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| FIELD | Math:Geometry |
|---|---|
| DATE | March 04 (Thu), 2021 |
| TIME | 16:00-17:00 |
| PLACE | Online |
| SPEAKER | Kern, David |
| HOST | Bhamidi, S.S Sreedhar |
| INSTITUTE | Universit? d'Angers |
| TITLE | Categorification of the quantum Lefschetz principle |
| ABSTRACT | The quantum Lefschetz principle allows one to know the Gromov-Witten invariants of the zero locus of a section of a vector bundle from those of the ambient space. More generally, it expresses a relation between the virtual fundamental classes of the moduli stacks of stable maps to these schemes, algebraic cycles obtained from a construction which can appear somewhat mysterious. In this talk, I will explain how, through derived geometry, one can interpret this result as a purely geometric phenomenon, and deduce a categorification of the formula for virtual classes. |
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