Multiple Zeta Values in Deformation Quantization
Erik Panzer (Oxford)
Title :Multiple Zeta Values in Deformation Quantization
Abstract: 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 interesting transcendental numbers that appear in several other contexts. I will motivate and define deformation quantization, illustrate Kontsevich's formula and explain our result and discuss some ideas of the proof.
Recording taken from the Arithmetic Geometry and Quantum Field Theory seminar, organised by Jeff Harvey and Minhyong Kim