| Softcover ISBN: | 978-1-4704-4329-0 |
| Product Code: | CMIP/21 |
| List Price: | $120.00 |
| MAA Member Price: | $108.00 |
| AMS Member Price: | $96.00 |
| Softcover ISBN: | 978-1-4704-4329-0 |
| Product Code: | CMIP/21 |
| List Price: | $120.00 |
| MAA Member Price: | $108.00 |
| AMS Member Price: | $96.00 |
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Book DetailsClay Mathematics ProceedingsVolume: 21; 2020; 229 ppMSC: Primary 81; 14; 11
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.
Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
ReadershipGraduate students and researchers interested in mathematical aspects of Feynman integrals, in particular connections with Hodge theory and \(l\)-adic sheaves.
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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.
Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
Graduate students and researchers interested in mathematical aspects of Feynman integrals, in particular connections with Hodge theory and \(l\)-adic sheaves.
