Amplitudes, Hodge Theory and Ramification

From Periods and Motives to Feynman Amplitudes

K Ebrahimi-Fard editor JI Burgos Gil editor D Manchon editor

Format:Paperback

Publisher:American Mathematical Society

Published:30th Jan '21

Should be back in stock very soon

Amplitudes, Hodge Theory and Ramification cover

This is the first volume of the lectures presented at the Clay Mathematics Institute 2014 Summer School, “Periods and Motives: Feynman amplitudes in the 21st century”, which took place at the Instituto de Ciencias Matemáticas–ICMAT (Institute of Mathematical Sciences) in Madrid, Spain. It covers the presentations by S. Bloch, by M. Marcolli and by L. Kindler and K. Rülling.

The main topics of these lectures are Feynman integrals and ramification theory. On the Feynman integrals side, their relation with Hodge structures and heights as well as their monodromy are explained in Bloch’s lectures. Two constructions of Feynman integrals on configuration spaces are presented in Ceyhan and Marcolli’s notes. On the ramification theory side an introduction to the theory of l -adic sheaves with emphasis on their ramification theory is given. These notes will equip the reader with the necessary background knowledge to read current literature on these subjects.

ISBN: 9781470443290

Dimensions: unknown

Weight: 450g

240 pages