Rothschild Lecture: Elliptic curves associated to two-loop graphs (Feynman diagrams)
Duration: 1 hour 6 mins
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Bloch, S
Wednesday 29th January 2020 - 16:00 to 17:00 |
|---|
| Created: | 2020-01-30 09:19 |
|---|---|
| Collection: | K-theory, algebraic cycles and motivic homotopy theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Bloch, S |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | 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 is joint work with C. Doran, P. Vanhove, and M. Kerr. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.96 Mbits/sec | 973.64 MB | View | Download | |
| WebM | 640x360 | 700.0 kbits/sec | 338.38 MB | View | Download | |
| iPod Video | 480x270 | 528.73 kbits/sec | 255.59 MB | View | Download | |
| MP3 | 44100 Hz | 253.18 kbits/sec | 122.39 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||