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Wednesday, March 16, 2016
3:30 PM - 4:30 PM

Noncommutative Geometry Seminar

Feynman Periods: Numbers and Geometry
Dmitry Doryn, IBS, Center for Geometry and Physics,

I will speak on the Feynman periods, the values of Feynman integrals in (massless, scalar) phi^4 theory, from the number-theoretical perspective. Then I define a closely related geometrical object, the graph hypersurface.

One can try to study the geometry of these hypersurfaces (cohomology, Grothendieck ring, number of rational points over finite fields) and to relate it to the periods. The most interesting results come out from the study of the c_2 invariant (on the arithmetical side).

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu or visit http://www.math.caltech.edu/~ncg/.