##### Department of Mathematics,

University of California San Diego

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### Math 208 - Algebraic Geometry Seminar

## Yassine El Maazouz

#### UC Berkeley

## Sampling from p-adic varieties

##### Abstract:

We give a method for sampling points from an affine algebraic variety over a local field with a prescribed probability distribution. In the spirit of the previous work by Breiding and Marigliano on real algebraic manifolds, our method is based on slicing the given variety with random linear spaces of complementary dimension. We also provide an implementation of our sampling method and discuss a few applications, in particular we sample from algebraic p-adic matrix groups and modular curves.

Host: Kiran Kedlaya

### May 20, 2022

### 4:00 PM

Pre-talk at 3:30 PM

Contact Samir Canning at srcannin@ucsd.edu

for zoom access

Research Areas

Algebraic Geometry****************************