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SUMMARY:Symplectic topology of K3 surfaces via mirror symmetry - Ivan Smit
 h  (University of Cambridge)
DTSTART:20170818T150000Z
DTEND:20170818T160000Z
UID:TALK76131@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-Author: Nick Sheridan (Princeton & Cambridge)<br><br>We pro
 ve that there are symplectic K3 surfaces for which the Torelli group\, of 
 symplectic mapping classes <br>acting trivially on cohomology\, is infinit
 ely generated.&nbsp\; The proof combines homological mirror symmetry for <
 br>Greene-Plesser mirror pairs with results of Bayer and Bridgeland on aut
 oequivalence groups of derived categories <br>of K3 surfaces.&nbsp\; Relat
 ed ideas in mirror symmetry yield a new symplectic viewpoint on Kuznetsov&
 #39\;s K3-category<br>of a cubic fourfold.<br>
LOCATION:Seminar Room 1\, Newton Institute
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