### Uniform potential density for rational points on algebraic groups and elliptic K3 surfaces

Heilbronn Number Theory Seminar

2nd February 2022, 4:00 pm – 5:00 pm

Online, Zoom

A variety satisfies potential density if it contains a dense subset of rational points after extending its ground field by a finite degree. A collection of varieties satisfies uniform potential density if that degree can be uniformly bounded. I will discuss this property for connected algebraic groups of a fixed dimension and elliptic K3 surfaces. This is joint work with Kuan-Wen Lai.

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