Resurgence, Physics and Numbers

Multiple zeta values and regularised multiple Eisenstein series

speaker: Henrik Bachmann (University Hamburg)

abstract: 2 di circa 57 convegno di Maggio Posta in arrivo x Frederic Fauvet Allegati16 apr (5 giorni fa) a Antonella, crm, David, manchon Traduci messaggio Disattiva per: inglese Cara Signora Antonella Gregorace,

Le mando un elenco degli abstracts per il convegno di Maggio. Prof Ramis's abstract e nel pdf giunto. Confirmo che il hotel Bologna sara perfetto per Prof Ramis, lei puo confirmare la riservazione, per favore, dal 16 al 23, per una camera matrimoniale?

Prof Bellon mi ha mandato il suo titolo : ``Alien calculus in the study of exactly renormalizable quantum field theories''

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Title: Multiple zeta values and regularised multiple Eisenstein series

Speaker: Henrik Bachmann (Hamburg U.)

Abstract: Multiple zeta values (MZV) can be seen as a multiple version of the Riemann zeta values appearing in different areas of mathematics and theoretical physics. The product of these real numbers can be expressed in two different ways, the so called stuffle and shuffle product, which yields a large family of linear relations. MZV have several connections to modular forms for the full modular group where one of them is given by multiple Eisenstein series (MES) which can be seen as a multiple version of the classical Eisenstein series. MES are holomorphic functions in the upper half-plane with a Fourier expansion whose constant term is given by the corresponding MZV. By definition the multiple Eisenstein series functions also fulfill the stuffle product. In the talk I want to explain a recent result on two different regularisation of these series. We discuss the dimorphic structure of these regularised MES which is very close but, because of the existence of cusp forms for the modular group, different to that of MZV.

timetable:
Thu 21 May, 16:30 - 17:30, Aula Dini
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