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Geometry and Physics Seminar

Tuesday, October 26, 2021
2:30pm to 3:30pm
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Linde Hall 289
An explicit positive geometry of N^kMHV diagrams in N=4 SYM
Susama Agarwala, Department of Mathematics, University of Hamburg,

In this talk, I present a Feynman integral approach to understanding the three level interactions of N = 4 SYM theory, and compare it to the BCFW approach of the Amplituhedron. In particular, in the Feynman integral approach, the geometry decomposes nicely in $Gr_{\geq 0}(k,n)$ for n-particle N^kMHV tree level interactions, a property that is only conjectured for the Amplituhedron. I will present several barriers to generalizing this structure to understanding the geometry of the Amplituhedron, as well as new mathematical questions that have been uncovered by the exploration of N=4 SYM theory in this manner.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.