REMINDER two ICTP Mathematics Seminars this week

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2018


1) Wednesday 28, March, at 14.00 hrs.


Riccardo Scala (University of Lisbon)


Title:
Some recent progress on the relaxation of the area functional


Abstract:
We introduce the area functional, namely the map which evaluates the 
area of the graph of a given C^1 vector valued function u defined on a 
open domain on R^n. We discuss the problem of relaxation of the area 
functional and recall some important properties. Then we consider the 
problem of triple junction points, in the presence of which the area 
functional shows nonlocal behaviour. The problem of evaluating the area 
functional on such maps is related to a problem of minimal surfaces 
whose solution passes by application of geometric analysis tools.




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



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2) Thursday 29, March, at 14.00 hrs.




Javad Asadollahi (University of Isfahan and IPM-Isfahan, Iran)



Title:
Relative Auslander's Formula


Abstract:
Auslander's formula suggests that for studying an abelian category, one 
may study the category of finitely presented additive functors on it, 
that has nicer homological properties than the category itself, and then 
translate the results back to the original category. According to H. 
Lenzing, a considerable part of Auslander's work on the representation 
theory of finite dimensional, or more general artin, algebras can be 
connected to this formula.

In this talk, we first recall the Auslander's proof of the formula and 
then introduce and study a relative version of it. As application, some 
connections between the Morita equivalences of the endomorphism algebras 
of generators and the Morita equivalences of the original algebras will 
be provided.

The talk is based on a joint work with R. Hafezi and M. H. Keshavarz.





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