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Refinements in Donaldson-Thomas theory

Andrea Ricolfi
Institution: 
SISSA
Location: 
A-134
Schedule: 
Tuesday, October 29, 2019 - 16:00
Abstract: 

Donaldson-Thomas invariants are integers (virtually) counting sheaves on complex 3-folds. The local structure of the moduli space of sheaves on a Calabi-Yau 3-fold leaves room for various refinements of these integer counts. After introducing some of them, we will give an example (joint work with B. Davison) of a motivic refinement in DT theory: a motivic lift of the DT/PT correspondence, proved in the unrefined case by Bridgeland and Toda.

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