Integral geometry in nonarchimedean spaces

  • Peter Bürgisser (Technische Universität Berlin, Berlin, Germany)
E1 05 (Leibniz-Saal)


In a recent paper, Kulkarni and Lerario found a version of Poincare's formula of integral geometry for p-adic projective varieties. (SIAM J. Appl. Alg. Geo, 2021). We extend this result in various directions by developing a conceptual framework over nonarchimedan local fields that mirrors the approach over the reals quite closely. As an application, we obtain precise results on the expected number of p-adic zeros of random fewnomials.

The talk describes ongoing work with Kulkarni and Lerario.

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Enis Kaya

University of Groningen

Avinash Kulkarni

Dartmouth College

Antonio Lerario


Mima Stanojkovski

RWTH Aachen and Max Planck Institute for Mathematics in the Sciences