases satisfying certain relation under symplectic duality which is similar to certain duality of lattice vertex operator superalgebras. In this talk, I will explain several expected properties of elliptic canonical bases in some generality and show the existence of such objects in a simple non-toric example. I will also explain some possible relations to vertex operator superalgebras in this case. |
