Low Dimensional Topology and Number Theory: Fukuoka, Japan, March 1518, 2022. In Memory of Professor Toshie Takata | Agenda Bookshop Skip to content
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B01=Hiroaki Nakamura
B01=Jun Ueki
B01=Masanori Morishita
Category1=Non-Fiction
Category=PBH
Category=PBP
COP=Singapore
Delivery_Pre-order
Language_English
PA=Not yet available
Price_€100 and above
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Low Dimensional Topology and Number Theory: Fukuoka, Japan, March 1518, 2022. In Memory of Professor Toshie Takata

English

This book is the result of research initiatives formed during the workshop Low Dimensional Topology and Number Theory XIII at Kyushu University in 2022. It is also dedicated to the memory of Professor Toshie Takata, who has been a main figure of the session chairs for the series of annual workshops since 2009.

The activity was aimed at understanding and deepening recent developments of lively and fruitful interactions between low-dimensional topology and number theory over the past decades.

In this volume of proceedings, the reader will find research papers as well as survey articles, including open problems, at the interface between classical and quantum topology, and algebraic and analytic number theory,  written by leading experts and active researchers in the respective fields.

Topics include, among others, the strong slope conjecture; KashiwaraVergne Lie algebra; braids and bered double branched covers of 3-manifolds; TemperleyLiebJones category andconformal blocks; WRT invariants and false theta functions; the colored Jones polynomial of the gure-eight knot; potential functions and A-polynomials; l-adic Galois polylogarithms; DijkgraafWitten invariants in Bloch groups; analogies between knots and primes in arithmetic topology; normalized Jones polynomials for rational links; Iwasawa main conjecture; Webers class number problem.

The book provides a valuable resource for researchers and graduate students interested in topics related to both low-dimensional topology and number theory.


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Current price €183.34
Original price €192.99
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Age Group_Uncategorizedautomatic-updateB01=Hiroaki NakamuraB01=Jun UekiB01=Masanori MorishitaCategory1=Non-FictionCategory=PBHCategory=PBPCOP=SingaporeDelivery_Pre-orderLanguage_EnglishPA=Not yet availablePrice_€100 and abovePS=Forthcomingsoftlaunch

Will deliver when available. Publication date 05 Feb 2025

Product Details
  • Dimensions: 155 x 235mm
  • Publication Date: 05 Feb 2025
  • Publisher: Springer Verlag Singapore
  • Publication City/Country: Singapore
  • Language: English
  • ISBN13: 9789819737772

About

Masanori Morishita is professor of mathematics at Kyushu University Fukuoka Japan. He is one of the primary pioneers who established Arithmetic Topology-- a new branch of mathematics which is focused upon the analogy between knot theory and number theory. He authored the first systematic treatment of the subject in the book Knots and Primes (Universitext) published from Springer in 2012. Since 2009 he has organized a series of international annual meetings Low dimensional topology and number theory that enhances the community of mathematicians in the world who contribute to the active frontiers of the promising area interacting with topology and number theory. Hiroaki Nakamura is professor of mathematics at Osaka University Osaka Japan. He is a world-leading figure in anabelian geometry and Galois-Teichmüller theory in arithmetic algebraic geometry. He is known as the first person who made a break-through on Grothendieck's conjecture in anabelian geometry by solving it in the case of genus 0 and he was awarded Autumn Prize of the Mathematical Society of Japan. His outstanding contributions to mathematics are cross over number theory algebraic geometry and topology. He is also an organizer of the international annual meetings Low dimensional topology and number theory and is enrolled in the scientific committee of LPP-RIMS Arithmetic and Homotopic Galois Theory- CNRS France-Japan International Research Network.   Jun Ueki is a senior lecturer of mathematics at Ochanomizu University Tokyo Japan.   He is an active researcher who is leading the young generation in arithmetic topology. He made a pioneering contribution on a topological idelic theory for 3-manifolds and his notable works range over arithmetic topology of branched covers of 3-manifolds in connection with Iwasawa theory the profinite rigidity of twisted Alexander invariants and modular knots. He is also an organizer of the international annual meetings Low dimensional topology and number theory. 

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