## 16/09/2022, Friday, 16:00–17:00 Europe/Lisbon Room P3.10, Mathematics Building — Online

Alexander Givental, University of Berkeley
K-theoretic Gromov-Witten invariants and their adelic characterization

Gromov-Witten invariants of a given Kahler target space are defined as suitable intersection numbers in moduli spaces of stable maps of complex curves into the target space. Their K-theoretic analogues are defined as holomorphic Euler characteristics of suitable vector bundles over these moduli spaces.

We will describe how the Kawasaki-Riemann-Roch theorem expressing holomorphic Euler characteristics in cohomological terms leads to the adelic formulas for generating functions encoding K-theoretic Gromov-Witten invariants.