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Tautological projection for cycles on the moduli space of abelian varieties

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EMGW05 - Moduli stacks and enumerative geometry

The tautological ring of the moduli space of principally polarized abelian varieties was introduced and computed by van der Geer in the 1990s. I will show that every cycle class on the moduli space of principally polarized abelian varieties can be decomposed canonically into a tautological and a non-tautological part. Furthermore, I will explain that the tautological components of cycles parametrizing product abelian varieties can be expressed in terms of Schur determinants. This is based on joint work with Samir Canning, Sam Molcho and Rahul Pandharipande. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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