Stability conditions, metrics, and compactifications, 3
This learning seminar will be hosted monthly, with two one-and-a-half hour talks. The thematics will be broadly related to braids, diagrams, and algebraic, geometric and topological methods used to understand them. The goal is to give talks accessible to everyone.
Speakers
Event series
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Description
Abstract:
A stability condition on a triangulated category turns the category into a geometric object. We can then import powerful techniques from geometry to the study of triangulated categories and stability manifolds. I will elaborate on this theme. Specifically, I will describe how a stability condition defines a metric on the category. I will describe how this metric can be used to construct a compactification of the stability manifold, using ideas inspired by the study of metrics on Riemann surfaces, namely Teichmuller theory. I will then discuss potential applications, examples, and unexplored areas.
*This is part of a series of talks, full program can be found here.
Location
Seminar Room 1.33
Hanna Neumann Building 145
Science Road
Acton ACT 2601
Upcoming events in this series
The algebra-topology seminar covers topics in Algebra and Topology