Stability conditions from a large class of quadratic differentials

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• Fabian Haiden, University of Vienna
• Wednesday 12 November 2014, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Mark Gross.

I will discuss recent joint work with L. Katzarkov and M. Kontsevich (arXiv:1409.8611). Starting from a quadratic differential on a compact Riemann surface which is allowed to have zeros, poles, and certain exponential-type singularities we construct a Bridgeland stability condition with stable objects corresponding to finite geodesics. The relevant category is the partially wrapped Fukaya category of a surface, for which we give a self-contained, combinatorial definition. The proof relies on the fact that the classification of objects in these categories is a tame problem and has a nice solution in terms of immersed curves with local system.

This talk is part of the Algebraic Geometry Seminar series.

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