(University of Luxembourg)
Abstract: Mid 90's, Broadhurst and Kreimer observed that multiple zeta values persist to appear in Feynman integral computations. Following this observation, Kontsevich proposed a conceptual explanation, that is, the loci of divergence in these integrals must be mixed Tate motives. In 2000, Belkale and Brosnan disproved this conjecture. In this talk, I will describe a way to correct Kontsevich's proposal and show that the regularized Feynman integrals in position space setting as well as their ambiguities are given in terms of periods of suitable configuration spaces, which are mixed Tate. Therefore, the integrals that are of our interest are indeed Q[1/2πi]-linear combinations of multiple zeta values. This talk is based on a joint work with M. Marcolli.
Date: 05 April 2013, Friday
Place: Bilkent, Mathematics Seminar Room SA-141
Tea and cookies will be served before the talk.
You are most cordially invited.