Grothendieck-Teichmueller group in geometry and quantization
|What||Mathematisches Kolloquium Berufungsvortrag (Globale Analysis/Differentialgeometrie)|
from 13:45 to 14:30
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Prof. Dr. Sergei Merkulov (Stockholm University, Schweden)
Abstract. Using a new compactification of the (braid) configuration space of $n$ points in the upper half plane we construct explicitly a universal homotopy action of the Grothendieck-Teichmueller group on the set Poisson structures in an arbitrary affine space. It is also shown that, for any affine supermanifold $M$ equipped with a constant odd symplectic structure, there is a universal homotopy action of the Grothendieck-Teichmueller group on the set of quantum BV structures on $M$.