Masterclass on shifted symplectic geometry part 1
Pavel Safronov
Abstract: 1) Shifted symplectic structures: stacks, cotangent complex, differential forms, shifted symplectic/Lagrangian structures, Lagrangian intersections, mapping spaces
2) Examples: (quasi-)symplectic groupoids, (quasi-)symplectic Lie algebroids, Courant algebroids, examples coming from groups
3) Shifted Poisson structures: definitions, coisotropic structures, relation to shifted symplectic structures, (quasi-)Lie bialgebras, symplectic realizations
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