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SUMMARY:Siddarth Kannan (Brown University)
DTSTART;VALUE=DATE-TIME:20220401T190000Z
DTEND;VALUE=DATE-TIME:20220401T200000Z
DTSTAMP;VALUE=DATE-TIME:20221209T131258Z
UID:agstanford/91
DESCRIPTION:Title: Moduli of relative stable maps to $\\mathbf{P}^1$: cut-and-paste invar
iants\nby Siddarth Kannan (Brown University) as part of Stanford algeb
raic geometry seminar\n\n\nAbstract\nI will give an introduction to the mo
duli space of genus zero rubber stable maps to $\\mathbf{P}^1$\, relative
to 0 and infinity\, with fixed ramification profiles. Then I will discuss
two recent results on the topology of these moduli spaces. The first conce
rns a chamber structure for the classes of these moduli spaces in the Grot
hendieck ring of varieties. The second gives a recursive algorithm for the
calculation of the Euler characteristic\, in the case where the maps are
fully ramified over zero\, and unramified over infinity. If time permits\,
I will also discuss some potential future directions.\n\nThe synchronous
discussion for Siddarth Kannanâ€™s talk is taking place not in zoom-chat\,
but at https://tinyurl.com/2022-04-01-sk (and will be deleted after ~3-7
days).\n
LOCATION:https://researchseminars.org/talk/agstanford/91/
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