Algebraic Geometry Seminar

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Feynman Periods: Numbers and Geometry

Speaker: Dmitry Doryn, Institute for Basic Science, South Korea

Location: Warren Weaver Hall 201

Date: Tuesday, March 1, 2016, 3:30 p.m.

Synopsis:

I will speak about Feynman periods, the values of Feynman integrals in (massless, scalar) φ⁴ theory, from the number-theoretical perspective. Then I define a closely related geometric 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 c₂ invariant (on the arithmetical side).