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SUMMARY:The Chow Ring of the Moduli Stack of Hyperelliptic Prym Pairs - Al
 berto landi\, Brown University
DTSTART:20250328T141500Z
DTEND:20250328T151500Z
UID:TALK229675@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:The study of intersection theory on moduli spaces and stacks h
 as a rich history\, beginning with Mumford’s seminal 1983 paper\, where 
 he introduced the Chow ring with rational coefficients for the moduli spac
 e of smooth pointed curves of a given genus and its Deligne–Mumford comp
 actification. This framework was later extended by Vistoli to Deligne–Mu
 mford stacks\, by Edidin and Graham to quotient stacks\, and more generall
 y by Kresch to both integral and rational coefficients. Since then\, exten
 sive research has been devoted to computing the intersection theory of var
 ious moduli stacks.\n\nIn this talk\, we will focus on the integral versio
 n of Chow rings\, which is generally less well understood. I will first re
 view some known results in this direction. I will then outline the computa
 tion of the integral Chow ring of the moduli stack of hyperelliptic Prym c
 urves\, which are étale double covers of hyperelliptic curves—a result 
 that Alessio Cela and I recently obtained. In the case of genus two\, our 
 results recover a previous computation by Cela and Lopez.
LOCATION:CMS MR13
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