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UID:ec1e675c2288234a7d5197bd9e6aba37
CATEGORIES:Symplectic Geometry Seminar
CREATED:20260428T144138
SUMMARY:Ahlfors Currents and Symplectic Non-Hyperbolicity
LOCATION:SEC 117
DESCRIPTION:Title: Ahlfors Currents and Symplectic Non-Hyperbolicity\nAbstract: The stu
 dy of rational curves has revealed deep connections between symplectic and 
 algebraic geometry. Complex lines are a more general class of curve that ha
 s the potential to connect symplectic and complex analytic geometry. Remark
 ably, as shown by Bangert in 1998, every almost complex structure on a 2n-t
 orus tamed by a linear symplectic structure contains a complex line. These 
 curves are non-compact, which presents a serious difficulty in understandin
 g their symplectic aspects. In this talk, I will explain how Ahlfors curren
 ts can be used to resolve this difficulty and produce a theory parallel to 
 that of rational curves.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Title: Ahlfors Currents and Symplectic Non-Hyperbolicity</p><p>Abstract:
  The study of rational&nbsp;curves has revealed deep connections between sy
 mplectic and algebraic geometry. Complex lines are a more general class of 
 curve that has the potential to connect symplectic and complex analytic geo
 metry. Remarkably, as shown by Bangert in 1998, every almost&nbsp;complex s
 tructure on a 2n-torus tamed by a linear symplectic structure contains a co
 mplex line. These curves are non-compact, which presents a serious difficul
 ty in understanding their symplectic aspects. In this talk, I will explain 
 how Ahlfors currents can be used to resolve this difficulty and produce a t
 heory parallel to that of rational curves.</p>
CONTACT:Spencer Cattallani (Stony Brook)
DTSTAMP:20260828T100438
DTSTART;TZID=America/New_York:20260501T140000
DTEND;TZID=America/New_York:20260501T150000
SEQUENCE:0
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