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University of Cambridge > Talks.cam > Number Theory Seminar > The geometry of the Humbert surface of discriminant N^2

## The geometry of the Humbert surface of discriminant N^2Add to your list(s) Download to your calendar using vCal - Sam Frengley (University of Cambridge)
- Tuesday 17 October 2023, 14:30-15:30
- MR13.
If you have a question about this talk, please contact Jef Laga. Building on work of Hermann, I will give a rough
classification of the Enriques—Kodaira type of the (generalised)
Humbert surface of discriminant N I will describe the relation between these surfaces and the ‘Hilbert modular surface of discriminant N^2’ (also known as a ‘Modular diagonal quotient surface’) and will give a moduli interpretation in terms of (unordered) pairs of elliptic curves whose mod N Galois representations become isomorphic over a quadratic extension (in analogy to Fricke quotients of modular curves). This talk is part of the Number Theory Seminar series. ## This talk is included in these lists:- All CMS events
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