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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Rothschild Lecture: Elliptic curves associated to two-loop graphs (Feynman diagrams)

## Rothschild Lecture: Elliptic curves associated to two-loop graphs (Feynman diagrams)Add to your list(s) Download to your calendar using vCal - Spencer Bloch (University of Chicago)
- Wednesday 29 January 2020, 16:00-17:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. KAH - K-theory, algebraic cycles and motivic homotopy theory 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.) Remarkably, 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, the amplitudes associated to one-loop graphs are known to be dilogarithms. Time permitting, I will speculate a bit about how the presence of elliptic curves might point toward relations between two-loop amplitudes and elliptic dilogarithms. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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