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Constructing extended AKSZ topological field theories in derived symplectic geometry

Presented by: 
Claudia Scheimbauer
Tuesday 27th November 2018 - 14:00 to 15:00
INI Seminar Room 2
Derived algebraic geometry and derived symplectic geometry in the sense of Pantev-Toen-Vaquié-Vezzosi allows for a reinterpretation/analog of the classical AKSZ construction for certain $\sigma$-models. It is given by taking mapping stacks with a fixed target building and describes ``semi-classical TFTs". Using the formalism of derived algebraic geometry as a blackbox, I will sketch how this construction yields extended TFTs, which involves harnessing many higher homotopies. This is joint work in progress with Damien Calaque and Rune Haugseng.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons