### Higher heights and rational points on curves

Heilbronn Number Theory Seminar

4th March 2020, 4:00 pm – 5:00 pm

Fry Building, 2.04

Motivated by an analogous real-valued construction due to Scholl, Nekovář constructed p-adic height functions on certain spaces of Galois representations. In this talk, I will discuss a generalisation of his construction to a larger space of Galois representations, and give some Diophantine applications. This is joint work with Carl Wang-Erickson.

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