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Tropicalizing moduli spaces of algebraic curves and spin curves

Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces January 28, 2019 - January 30, 2019

January 30, 2019 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Lucia Caporaso (Roma Tre University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

11-Caporaso

Abstract

The talk will describe analytifications and tropicalizations of moduli spaces of algebraic curves and spin curves and their connection. In particular, the moduli space of tropical spin curves will be constructed, and shown to be the tropicalization of the moduli space of algebraic spin curves. The talk will survey recent results obtained jointly with M. Melo and M. Pacini, together with various, less recent, results.

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Video/Audio Files

11-Caporaso

H.264 Video 861_25939_7576_11-Caporaso.mp4
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