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Arithmetic topology of the moduli stack of Weierstraß fibrations over global function fields

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Jun-Yong Park
Die, 19/04/2022 - 13:45 - 15:30

Contact: Gaetan Borot (HU Berlin)

We will first consider the formulation of the moduli of fibered algebraic surfaces as the Hom space of algebraic curves on moduli stacks of curves. Cohomology with weights on these moduli naturally allows us to enumerate elliptic & hyperelliptic curves over global function fields ordered by bounded discriminant height. In the end, we formulate analogous heuristics for parallel countings over number fields through the global fields analogy. This is a joint work with Oishee Banerjee (Bonn) and Johannes Schmitt (Zürich).




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