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SUMMARY:Burt Totaro (UCLA)
DTSTART;VALUE=DATE-TIME:20200501T190000Z
DTEND;VALUE=DATE-TIME:20200501T200000Z
DTSTAMP;VALUE=DATE-TIME:20240224T060535Z
UID:agstanford/3
DESCRIPTION:Title: The Hilbert scheme of infinite affine space\nby Burt Totaro (UCLA)
as part of Stanford algebraic geometry seminar\n\n\nAbstract\nI will discu
ss the Hilbert scheme of $d$ points in affine $n$-space\, with some exampl
es. This space has many irreducible components for $n$ at least 3 and is p
oorly understood. Nonetheless\, in the limit where $n$ goes to infinity\,
we show that the Hilbert scheme of $d$ points in infinite affine space ha
s a very simple homotopy type. In fact\, it has the $A^1$-homotopy type of
the infinite Grassmannian $BGL(d-1)$. Many questions remain. (Joint with
Marc Hoyois\, Joachim Jelisiejew\, Denis Nardin\, Maria Yakerson.)\n
LOCATION:https://researchseminars.org/talk/agstanford/3/
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