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SUMMARY:[TMS] On Schmidt's games\, badly approximable numbers & winning se
 ts - Dr. Stergios Antonakoudis (DPMMS)
DTSTART:20160125T203000Z
DTEND:20160125T213000Z
UID:TALK64161@talks.cam.ac.uk
CONTACT:Jason Kwong
DESCRIPTION:Schmidt introduced a simple and powerful way to study certain 
 important sets of real numbers\, that although they exhibit remarkable rig
 idity features\, they are 'too thin' to be detected using classical method
 s in analysis. The set of real numbers which badly approximable by rationa
 ls is an important example of such a set. In this talk\, we will discuss S
 chmidt's games\, their applications and generalisations in geometry and dy
 namics. As a warm-up for the talk\, you might like to try the following pr
 oblem: Is every real number the difference of two badly approximable numbe
 rs? [1]https://en.wikipedia.org/wiki/Diophantine_approximation#Badly_appro
 ximable_numbers
LOCATION:Winstanley Lecture Theatre\, Trinity College
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