Gromov-Witten theory with derived algebraic geometry

Appears in collection : 2023 - T2 - WS2 - Higher structures in enumerative geometry

Using ideas from Toën-Schuerg-Vezzosi, one can define GW invariants via derived algebraic geometry. In this talk, we will see how some classical statements like Splitting axiom can be seen at the geometric level. An other nice application is to see a derived version of Quantum Lefchetz principle due to David Kern. Part of this work was done with Marco Robalo.