|Speaker:||Yuuji Tanaka (Kyoto University)|
|Title:||On a blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces|
|Date (JST):||Thu, Dec 01, 2022, 13:30 - 15:00|
I'll talk about a blowup formula for sheaf theoretic virtual enumerative invariants on projective surfaces, which include the Donaldson-Mochizuki invariant (a virtual analogue of the Donaldson invariant), the virtual Euler characteristic or virtual chi_y genus of the moduli space of semistable sheaves on a project surface (they are the instanton parts of the ordinary or K-theoretic Vafa-Witten invariant, respectively), and the virtual Verlinde number and virtual Segre one of the moduli space (the former is a generalisation of the K-theoretic Donaldson invariant and the latter is a generalisation of the Donaldson invariant in the sense adding fundamental matters).
This talk is based on joint work arXiv:2107.08155 with Nikolas Kuhn and arXiv:2205.12953 with Nikolas Kuhn and Oliver Leigh.