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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Categories of curved complexes for marked surfaces

## Categories of curved complexes for marked surfacesAdd to your list(s) Download to your calendar using vCal - Claudius Zibrowius (University of Cambridge)
- Thursday 18 May 2017, 15:15-16:15
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. HTL - Homology theories in low dimensional topology In 2014, Haiden, Katzarkov and Kontsevich gave a complete algebraic description of the Fukaya category of immersed curves on oriented surfaces with boundary. In this talk, I will introduce dg categories which I suspect to be closely related, if not equivalent, to those Fukaya categories. The objects of these dg categories are curved complexes, which, loosely speaking, are chain complexes whose differentials square to multiples of the identity. As an application, I will mainly focus on two examples of such categories arising from Heegaard Floer theory and discuss why they might be interesting. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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