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SUMMARY:Jenia Tevelev (University of Massachusetts Amherst)
DTSTART:20210528T143000Z
DTEND:20210528T153000Z
DTSTAMP:20260422T172459Z
UID:TGiZ/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/26/">Co
 mpactifications of moduli of points and lines in the (tropical) plane</a>\
 nby Jenia Tevelev (University of Massachusetts Amherst) as part of Tropica
 l Geometry in Frankfurt/Zoom TGiF/Z\n\n\nAbstract\nProjective duality iden
 tifies moduli spaces of points and lines in the projective plane. The latt
 er space admits Kapranov's Chow quotient compactification\, studied also b
 y Lafforgue\, Hacking-Keel-Tevelev\, and Alexeev\, which gives an example 
 of a KSBA moduli space of stable surfaces: it carries a family of reducibl
 e degenerations of the projective plane with "broken lines". From the trop
 ical perspective\, these degenerations are encoded in matroid decompositio
 ns and tropical planes and their moduli space in the Dressian and the trop
 ical Grasmannian. In 1991\, Gerritzen and Piwek proposed a dual perspectiv
 e\, a compact moduli space parametrizing reducible degenerations of the pr
 ojective plane with n smooth points. In a joint paper with Luca Schaffler\
 , we investigate the extension of projective duality to degenerations\, an
 swering a question of Kapranov.\n
LOCATION:https://researchseminars.org/talk/TGiZ/26/
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