Shifted symplectic structures have been introduces by Pantev-Toën-Vaquié-Vezzosi in 2011. They allow to unify various constructions of symplectic structures appearing in mathematical physics and algebraic geometry. I will present the main results from Pantev-Toën-Vaquié-Vezzosi and, if type permits, I will report on recent developments in the field, such as:
- the construction of fully extended TFTs of AKSZ type.
- the recent definition of shifted Poisson structures.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/HS2015