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SUMMARY:Complex dynamics and elliptic curves - Laura DeMarco (Northwestern
  University)
DTSTART:20170608T160000Z
DTEND:20170608T170000Z
UID:TALK69955@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:In this talk\, I will present some connections between recent 
 research in dynamical systems and the classical theory of elliptic curves 
 and rational points.  The main goal is to illustrate the role of dynamical
  stability and bifurcations in deducing arithmetic finiteness statements. 
  I will focus on three examples:  (1)  the theorem of Mordell and Weil fro
 m the 1920s\, presented from a dynamical point of view\; (2) a recent resu
 lt of Masser and Zannier about torsion points on elliptic curves\, and (3)
  features of the Mandelbrot set.\n\n\nThere will be a wine reception follo
 wing the talk in the Central Core. 
LOCATION:MR2\, CMS
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