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Hannah Dell, University of Edinburgh
Friday 02 June 2023, 16:00-17:00
Stability conditions on free abelian quotients
- 👤 Speaker: Hannah Dell, University of Edinburgh
- 📅 Date & Time: Friday 02 June 2023, 16:00 - 17:00
- 📍 Venue: MR14
Abstract
Stability conditions on triangulated categories were introduced by Tom Bridgeland in 2007. He showed that the space of stability conditions on a given triangulated category can be viewed as a complex manifold, giving us a way to extract geometry from homological algebra. However, an explicit description of the stability manifold is only known in a few cases.
In this talk, I will introduce Bridgeland stability conditions and discuss two approaches to studying stability conditions on surfaces that are free quotients by finite abelian groups. One method is via Le Potier functions, which characterise the existence of slope-semistable vector bundles. The second method uses Deligne’s notion of group actions on triangulated categories.
Series This talk is part of the Junior Geometry Seminar series.
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