Oberseminar Algebra und Geometrie: Thomas Goller: Cobordism formulas for finite Quot schemes
Wednesday, 25.04.2018 16:15 im Raum SR1C
I want to explain a connection between two topics in algebraic geometry:
(a) Moduli problems: parametrizing quotients of a vector bundle (Quot scheme).
(b) Structures in enumerative geometry: topological quantum field theory (TQFT); algebraic cobordism (of complex manifolds equipped with a vector bundle).
The connection is that the Quot schemes that are finite fit into interesting enumerative structures. In particular:
(1) On algebraic curves, the points of these Quot schemes are counted by formulas coming from a TQFT.
(2) On algebraic surfaces, these points are conjecturally counted by formulas coming from algebraic cobordism.
These finite Quo
Angelegt am 12.04.2018 von Heike Harenbrock
Geändert am 12.04.2018 von Heike Harenbrock
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