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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 Université 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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