Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Maxim Kontsevich
Affiliation:

IHES
Date:

Thu, 10/03/2022 - 15:00 - 16:00 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/11182

[3] http://www.mpim-bonn.mpg.de/node/158