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SUMMARY:Dhruv Ranganathan (Cambridge)
DTSTART;VALUE=DATE-TIME:20210528T190000Z
DTEND;VALUE=DATE-TIME:20210528T200000Z
DTSTAMP;VALUE=DATE-TIME:20211209T070536Z
UID:agstanford/52
DESCRIPTION:Title: Constructing logarithmic moduli\nby Dhruv Ranganathan (Cambridge)
as part of Stanford algebraic geometry seminar\n\n\nAbstract\nIn recent wo
rk\, Davesh Maulik and I built a theory “logarithmic” Donaldson-Thomas
invariants\, and in the process we constructed a new version of the Hilbe
rt scheme of curves: one that is sensitive to the manner in which subschem
es interact with a chosen simple normal crossings divisor. There are two i
nputs. The first is a piece of geometry\, which comes from study torus orb
it closures in Hilbert schemes\, following ideas of Kapranov and Tevelev.
The second is an exceedingly useful piece of formalism\, in the shape of t
ropical moduli spaces and an associated collection of Artin stacks. I’ll
try to explain how to combine these ingredients to get what we get\, and
also share some general lessons that we learned while working this stuff o
ut.\n\nThe synchronous discussion for Dhruv Ranganathan’s talk is taking
place not in zoom-chat\, but at https://tinyurl.com/2021-05-28-dr (and
will be deleted after ~3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/52/
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