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UID:6a2307232965a
DTSTART;TZID=America/Toronto:20131204T160000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20131204T160000
URL:https://uwaterloo.ca/pure-mathematics/events/special-colloquium-fuchs-d
 ec-4-2013
LOCATION:MC - Mathematics &amp; Computer Building 200 University Avenue West 20
 34 Waterloo ON N2L 3G1 Canada
SUMMARY:Special colloquium
CLASS:PUBLIC
DESCRIPTION:ELENA FUCHS\, UNIVERSITY OF CALIFORNIA\, BERKELEY\n\n\"THIN GRO
 UPS: ARITHMETIC AND BEYOND\"\n\nIn 1643\, Rene Descartes discovered a form
 ula relating curvatures of\ncircles in Apollonian circle packings\, constr
 ucted by Apollonius of\nPerga in 200 BC.  This formula has recently led t
 o a connection\nbetween the construction of Apollonius and orbits of a cer
 tain\nso-called thin subgroup G of GL_4(Z).  This connection is key in\nr
 ecent results on the arithmetic of Apollonian packings\, which I will
DTSTAMP:20260605T172803Z
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