“In Search of Tilting Representations”
Thursday 12 March 2026 h. 15:30 - Room 2BC30 - Anastasios Slaftsos (Padova, Dip. Mat.)
Abstract
The representation theory of quivers (i.e., oriented graphs encoding algebraic data) consists a central pillar in the study of finite-dimensional algebras. Beyond their combinatorial nature, quivers provide concrete models for more abstract settings, including module categories and their derived counterparts. A fundamental problem in this area is the classification and comparison of representations of a fixed quiver, and tilting theory provides a key mechanism for approaching this problem. In this talk, we introduce tilting theory through explicit examples, beginning with classical tilting modules over finite-dimensional algebras and progressing to more general triangulated settings that extend beyond the classical derived category framework.
The video of the seminar will appear shortly afterwards in this Mediaspace channel.
