Mon, 15 Jan 2024
16:00
L2

A friendly introduction to Shimura curves

Håvard Damm-Johnsen
(University of Oxford)
Abstract

Modular curves play a key role in the Langlands programme, being the simplest example of so-called Shimura varieties.  Their less famous cousins, Shimura curves, are also very interesting, and very concrete. 
In this talk I will give a gentle introduction to the arithmetic of Shimura curves, with lots of explicit examples. Time permitting, I will say something about recent work about intersection numbers of geodesics on Shimura curves.

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