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Feynman integrals and GKZ hypergeometric systems

Vsevolod Chestnov

Tuesday, 06 December 2022 at 11:15


Gelfand-Kapranov-Zelevinsky (GKZ) hypergeometric systems constitute a wide family of special functions that includes Feynman integrals. The GKZ framework is deeply intertwined with polyhedral combinatorics, D-module theory, and
Pfaffian systems, that is integrable systems of 1st order PDEs. Using these connections we propose an algorithm for deriving the Pfaffian system of differential equations for Feynman integrals.