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SUMMARY:Lagrangian Clean Surgery and Projective Dehn Twists - Weiwei Wu\, 
 University of Georgia
DTSTART:20190424T150000Z
DTEND:20190424T160000Z
UID:TALK122047@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Lagrangian surgeries were first discovered by Leonid Polterovi
 ch when two Lagrangian submanifolds intersect at a point transversally. Fu
 kaya\, Oh\, Ohta and Ono observed a cone relation between the two Lagrangi
 ans and the surgered Lagrangian\, and this cone relation has been fundamen
 tal in the understanding of Fukaya categories. I will explain a generaliza
 tion of Polterovich's construction to the case when the two Lagrangians in
 tersect cleanly\, and give a cone relation for the surgered Lagrangian. Th
 is surgery formula helps us compute the connecting maps in the cone relati
 on recently proved by Cheuk-Yu Mak and myself\, and thus completes the pro
 of of the Huybrechts-Thomas conjecture on projective twists in Fukaya cate
 gories.
LOCATION:MR13
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