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SUMMARY:Rothschild Lecture: Elliptic curves associated to two-loop graphs 
 (Feynman diagrams) - Spencer Bloch (University of Chicago)
DTSTART:20200129T160000Z
DTEND:20200129T170000Z
UID:TALK138142@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Two loop Feynman diagrams give rise to interesting cubic
  hypersurfaces in n variables\, where n is the number of edges. When n=3\,
  the cubic is obviously an elliptic curve. (In fact\, a family of elliptic
  curves parametrized by physical parameters like momentum and masses.) Rem
 arkably\, elliptic curves appear also for suitable graphs with n=5 and n=7
 \, and conjecturally for an infinite sequence of graphs with n odd. I will
  describe the algebraic geometry involved in proving this. Physically\, th
 e amplitudes associated to one-loop graphs are known to be dilogarithms. T
 ime permitting\, I will speculate a bit about how the presence of elliptic
  curves might point toward relations between two-loop amplitudes and ellip
 tic dilogarithms.&nbsp\;  &nbsp\;  <br></span><br>This is joint work with 
 C. Doran\, P. Vanhove\, and M. Kerr.&nbsp\;  &nbsp\;  <br><br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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