[CvGmt News] avviso Colloquio De Giorgi prof. Dan Abramovich (22.05.2012)

[Valeria Giuliani]

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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