Arithmetic of Feynman Integrals

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Next lectures
09.12.2024, 09:15 (G3 10 (Lecture hall))
16.12.2024, 09:15 (G3 10 (Lecture hall))
06.01.2025, 09:15 (G3 10 (Lecture hall))
13.01.2025, 09:15 (G3 10 (Lecture hall))
20.01.2025, 09:15 (G3 10 (Lecture hall))
27.01.2025, 09:15 (G3 10 (Lecture hall))
03.02.2025, 09:15 (G3 10 (Lecture hall))

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This will be a hybrid lecture/reading seminar on the arithmetic geometry of Feynman integrals.

Perturbative quantum field theory is a framework with which physicists understand, predict and compute the probabilities of quantum interactions. A key tool in this is the concept of a Feynman integral. These integrals have remarkably deep number theoretic and arithmetic geometric connections to the theory of motives and periods, arising from the values of Feynman integrals. In this course, we will study this connection between Feynman integrals and motives from a computational point of view.

Keywords
Feynman integrals, arithmetic geometry, number theory

Prerequisites
No background in physics is assumed. Knowledge of algebraic varieties will be beneficial.

Language
English