Some moduli spaces for curves of genus 1 and 2

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• Sam Frengley, University of Cambridge
• Friday 04 November 2022, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Macarena Arenas.

This talk will focus on the geometry of the surfaces which parametrise “congruences” of elliptic curves, following Kani and Schanz. I will discuss how this is related to the study of curves of genus 2 which admit a morphism to an elliptic curve, and mention the connection to number theory and Galois representations. If time permits I will sketch how we can compute explicit models for these surfaces (over Q).

This talk is part of the Junior Geometry Seminar series.

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