Amplitudes, Hodge Theory and Ramification: From Periods and Motives to Feynman Amplitudes

Author:   K. Ebrahimi-Fard ,  J.I. Burgos Gil ,  D. Manchon
Publisher:   American Mathematical Society
ISBN:  

9781470443290


Pages:   240
Publication Date:   30 January 2021
Format:   Paperback
Availability:   In Print   Availability explained
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Amplitudes, Hodge Theory and Ramification: From Periods and Motives to Feynman Amplitudes


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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.

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Author:   K. Ebrahimi-Fard ,  J.I. Burgos Gil ,  D. Manchon
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.450kg
ISBN:  

9781470443290


ISBN 10:   1470443295
Pages:   240
Publication Date:   30 January 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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K. Ebrahimi-Fard, Norwegian University of Science and Technology, Trondheim, Norway. J. I. Burgos Gil, Institute of Mathematical Sciences, Spanish National Research Council, Madrid, Spain. D. Manchon, CNRS et Universite Clermont-Auvergne, Aubiere, France

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