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SUMMARY:Samir Canning (UC San Diego)
DTSTART;VALUE=DATE-TIME:20210416T190000Z
DTEND;VALUE=DATE-TIME:20210416T200000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081417Z
UID:agstanford/47
DESCRIPTION:Title: The Chow rings of $M_7$\, $M_8$\, and $M_9$\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 Canningâ€™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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