Abstract: We'll start with defining the normal bundle of a smooth variety (or manifold) M and motivate the Thom isomorphism from differential geometry. This will lead us to the definition of a virtual fundamental class [M] and we'll discuss its relations to the Chow ring A*(M). After a concrete computation in a specific case, we?ll get an outlook on applications to moduli problems in sheaf theory, if time permits.
[References:
* Behrend, Fantechi: The Intrinsic Normal Cone
* Batistella: Virtual Cycles for the Working Mathematician
* Bott, Tu: Differential Forms in Algebraic Topology
* Tanaka, Thomas: Vafa-Witten Invariants on projective surfaces I].
Il seminario avrà luogo in presenza presso il Dipartimento di Matematica e Fisica,
Lungotevere Dante 376 - Aula M1
Via Teams al seguente Link identifier #identifier__100179-1Link
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