This volume uses quasiconformal mapping to give a unified and uptodate treatment of \tx\. Quantum teichmuller theory and representations of the pure. The theory was made public in a series of four preprints. Always update books hourly, if not looking, search in the book search column. Geometry of teichmuller space with the teichmuller metric. Teichmuller theory is one of those few wonderful subjects which bring together.
The ams bookstore is open, but rapid changes related to the spread of covid19 may cause delays in delivery services for print products. Flat structures and complex structures in teichmuller theory. Freeform surface construction in a commercial cadcam system. Volumes 2 through 4 prove four theorems by william thurston. Introduction to teichm\ uller theory and its applications to dynamics. Abstract we present a brief exposition of teichmuller s. Explicit estimates in interuniversal teichmuller theory. Explicit estimates in interuniversal teichmuller theory in progress joint work w i. In the sequel we always assume that closed curves are essential.
Teichmuller theory and mirror symmetry are very active domains. Superteichmuller spaces anton zeitlin outline introduction cast of characters coordinates on superteichmuller space n 2 superteichmuller theory further work open problems superteichmuller spaces and related structures anton m. Moduli spaces of local systems and higher teichmuller theory. This site is like a library, you could find million book here by using search box in the header. Flat structures and complex structures in teichmuller theory joshua p. This paper will take a brief look into the formulation of queuing theory along with examples of the models and applications of their use. Antonakoudis this is an introduction to the theory of conformal dynamical systems, riemann surfaces and their moduli spaces. He proposed a certain metric on the moduli space and conjectured it to be k. These notes were written for some expository talks on teichmuller theory, given. Introduction an orientation preserving homeomorphism ffrom a riemann surface x onto a riemann surface y is given. Chapter 1 the uniformization theorem chapter 2 plane hyperbolic geometry chapter 3 hyperbolic geometry of riemann surfaces chapter 4 quasiconformal maps and the mapping theorem chapter 5 preliminaries to teichmuller theory. Pdf quasiconformal maps and teichmuller theoryextremal. Buy teichmuller theory and applications to geometry, topology, and dynamics on. Introduction much of the theory of riemann surfaces boils down to the following theorem, the twodimensional equivalent of thurstons.
The classification of homeomorphisms of surfaces 2. Construction of hodge theaters shinichi mochizuki november 2015 abstract. Home teichmuller theory and related topics august 2426, 2018. This article presents a variation of the constructions of 2, 3 on the. Interuniversal teichmuller theory i construction of hodge theaters shinichi mochizuki april2020 abstract. Introduction to teichmuller theory and its applications to. Interuniversal teichmuller theory i interuniversal. His works inspired engineers, mathematicians to deal with queueing problems using. Emphasis is placed on parts of the theory applicable to noncompact surfaces and to surfaces possibly of infinite analytic type. Quasiconformal mappings and teichmuller s theorem by bers, lipman.
Thesis cornell university department of mathematics august 2009. Athanase papadopoulos teichmuller theory is one of those few wonderful subjects which bring together, at an equally important level, fundamental ideas coming from different. Towards a modular functor from quantum higher teichmuller theory gus schrader university of california, berkeley berkeley tokyo workshop on quantum field theory and subfactors november 18, 2016 gus schrader uc berkeley quantum higher teichmuller theory berkeley tokyo workshop on quantum field theory and subfactors november 18, 2016 1 19. Interuniversal teichmuller theory abbreviated as iut is the name given by mathematician. We construct a quantization of the teichmuller spaces of super riemann surfaces, using coordinates associated to the ideal triangulations of super riemann surfaces. Riemann surfaces and teichmuller theory l24 stergios m. Our approach is based on ideas that come from teichmuller and moduli space of closed riemann surfaces theory, and the problem of finding a canonical and explicit cell. Gardiner and jun hu winter, 2005, hri, allahabad, india.
Porowski arata minamide rims, kyoto university november 2, 2018 arata minamide rims, kyoto university explicits estimates in iutch november 2, 2018 1 21. The mantra is studying objects in families gives important information about the individual objects. Queuing theory is a branch of mathematics that studies and models the act of waiting in lines. What is a good introduction to teichmuller theory, mapping class groups etc. Teichmuller theory mathematisches institut uni bonn. Introduction to teichmuller theory, old and new ems publishing.
Teichmuller theory and applications volume 1 pdf free download. Introduction to interuniversal teichmuller theory fucheng tan rims, kyoto university 2018 1. A more algebrogeometric approach to lusztigs total positivity has been developed by fock and goncharov 17, and applied in the context of. Gardiner and jun hu proceedings of the year on teichmuller theory hri, allahabad, volume 10, 2009, pages 195228 abstract we present a brief exposition of teichmullers theorem. However, we prove that in dimensions two or more there are no holomorphic isometric immersions between teichmuller spaces and bounded symmetric domains and also prove a similar result for isometric submersions. A theory provides a general explanation for observations made over time, explains and predicts behavior, can never be established beyond all doubt, and may be modified.
All books are in clear copy here, and all files are secure so dont worry about it. From the 1980s, grothendiecks esquisse dun programme triggered tremendous developments in number theory and arithmetic geometry, extending from the studies of anabelian geometry and related galois representations to those of polylogarithms and multiple zeta values, motives, rational points on arithmetic varieties, and effectiveness. Quasiconformal mappings and teichmullers theorem by bers, lipman. Submitted on 10 nov 2003 v1, last revised 29 apr 2006 this. We consider classical teichmuller theory and the geodesic flow on the cotangent bundle of the teichmuller space. Ill indicate its broad lines in the next few paragraphs. Get your kindle here, or download a free kindle reading app. Irma lectures in mathematics and theoretical physics v, olume 19. See, for example, kiran kedlayas lecture at the 2015 conference on interuniversal teichmuller theory at oxford. Parametrised databases of surfaces based on teichmuller theory.
Reliable information about the coronavirus covid19 is available from the world health organization current situation, international travel. Teichmuller theory in riemannian geometry anthony tromba. There are more than 1 million books that have been enjoyed by people from all over the world. A brief tour of grothendieckteichmuller theory daniel miller september 2, 2014 everything in this brief note is inspired by grothendiecks revolutionary letter gro97.
Whether youve loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. For its quantization we use an approach, similar to the quantized calculus of connes and sullivan. Courant institute of mathematical sciences, new york university. Teichmuller theory the graduate center, fall 2015 the course is as an introduction to some aspects of teichmuller theory.
Other readers will always be interested in your opinion of the books youve read. Shinichi 2012a, interuniversal teichmuller theory i. Reading iut to my limited experiences, the following seem to be an option for people who wish to get to know iut without spending too much time on all the details. Quantum teichmuller theory and representations of the pure braid group by francis bonahon. Teichmuller theory and the teichmuller metric, the \classical applications of teichmuller theory to rational maps and kleinian groups, and my own work, in part with mikhail lyubich, on the asymptotic theory of moduli and its applications to conformal dynamical systems. The arithmetic of elliptic curves and advanced topics in the arithmetic of elliptic curves by joseph silverman. A road to interuniversal teichmuller theory mathoverflow. The goal of the paper is to provide the reader with enough background in order to prop. Handbook of teichmuller theory irma lectures in mathematics and theoretical physics 9783037191033. This course was a prequel to the 19931994 course on thurstons hyperbolization. Zeitlin louisiana state university, department of mathematics columbia university new york february 1, 2019. Teichmuller spaces of riemann surfaces, moduli spaces and modular groups. Oclcs webjunction has pulled together information and resources to assist library staff as they consider how to handle.
The second of four volumes devoted to teichmuller theory and its applications to geometry, topology, and dynamics, this volume proves two theorems by william thurston. An introduction to teichmuller theory notes from a course given by dick canary, fall 2015 november 23, 2015 1 an overview of hyperbolic geometry 1. Complex structures, jacobians and the weil petersson form 31 lecture 4. Since the correspondence is given by the uniformization theorem, there are rarely exact formulae and one often has to rely on estimates in making comparisons. Teichmuller theory and applications to geometry, topology, and. Teichmuller space encodes the possible number of ways in which you can deform complex structure on a space. Dynamical aspects of teichmuller theory sl2,raction on. Get ebooks handbook of teichm ller theory on pdf, epub, tuebl, mobi and audiobook for free. We will also discuss basic hyperbolic geometry of the hyperbolic plane and hyperbolic three space. The quantization of the teichmuller spaces of riemann surfaces has found important applications to conformal eld theory and n 2 supersymmetric gauge theories.
It consists of current research on teichmuller dynamics. Prerequisites are the rst year courses in real and complex analysis, or the. In the case of a surface with one puncture, the fundamental group is a free. Conference teichmuller theory in higher dimension and mirror. Petersson had already considered the corresponding inner product in the context of automorphic forms. It is based on a course i taught at university of utah in 19921993. Download fulltext pdf quasiconformal maps and teichmuller theoryextremal mappings, overview article pdf available in bulletin classe des sciences mathematiques et natturalles 14538. Numerous and frequentlyupdated resource results are available from this search.