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SUMMARY:Categories of curved complexes for marked surfaces - Claudius Zibr
 owius (University of Cambridge)
DTSTART:20170518T141500Z
DTEND:20170518T151500Z
UID:TALK72715@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In 2014\, Haiden\, Katzarkov and Kontsevich gave a complete al
 gebraic description of the Fukaya category of immersed curves on oriented 
 surfaces with boundary. In this talk\, I will introduce dg categories whic
 h I suspect to be closely related\, if not equivalent\, to those Fukaya ca
 tegories. The objects of these dg categories are curved complexes\, which\
 , loosely speaking\, are chain complexes whose differentials square to mul
 tiples of the identity. As an application\, I will mainly focus on two exa
 mples of such categories arising from Heegaard Floer theory and discuss wh
 y they might be interesting.<br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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