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SUMMARY:Omri Solan (Hebrew University of Jerusalem)
DTSTART:20230921T161500Z
DTEND:20230921T173000Z
DTSTAMP:20260423T021928Z
UID:NEDNT/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/59/">B
 irkhoff generic points on curves</a>\nby Omri Solan (Hebrew University of 
 Jerusalem) as part of New England Dynamics and Number Theory Seminar\n\nLe
 cture held in Online.\n\nAbstract\nLet $a_t$ be a diagonal flow on the spa
 ce X of unimodular lattices in R^n. A point x in X is called Birkhoff gene
 ric if a_t.x equidistributes in X as t\\to \\infty. By Birkhoff ergodic th
 eorem\, almost every point x in X is Birkhoff generic. One may ask whether
  the same is true when the point x is sampled according to a measure singu
 lar to Lebesgue. \nIn a joint work with Andreas Wieser\, we discuss the ca
 se of a generic point x in an analytic curve in X\, and show that under ce
 rtain conditions\, it must be Birkhoff generic. This Birkhoff genericity r
 esult has various applications in Diophantine approximation. In this talk 
 we will relate Birkhoff genericity to approximations of real numbers by al
 gebraic numbers of degree at most n.\n
LOCATION:https://researchseminars.org/talk/NEDNT/59/
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