Number Theory Seminar - Alvaro Gonzalez Hernandez
| Dates: | 1 April 2025 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Alvaro Gonzalez Hernandez (Warwick)
Title: Intersections of the automorphism and p-rank strata in the moduli space of genus two curves
Abstract: There are two key invariants of an abelian variety over a field of positive characteristic: its automorphism group and its p-rank. In this talk, I will explain what these two invariants are and discuss how they are related in the case of Jacobians of curves of genus two. In order to do this, I will show how to construct equations for the coarse moduli space of genus two curves, and how to compute both the strata of curves with a fixed automorphism and the strata of curves with a fixed p-rank. Finally, I will briefly discuss how learning about the intersections of these strata can help us understand some interesting examples of K3 surfaces in positive characteristic
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester
