Logarithmic regularization

03.03.2026 13:15 - 14:45

Clément Dupont (U Montpellier)

Among all divergent integrals, those that behave like dx/x near x=0 (“logarithmically divergent”) are the simplest and play a central role in algebraic and arithmetic geometry. In this talk I will explain how to interpret the art (“logarithmic regularization”) of assigning a finite value to these integrals in a cohomological way, by generalizing the classical theory of integration. I will mention motivations and applications related to topology, mathematical physics, and arithmetic geometry. This is joint work with Erik Panzer and Brent Pym.

Organiser:

H. Grobner, A. Mellit, A. Minguez, B. Szendroi

Location:

BZ 9, 9. OG, OMP1