ICTP Mathematics Seminar - Thursday 29 March, at 14.00hrs (Java ASADOLLAHI)

[ICTP Math Section]

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


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)