Deformation Theory for generalized Coisotropic Reduction
Vortrag von Dr. Marvin Dippel
Sprecher eingeladen von: Prof. Dr. Alberto Cattaneo
Datum: 14.04.25 Zeit: 13.30 - 14.30 Raum: Y27H25
Reduction of Poisson manifolds by coisotropic submanifolds formalizes symmetry reduction of classical mechanical systems, and therefore plays an important role in Poisson geometry. Constraint algebras encode the additional structure on the algebra of functions needed for reduction and their deformations yield (formal) star products compatible with reduction. I will discuss the deformation theory of these constraint algebras and present some results about an adapted Hochschild-Kostant-Rosenberg Theorem computing the cohomology controlling this deformation theory.