Renormalization of conical zeta values and Euler-Maclaurin Formula

speaker: Li Guo (Rutgers University at Newark)

abstract: The concepts of lattice cones and polar meromorphic germs are introduced to study regularized conical zeta values. The Algebraic Birkhoff Factorization of Connes and Kreimer adapted and generalized to this context then gives rise to a convolution factorization of exponential sums on lattice points in lattice cones. We show that this factorization coincides with the classical Euler-Maclaurin formula generalized to convex rational polyhedral cones by Berline and Vergne. This is joint work with Sylvie Paycha and Bin Zhang.

timetable:
Fri 22 May, 14:00 - 15:00, Aula Dini
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