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Speaker:

Maxim Kontsevich
Affiliation:

IHES
Date:

Thu, 10/03/2022 - 15:00 - 16:00
Parent event:

Algebra, Geometry and Physics: a mathematical mosaic
Parent event:

MPI-Oberseminar 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.

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