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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Feynman graphs, Periods and Polylogarithms: Sector decomposition and Hironaka's polyhedra game

Presented by Christian Bogner, Mainz and Durham University

12 December 2007 10:30 in Derman Christophersen Room in CLC

Sector decomposition is a method to compute numerically the Laurent expansion of divergent multi-loop Feynman integrals. In this talk we point out, that solutions for Hironaka's polyhedra game, encoding the combinatorics of resolutions of singularities by a blow-up sequence, can be applied to this method. We present a systematic algorithm for sector decomposition (by Binoth and Heinrich) and indicate, how solutions for Hironaka's game are used to guarantee for the termination of this algorithm.

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