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SUMMARY:Why is $e^{\\pi \\sqrt{163}}$ almost an integer? - Marius Leonhard
 t
DTSTART:20190224T154500Z
DTEND:20190224T162000Z
UID:TALK120793@talks.cam.ac.uk
CONTACT:73969
DESCRIPTION:$e^\\pi \\sqrt{163}=262537412640768743.99999999999925$ is very
  close to an integer. Coincidence? Not at all. In this talk\, we will see 
 how this is related to the $j$-function\, a certain holomorphic function o
 n the upper half plane. We will interpret the $j$-function as a function o
 n the space of elliptic curves\, and then see how symmetries of elliptic c
 urves and of this space have far-reaching consequences -- not only for $e^
 \\pi \\sqrt{163}$.
LOCATION:Winstanley Lecture Theatre\, Trinity College
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