Workshop
Integral geometry in nonarchimedean spaces
- Peter Bürgisser (Technische Universität Berlin, Berlin, Germany)
Abstract
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.
