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A line in the plane and the Grothendieck-Teichmueller group

Presented by: 
S Merkulov Stockholm University
Thursday 10th January 2013 - 15:30 to 16:30
INI Seminar Room 2
The Grothendieck-Teichmueller group (GT) appears in many different parts of mathematics: in the theory of moduli spaces of algebraic curves, in number theory, in the theory of motives, in the theory of deformation quantization etc. Using recent breakthrough theorems by Thomas Willwacher, we argue that GT controls the deformation theory of a line in the complex plane when one understands these geometric structures via their associated operads of (compactified) configuration spaces. Applications to Poisson geometry, deformation quantization, and Batalin-Vilkovisky formalism are discussed.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons