Categories of curved complexes for marked surfaces
1 hour 5 mins,
940.16 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.92 Mbits/sec
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About this item
| Description: |
Zibrowius, C (University of Cambridge)
Thursday 18th May 2017 - 15:15 to 16:15 |
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| Created: | 2017-05-24 16:11 |
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| Collection: | Homology theories in low dimensional topology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Zibrowius, C |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | 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. |
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