Mathematics Seminar at ICTP - Monday, 7 November 2016, at 16:00

[Math Section]

M A T H E M A T I C S   S E M I N A R S  2016


Monday, 7 November, at 16:00 hrs.



Samia Ashraf (University of Sargodha, Pakistan)


Title:
Cohomology of Configuration Spaces of  Complex Projective spaces


Abstract:
The ordered configuration space of n points in a topological space X is 
the space of all possible configurations of n labelled points in that 
space X. There is a natural action of the symmetric group, Sn, on the 
ordered configuration space and the quotient under this action is the 
unordered configuration space.
For a smooth complex projective variety X, I. Kriz constructed a 
rational model (a differential bigraded algebra) for the ordered 
configuration space. The Sn-action on the configuration space induces an 
Sn-action on the Kriz model.
I will discuss this Sn-action and as an application describe the 
cohomology algebra of 3-points configuration spaces of complex 
projective spaces.




VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)