[CvGmt News] avviso seminario di matematica Prof. Doran (03.05.2010)

[Valeria Giuliani]

SEMINARIO DI MATEMATICA

 

lunedì 3 Maggio 2010
ore 15.00

 

 

Scuola Normale Superiore

Pisa

(Aula Tonelli)

 

 

Brent Doran

ETH Zurigo

 

Terrà un seminario dal titolo:

 

"A little taste of arithmetic geometric topology"

 

Abstract:

Topologists developed powerful tools in the twentieth century with a  focus on the theory of manifolds.  However, classical questions long  solved in topology, via fairly sophisticated techniques, have analogs  which are still open in algebraic geometry -- which, despite  motivating dreams and conjectures, lacks the precise analogs of those  techniques.  To cite two simple concrete instances: (1) the  cancellation problem, i.e., if X x A^1 = A^n, then what is X, and (2)  a theory of vector bundles via classifying spaces, both have clean,  complete topological stories.  We explore the rough question of what  issues in algebraic geometry are essentially topological, versus those  which require hard geometry and arithmetic, by illustrating some  instances where A^1-homotopic thinking (or ``motivic homotopy")  clarifies matters.  As an application, we discuss the question "what  is a sphere over Z", in a way that Heinz Hopf would likely have  appreciated.

 

 

Tutti gli interessati sono invitati a partecipare.

 

 

 

                                                                                              Classe di Scienze

--------------------------------------------------------------------------------
Valeria Giuliani
Scuola Normale Superiore
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Fax. 050-509045
Piazza dei Cavalieri, 7
56126 Pisa
E-Mail: v.giuliani at sns.it 
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