BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Fukaya categories of the torus and Dehn surgery on 3-manifolds - Y
 anki Lekili\, Cambridge
DTSTART:20110209T160000Z
DTEND:20110209T170000Z
UID:TALK28696@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:In joint work with Tim Perutz\, we extend the Heegaard Floer t
 heory of Ozsvath-Szabo to compact 3–manifolds with two boundary componen
 ts. In the particular case of 3-manifolds bounding the 2-sphere and the 2-
 torus\, the simplest version of this extension takes the form of an A-infi
 nity module over the Fukaya category of a once punctured torus. After givi
 ng an overview of\nthis extension\, I will show that the A-infinity struc
 tures on the graded algebra A underlying the Fukaya category of the punctu
 red 2-torus are\ngoverned by just two parameters\, extracted from the Hoch
 schild cohomology of A. Finally\, I will prove that the dg-categories of s
 heaves on the Weierstrass family of elliptic curves yield a way to realize
  all\nsuch A-infinity structures. This pins down a complete description of
  the Fukaya A-infinity algebra of the punctured torus\, which is non-forma
 l.\n
LOCATION:MR4
END:VEVENT
END:VCALENDAR