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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Rothschild Lecture: Elliptic curves associated to
two-loop graphs (Feynman diagrams) - Spencer Bloch
(University of Chicago)
DTSTART;TZID=Europe/London:20200129T160000
DTEND;TZID=Europe/London:20200129T170000
UID:TALK138142AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/138142
DESCRIPTION:Two loop Feynman diagrams give rise to inter
esting 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 o
f elliptic curves parametrized by physical paramet
ers like momentum and masses.) Remarkably\, ellipt
ic curves appear also for suitable graphs with n=5
and n=7\, and conjecturally for an infinite seque
nce of graphs with n odd. I will describe the alge
braic geometry involved in proving this. Physicall
y\, the amplitudes associated to one-loop graphs a
re known to be dilogarithms. Time permitting\, I w
ill speculate a bit about how the presence of elli
ptic curves might point toward relations between t
wo-loop amplitudes and elliptic dilogarithms.
\; \;

This is joint work wit
h C. Doran\, P. Vanhove\, and M. Kerr. \; &nb
sp\;

LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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