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Periods in Quantum Field Theory and Arithmetic: ICMAT, Madrid, Spain, September 15 December 19, 2014 (Springer Proceedings in Mathematics & Statistics, 314) free ebook download

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Author(s):	Jose Ignacio Burgos Gil

Date:	2024	Format:	rar	Language:	English	ISBN/ASIN:	3030370305
Pages:	640	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	12/19/2023 6:20:27 AM

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3030370305 rar
This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory'' at the ICMAT (Instituto de Ciencias Matemticas, Madrid) in 2014. The activity was aimed at understanding and deepening recent developments where Feynman and string amplitudes on the one hand, and periods and multiple zeta values on the other, have been at the heart of lively and fruitful interactions between theoretical physics and number theory over the past few decades.
In this book, the reader will find research papers as well as survey articles, including open problems, on the interface between number theory, quantum field theory and string theory, written by leading experts in the respective fields. Topics include, among others, elliptic periods viewed from both a mathematical and a physical standpoint  further relations between periods and high energy physics, including cluster algebras and renormalisation theory  multiple Eisenstein series and q-analogues of multiple zeta values (also in connection with renormalisation)  double shuffle and duality relations  alternative presentations of multiple zeta values using Ecalle's theory of moulds and arborification  a distribution formula for generalised complex and l-adic polylogarithms  Galois action on knots. Given its scope, the book offers a valuable resource for researchers and graduate students interested in topics related to both quantum field theory, in particular, scattering amplitudes, and number theory.
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Tags: Arithmetic December Field ICMAT Madrid Periods Quantum September Spain Theory

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Periods in Quantum Field Theory and Arithmetic: ICMAT, Madrid, Spain, September 15 December 19, 2014 (Springer Proceedings in Mathematics & Statistics, 314) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics