Simple objects in cotilting hearts of irrational slope

Seminar for the Admission at Final Exam
9 ottobre 2018
October 9, 2018

Luogo: PovoZero, via Sommarive, 14 - Povo - Sala Seminari 1
Ore: 12:30

Relatore

  • Rapa Alessandro (PhD Student in Mathematics)

Abstract:

The purpose of my research is to describe pure-injective modules of irrational slope over a tubular algebra A. These modules can be viewed as injective objects in a Grothendieck category, associated to this algebra A, which arises as the heart of a t-structure defined by a cotilting torsion pair in the category of A-modules. Therefore, a description of the simple objects in this heart is the first goal to achieve. We outline a general criterion to characterize simple objects in the heart and we describe a constructive procedure to built a sheaf of irrational slope, which is a candidate to become simple in the heart.

Referente: Lidia Angeleri