3–13 Jun 2024
Department of Mathematics, University of Pisa
Europe/Rome timezone

Euler's constant and exponential motives

3 Jun 2024, 14:30
1h
Department of Mathematics, University of Pisa

Department of Mathematics, University of Pisa

Speaker

Javier Fresán (Ecole Polytechnique)

Description

In the category of exponential motives over $\mathbb{Q}$ there is a new extension of $\mathbb{Q}(-1)$ by $\mathbb{Q}(0)$ which does not come from classical motives. Its period matrix features Euler's constant, which one is tempted to think of as the regularised value of Riemann's zeta function at 1. I will discuss several results and open questions revolving around this extension, for example the role it plays as a "monodromy factor" for differential equations of E-functions. The talk is based on joint work with Peter Jossen.

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