株式会社極東書店トップ ＞ 商品一覧 ＞ Amplitudes, Hodge Theory and Ramification: From Periods and Motives to Feynman Amplitudes.
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Amplitudes, Hodge Theory and Ramification: From Periods and Motives to Feynman Amplitudes.
・ISBN 978-1-4704-4329-0 paper US$ 120.00
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| 著者・編者 | Ebrahimi-Fard, K. / Gil, J.I. Burgos / Manchon, D. (eds.), |
|---|---|
| シリーズ | (Clay Mathematics Proceedings) |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2021 |
| ページ数 | 240 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A02-21716＞ |
解説
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 Matematicas-ICMAT (Institute of Mathematical Sciences) in Madrid, Spain. It covers the presentations by S. Bloch, by M. Marcolli and by L. Kindler and K. Ruelling.
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.
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.