Kontsevich, Maxim (2022) Blow-up formula for quantum cohomology. In: Algebra, Geometry and Physics: a mathematical mosaic, 8-10 Mar 2022, Virtual.
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Abstract
Yu. I. Manin greatly contributed to several areas of algebraic geometry, in particular to questions of rationality, and to quantum cohomology.
I will speak about an application of the latter to the former: the very general cubic fourfold is not rational. The main ingredient is a blow up formula for genus 0 Gromov-Witten invariants (the proof is expected soon). Another output is a definition of
"correct" cohomology and GW invariants for singular varieties.
| Item Type: | Conference or Workshop Item (Lecture) |
|---|---|
| Divisions: | Research > Talks |
| Depositing User: | Axel Roenn |
| Date Deposited: | 22 Mar 2022 12:05 |
| Last Modified: | 22 Mar 2022 12:16 |
| URI: | https://archive.mpim-bonn.mpg.de/id/eprint/4708 |
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