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SUMMARY:Tautological projection for cycles  on the moduli space of abelian
  varieties - Dragos Oprea (University of California\, San Diego)
DTSTART:20240617T103000Z
DTEND:20240617T113000Z
UID:TALK217720@talks.cam.ac.uk
DESCRIPTION:The&nbsp\;tautological ring of the moduli space of principally
  polarized abelian varieties was introduced and computed by van der Geer i
 n the 1990s. I will show that every cycle class on the moduli space of pri
 ncipally polarized abelian varieties can be decomposed canonically into a 
 tautological and a non-tautological part. Furthermore\, I will explain tha
 t the tautological components of cycles parametrizing product abelian vari
 eties can be expressed in terms of Schur determinants. This is based on jo
 int work with Samir Canning\, Sam Molcho and Rahul Pandharipande.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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