Friday, March 19th at 10:30, Sergej Monavari (University of Utrecht)

Higher rank K-theoretic Donaldson-Thomas invariants of points

A classical way to produce (numerical) invariants is through intersection theory, usually on a smooth projective variety. We give a gentle introduction on how to use torus actions to refine invariants in several directions, for example K-theoretic and virtual invariants. As a concrete example, we explain how to extract meaningful invariants from the Quot schemes of quasi-projective smooth toric threefolds and how to refine them. We present and prove various closed formulas for different flavours of higher rank Donaldson-Thomas invariants of points, solving a series of conjectures proposed in String Theory. This is based on joint work with N. Fasola and A. Ricolfi.

The seminar will take place online. Click here for the Zoom link.