MS Seminar (Mathematics - String Theory)

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.