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The p-adic integral geometry formula

Avinash Kulkarni
Institution: 
Max Planck Institute for Mathematics in the Sciences (Leipzig, Germany)
Location: 
A-136
Schedule: 
Tuesday, October 8, 2019 - 16:00
Abstract: 

The integral geometry formula relates the volume of a real projective hypersurface to the expected number of real intersections with a random line. By random, we mean with respect to a probability measure invariant under the action of the rotation group SO(n+1) on real projective n-space. In this talk, I will discuss the p-adic analogue of this formula. Joint work with Antonio Lerario.

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