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Rahul Pandharipande: Cycles on the moduli space A_g of abelian varieties

Time: Wed 2023-05-17 13.15 - 14.15

Location: KTH, 3418

Participating: Rahul Pandharipande, ETH Zurich

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I will present a series of new conjectures concerning Noether–Lefschetz loci and the tautological ring of the moduli space Ag of principally polarized abelian varieties. The main new tool used to study these cycles is pull-back via Torelli to the moduli space of curves of compact type. The ideas interweave questions about tautological classes on Ag with Pixton's conjectures on the moduli of genus g curves of compact type.

Joint work with S. Canning and D. Oprea.

Belongs to: Stockholm Mathematics Centre
Last changed: May 12, 2023