## Geometry Seminar - Abstracts

### Talk

Tuesday 19 September 2023, 16:00 - 17:00 in HG03.085

**Daniel Loughran** (Bath)

*Lifting abelian varieties to the rational numbers*

### Abstract

It is elementary to see that any elliptic curve over Z/pZ lifts
to one defined over Q; one simply takes a lift of the coefficients to Z. In
this talk I will discuss the more interesting case of abelian varieties of
higher dimension. This is joint work with Gregory Sankaran.

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