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SUMMARY:Symplectic manifolds of Fano and Calabi-Yau type - Dmitri Panov (I
 mperial College)
DTSTART:20100310T143000Z
DTEND:20100310T153000Z
UID:TALK23535@talks.cam.ac.uk
CONTACT:Caucher Birkar
DESCRIPTION:In this talk we discuss an attempt to understand which  proper
 ties of algebraic Fano and Calabi-Yau manifolds hold for their symplectic 
 analogues (symplectic manifolds (M\,w) with c_1(M)=w\, and \nc_1(M)=0 corr
 espondingly). One of the goals is to construct symplectic non-algebraic ex
 amples. \n\nUsing hyperbolic geometry we show that starting from real dime
 nsion 6 the gap between algebraic and  "symplectic Calabi-Yau" manifolds i
 s huge. In the same way in each even dimension starting from 12 there exis
 t infinite number of topological types of "symplectic Fano manifolds". If 
 the time permits we will discuss unirulledness. This is a joint work (in p
 rogress) with Joel Fine and Anton Petrunin.\n
LOCATION:MR13\, CMS
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