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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-39
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:SPENCER CATTALANI\, STONY BROOK UNIVERSITY\n\n_Ahlfors currents
  and symplectic non-hyperbolicity_\n\nRational curves are one of the main 
 tools in symplectic geometry and\nprovide a bridge to algebraic geometry. 
 Complex lines are a more\ngeneral class of curve that has the potential to
  connect symplectic\nand complex analytic geometry. These curves are non-c
 ompact\, which\npresents a serious difficulty in understanding their sympl
 ectic\naspects. In this talk\, I will explain how Ahlfors currents can be 
 used\nto resolve this difficulty and produce a theory parallel to that of\
 nrational curves. In particular\, Ahlfors currents can be constructed\nvia
  a continuity method\, they control bubbling of holomorphic curves\,\nand 
 they form a convex set.\n\nMC 5417
DTSTAMP:20260502T041408Z
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