Séminaire Physique mathématique ICJ

Multiple zeta values in deformation quantization

by Dr Erik Panzer

Zoom (Institut Camille Jordan)


Institut Camille Jordan

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In 1997, Kontsevich constructed a universal quantization of
every Poisson manifold as a formal power series. Its coefficients are given as integrals over moduli spaces of marked holomorphic discs. In joint work with Peter Banks and Brent Pym, we show that these integrals always evaluate to multiple zeta values, which are very well studied transcendental numbers. I will give an introduction to deformation quantization, explain Kontsevich's formula and our result and discuss the main ideas of the proof.

Organized by

Nguyen-Viet Dang