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SUMMARY:Boris Springborn (TU Berlin)
DTSTART:20201126T153000Z
DTEND:20201126T164500Z
DTSTAMP:20260423T021412Z
UID:BODS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BODS/3/">The
  hyperbolic geometry of Markov's theorem on Diophantine approximation and 
 quadratic forms</a>\nby Boris Springborn (TU Berlin) as part of Bremen Onl
 ine Dynamics Seminar\n\n\nAbstract\nMarkov's theorem classifies the worst 
 irrational numbers and the most non-zero quadratic forms. This talk is abo
 ut a new proof using hyperbolic geometry. The main ingredients are a dicti
 onary to translate between hyperbolic geometry and algebra/number theory\,
  and some very\nbasic tools borrowed from modern geometric Teichmüller th
 eory. Simple closed geodesics and ideal triangulations of the modular toru
 s play an important role\, and so does the problem: How far can a straight
  line crossing a triangle stay away from the vertices?\n
LOCATION:https://researchseminars.org/talk/BODS/3/
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