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SUMMARY:Jinxin Xue (Tsinghua University)
DTSTART:20221116T121000Z
DTEND:20221116T133000Z
DTSTAMP:20260423T004822Z
UID:GDS/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/66/">Dyn
 amics of composite symplectic Dehn twists</a>\nby Jinxin Xue (Tsinghua Uni
 versity) as part of Geometry and Dynamics seminar\n\n\nAbstract\nIt is cla
 ssically known in Nielson-Thurston theory that the mapping class \ngroup o
 f a hyperbolic surface is generated by Dehn twists and most elements \nare
  pseudo Anosov. Pseudo Anosov elements are interesting dynamical objects. 
 \nThey are featured by positive topological entropy and two invariant sing
 ular \nfoliations expanded or contracted by the dynamics. We explore a gen
 eralization \nof these ideas to symplectic mapping class groups. With the 
 symplectic Dehn \ntwists along Lagrangian spheres introduced by Arnold and
  Seidel\, we show in \nvarious settings that the  compositions of such twi
 sts has features of pseudo \nAnosov elements\, such as positive topologica
 l entropy\, invariant stable and \nunstable laminitions\, exponential grow
 th of Floer homology group\, etc. This \nis a joint work with Wenmin Gong 
 and Zhijing Wang.\n
LOCATION:https://researchseminars.org/talk/GDS/66/
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