CORDIS Project
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This project explores new developments in shifted symplectic and Poisson structures using derived algebraic geometry. It aims to provide foundational insights and applications in mathematical physics, including the construction of topological field theories.
We propose a program that aims at providing new developments and new applications of shifted symplectic and Poisson structures.
It is formulated in the language and framework of derived algebraic geometry after Toën–Vezzosi and Lurie.
On the foundational side, we will introduce the new notion of shifted symplectic groupoids and prove that they provide an alternative approach to shifted Poisson structures (as they were defined by the PI together with Tony Pantev, Bertrand Toën, Michel Vaquié and…
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