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SUMMARY:Hall algebras and Fukaya categories - Peter Samuelson (University 
 of Edinburgh)
DTSTART:20170626T123000Z
DTEND:20170626T133000Z
UID:TALK73058@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:(joint with Ben Cooper)<br><br>The multiplication in the Hall 
 algebra of an abelian category is defined by "counting extensions of objec
 ts\," and the representation theory of this algebra tends to be quite inte
 resting (e.g. Ringel showed the Hall algebra of modules over a quiver is t
 he quantum group). Recently\, Burban and Schiffmann explicitly described t
 he Hall algebra of coherent sheaves over an elliptic curve\, and various a
 uthors have connected this algebra to symmetric functions\, Hilbert scheme
 s\, torus knot homology\, the Heisenberg category\, and the skein algebra 
 of the torus. Motivated by this last connection and homological mirror sym
 metry\, we discuss some computations in progress involving the Hall algebr
 a of the Fukaya category of a (topological) surface.<br>
LOCATION:Seminar Room 1\, Newton Institute
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