[CvGmt News] avviso Colloquio De Giorgi prof. Dan Abramovich (22.05.2012)
Valeria Giuliani
valeria.giuliani at sns.it
Wed May 16 10:16:41 CEST 2012
Colloquio De Giorgi
Martedì 22 maggio 2012
ore 16.00
_Scuola Normale Superiore_
Pisa
(Aula Mancini)
*__*
*Dan Abramovich*
/Brown University/
*//*
//
Terrà un seminario dal titolo:
*/"/**The tropicalization of moduli space**/"/*
* *
*/Abstract:/*
/Geometers are obsessed withmoduli spaces: these are spaces which themselves parametrize isomorphism classes of other spaces (such as Riemann surfaces, vector bundles, etc.)./
/A celebrated example in algebraic geometry is the space of stable n-pointed algebraic curves of genusg, due to Deligne--Mumford and Knudsen. It has a delightful combinatorial structure based on weighted graphs./
/Recent papers of Branetti, Melo, Viviani and of Caporaso defined an entirely different moduli space parametrizing tropical curves, a type of weighted metrized graphs generalizing earlier constructions of Culler and Vogtmann, Mikhalkin and others. It also has a delightful combinatorial structure based on weighted graphs./
/One is led to ask whether there is a geometric connection between these moduli spaces; such questions were asked by Caporaso, Baker--Rabinoff--Payne, and Viviani./
/In joint work with Caporaso and Payne, we show that indeed there is a connection, and a very nice one, which passes through a third type of geometry, nonarchimedean analytic geometry./
/My goal is to give an intuitive description of the moduli spaces and the connection between them without requiring knowledge of algebraic geometry or analytic geometry/.
//
Tutti gli interessati sono invitati a partecipare
Classe di Scienze
--
Valeria Giuliani
Scuola Normale Superiore
Servizi Supporto attivita Didattiche
tel.050509260
Fax.050509045
v.giuliani at sns.it
adi.sd at sns.it
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