Generalization of Bernoulli numbers and polynomials to the multiple case

speaker: Olivier Bouillot (Université Marne la Vallée)

abstract: The main goal of the talk is to generalize the Bernoulli numbers and polynomials to the multiple case. For this purpose, we will use the link between the classical Bernoulli numbers and polynomials and the analytic continuation of the Riemann and Hurwitz Zeta functions at negative integers and the multiple generalization of these two last functions: the multiple zeta values and the Hurwitz multiple zeta functions.

All the construction is based on Ecalle's mould calculus. Therefore, as a secondary goal, we will also give a review of the mould notations as well as give a Hopf algebra interpretation of the moulds' secondary symmetries. "

timetable:
Thu 21 May, 18:00 - 19:00, Aula Dini
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