[CvGmt News] [Notiziario] [Settimanale] Fw: avviso seminario di matematica prof. F.W. Lawvere (18.06.2010)

[Liviana Paoletti]

Inoltro avviso di Seminario a me pervenuto.
Cordiali saluti
Liviana Paoletti

----- Original Message ----- 
From: Valeria Giuliani 
To: Docenti Scienze ; Ricercatori Scienze ; Perfezionandi Scienze ; Studenti Scienze ; borsisti.scienze at sns.it 
Cc: Segreteria Classe di Scienze ; Portineria Carovana ; Sito SNS ; Curciarello Giulia ; Alessandra La Spina ; Liviana Paoletti ; Micheletti ; valentina quattrocchi ; leyla makhoul ; francesco casacci ; gavina pinna 
Sent: Friday, June 11, 2010 10:33 AM
Subject: avviso seminario di matematica prof. F.W. Lawvere (18.06.2010)


 

SEMINARIO DI MATEMATICA

 

venerdì 18 giugno 2010
ore 15.00

 

Scuola Normale Superiore

Pisa

(Aula Mancini)

 

F. William Lawvere

University of Buffalo

 

Terrà un seminario dal titolo:

 

"What is a space"

Abstract:

A space is just an object in a category of spaces!

The implied further question is given a very general answer involving lextensivity, as well as a much more structured answer involving dialectically coupled (cohesive/discrete) pairs of toposes. Examples can be analyzed and constructed using the simple geometric paradigm of figures and incidence relations, by which any lextensive category can be embedded in a Grothendieck topos; more refined subtoposes of the latter are specified by Grothendieck coverings that embody the geometrical equivalent of existential/disjunctive conditions on these extended spaces; a specific example involves a generalization of Maschke means. The extended spaces always include the Hurewicz exponential spaces, for example, spaces of functions and distributions equipped automatically with the ambient sort of cohesion. Examples important for smooth, analytic, and algebraic geometry are infinitesimally generated, pursuing an observation that goes back to Euler. A smooth account of points and components for algebraic geometry over a non-algebraically closed field is achieved by replacing Cantorian abstract sets with a Galois-Barr topos as the discrete aspect. The basic goal is to help make the advances in Algebraic Geometry during the past 50 years more accessible to students and to colleagues in related fields by utilizing the simplifying advances in categorical foundations during the same 50 years, especially guided by proposals made by Grothendieck in 1973.

 

 

 

Tutti gli interessati sono invitati a partecipare.

 

                                                                                              Classe di Scienze

--------------------------------------------------------------------------------
Valeria Giuliani
Scuola Normale Superiore
Servizio Supporto Attività Didattiche - Scienze
Tel. 050-509260
Fax. 050-509045
Piazza dei Cavalieri, 7
56126 Pisa
E-Mail: v.giuliani at sns.it 
E-Mail: segreteria.scienze at sns.it

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Grazie.

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