Relative graded Brauer graph algebras and stability conditions

Abstract: We consider a class of dg-algebras which generalize Brauer graph algebras, called relative graded Brauer graph algebras. Their Koszul dual dg-algebras are given by finite group quotients of relative Ginzburg algebras associated with n-angulated surfaces. By constructing a partial geometric model of the derived category, we fully describe the finite heart tilting theory. This leads to a description of the space of Bridgeland stability conditions in terms of quadratic differentials. Based on joint work with Y. Qiu and F. Haiden.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Comments: https://uni-koeln.zoom.us/j/91875528987?pwd=US8wdjNrWjl5dXNQSVRzREhoRE1PUT09

Meeting ID: 918 7552 8987 Password: LAGOON

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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.

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