Categories associated with weighted marked surfaces and their stability manifold

Abstract: In a paper in 2015, Bridgeland and Smith identified some moduli spaces of meormorphic quadratic differentials with simple zeroes on a Riemann surface with some spaces of stability conditions on certain categories. This identification passes through associating a quiver with potential and a Ginzburg category to a triangulation of a marked bordered surface defined by a quadratic differential. I will review this correspondence and discuss how the picture changes when quadratic differentials with zeroes of arbitrary order are considered. This involves the study of Verdier quotients of Ginzburg categories and their t-structures. The talk is based on a joint work with M.Moeller, Y.Qiu, and J.So.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

Comments: Meeting Link

uni-koeln.zoom.us/j/91875528987?pwd=TjNZV1lNdVJNOWUrR2xNalRuQWk3dz09

Meeting ID: 918 7552 8987 Password: LAGOON2022

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

LAGOON will take place online every last Wednesday of the month from 14:00-15:00 (Time Zone Berlin, Rome, Paris).

Videos of the talks can be viewed here.

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