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SUMMARY:Samir Canning (UC San Diego)
DTSTART:20210416T190000Z
DTEND:20210416T200000Z
DTSTAMP:20260407T214530Z
UID:agstanford/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/4
 7/">The Chow rings of $M_7$\, $M_8$\, and $M_9$</a>\nby Samir Canning (UC 
 San Diego) as part of Stanford algebraic geometry seminar\n\n\nAbstract\nT
 he rational Chow ring of the moduli space of smooth curves is known when t
 he genus is at most $6$ by work of Mumford ($g=2$)\, Faber ($g=3$\, $4$)\,
  Izadi ($g=5$)\, and Penev-Vakil ($g=6$). In each case\, it is generated b
 y the tautological classes. On the other hand\, van Zelm has shown that th
 e bielliptic locus is not tautological when $g=12$. In recent joint work w
 ith Hannah Larson\, we show that the Chow rings of $M_7$\, $M_8$\, and $M_
 9$ are generated by tautological classes\, which determines the Chow ring 
 by work of Faber. I will explain an overview of the proof with an emphasis
  on the special geometry of curves of low genus and low gonality.\n\nThe s
 ynchronous discussion for Sam Canning’s talk is taking place not in zoom
 -chat\, but at https://tinyurl.com/2021-04-16-sc (and will be deleted afte
 r ~3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/47/
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