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SUMMARY:Diophantine property in groups - Varj\, P (University of Cambridge
 )
DTSTART:20140704T090000Z
DTEND:20140704T095000Z
UID:TALK53312@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Let x\, y be two real numbers and consider all numbers that ca
 n be expressed from them using addition and subtraction. Denote by B_l the
  set of numbers that can be obtained by using x and y at most l times. A s
 imple Borel-Cantelliargument shows that the smallest positive element of B
 _l is at least cl^(-1-e) for almost all pairs x\,y. In the lecture we will
  investigate the analogue of this property in non-commutative Lie groups.\
 n
LOCATION:Seminar Room 1\, Newton Institute
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