Starts 27 May 2015 16:30
Ends 27 May 2015 17:30
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Derived symplectic structures in Donaldson-Thomas theory and categorification
ICTP
Leonardo Building - Lecture Room D
Abstract:
We will speak about Donaldson-Thomas theory as a motivating example to introduce the theory of derived symplectic structures by Pantev, Toen, Vaquie and Vezzosi and the theory of derived critical loci by Joyce. We will then use these theories to prove a Darboux theorem for symplectic derived schemes and to construct on them perverse sheaves which are central in the problem of categorification.
This is a joint work with Ben-Bassat, Brav, Dupont, Joyce, Meinhardt and Szendroi.
We will speak about Donaldson-Thomas theory as a motivating example to introduce the theory of derived symplectic structures by Pantev, Toen, Vaquie and Vezzosi and the theory of derived critical loci by Joyce. We will then use these theories to prove a Darboux theorem for symplectic derived schemes and to construct on them perverse sheaves which are central in the problem of categorification.
This is a joint work with Ben-Bassat, Brav, Dupont, Joyce, Meinhardt and Szendroi.