# Derived intersection theory

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Khan Adeel

created by tortorella on 08 Jan 2018

30 jan 2018
-- 11:00

Aula Tricerri, DiMaI "Dini", Firenze

**Abstract.**

Let X be a smooth projective complex variety. One way to define the intersection product in the Chow ring CH^{*}(X) is to use Chow’s moving lemma, which involves deforming a subvariety up to rational equivalence. I will discuss another approach using the theory of virtual fundamental classes, which allows a more transparent construction that avoids moving.