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SUMMARY:Emmanuel Breuillard (University of Cambridge)
DTSTART:20200918T161500Z
DTEND:20200918T173000Z
DTSTAMP:20260423T053015Z
UID:NEDNT/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/1/">A 
 subspace theorem for manifolds</a>\nby Emmanuel Breuillard (University of 
 Cambridge) as part of New England Dynamics and Number Theory Seminar\n\n\n
 Abstract\nSchmidt’s subspace theorem is a fundamental result in diophant
 ine approximation and a natural generalization of Roth’s celebrated theo
 rem. In this talk I will discuss a geometric understanding of this theorem
  that blends homogeneous dynamics and geometric invariant theory. Combined
  with the Kleinbock-Margulis quantitative non-divergence estimates this yi
 elds a natural generalization of the subspace theorem to systems of linear
  forms that depend nicely on a parameter. I will also present several appl
 ications and consequences of the main result. Joint work with Nicolas de S
 axcé.\n
LOCATION:https://researchseminars.org/talk/NEDNT/1/
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