g-vector fan of finite-dimensional algebras
Organizer
Speaker
Qi Wang
Time
Thursday, October 10, 2024 12:30 PM - 2:00 PM
Venue
A3-2-201
Abstract
Silting objects have been extensively studied over the past decade due to their bijective correspondence with several other crucial structures in representation theory, such as (co-)t-structures and simple-minded collections. We will focus on the set of two-term silting objects, along with the fan formed by the g-vectors of two-term presilting objects. In this talk, we aim to explain some fundamental properties of g-vector fans, including sign-coherence, sign decomposition, and idempotent reductions, among others.