Algebraic Geometry Seminar
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.
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).