Tilting modules and universal localizations

Luogo: PovoZero, via Sommarive, 14 - Povo - Sala Seminari 1
Ore: 12:00

Relatore: 

• Bonometti Fabiano (PhD Student in Mathematics)

Abstract:

A recollement can be thought as a way to glue together two abelian or triangulated categories and obtain a bigger one. Motivated by the classification problem of (non-compact) tilting and silting modules, we study methods for gluing tilting objects along recollements, that means getting a tilting (resp., silting) object in the 'big' category starting from two tilting (resp., silting) objects in the two 'small' ones. We focus in particular on the recollements induced by a universal localization of rings and by one-point extensions of rings, or more generally by a triangular matrix ring, and give explicit gluing methods in these cases.

Referente: Lidia Angeleri