ICTP COLLOQUIUM Thursday 11 October in MLH

Info Point info_pt at ictp.it
Tue Oct 9 13:26:57 CEST 2012


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*ICTP COLLOQUIUM*

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*16:30, Thursday, 11 October 2012*

*Main Lecture Hall, Leonardo Building, ICTP*

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*Counting geometry*


  Fernando Rodriguez Villegas


  ICTP

*Abstract: A. Weil discovered in the 1940's that the geometry of a 
complexalgebraic variety is reflected in a precise way on its versions 
overfinite fields.This leads to the possibility of gaining 
geometricinsight from counting. In this talk I will discuss the 
generalprinciple and describe how it can be applied to certain 
charactervarieties. These spaces are an incarnation of those introduced 
byHitchin in 1986 that classify solutions to a two-dimensionalreduction 
of the self-dual Yang-Mills equation of mathematicalphysics. *

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