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Higher teichmuller theory

Webhigher Teichmuller spaces and classical Teichmu ller space. In addition, a number of phenomena have been observed that occur only in higher rank. An excellent … WebOur higher Teichmüller spaces will be spaces of Anosov representations of a word-hyperbolic group into a semi-simple Lie group. We begin by discussing our construction in the classical setting of the Teichmüller space of a closed orientable surface of genus at least 2, then we explain the construction for Hitchin components and finally we treat the …

Introduction to Teichmu¨ller Theory - UC Davis

Web10 de jun. de 2024 · In this PhD thesis, we give a new geometric approach to higher Teichmüller theory. In particular we construct a geometric structure on surfaces, … WebIn mathematics, the Teichmüller space of a (real) topological (or differential) surface , is a space that parametrizes complex structures on up to the action of … green blue brown resistor https://jpmfa.com

ZETA FUNCTIONS IN HIGHER TEICHMULLER THEORY - Warwick

WebTheir positive real points provide the two higher Teichmüller spaces related to G and S, while the points with values in the tropical semifields provide the lamination spaces. We … WebIntroduction to Teichmu¨ller Theory Michael Kapovich August 31, 2008 1 Introduction This set of notes contains basic material on Riemann surfaces, Teichmu¨ller spaces and … Web2 de out. de 2013 · In this note, we recover a recent result of Sambarino by showing that certain length functions arising in higher Teichm¨uller theory satisfy a prime geodesic theorem analogous to that of Huber in the classical case. We also show that there are more sophisticated distributional and limiting results. flowers out of tissue paper easy

LENGTH ASYMPTOTICS IN HIGHER TEICHM ULLER THEORY

Category:An introduction to higher Teichmuller Theory - D. Canary

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Higher teichmuller theory

Natural maps in higher Teichmüller theory

WebI was a PhD student at Université de Paris-Sud between 2010-2014, under the direction of Prof. François Labourie. Research Interests Higher Teichmuller theory: low dimensional topology, and... Web5 de dez. de 2024 · Higher Teichmüller Theory (Introduction to Cluster Algebra) - YouTube MATH6150H - Introduction to Cluster Algebra (HKUST)Lecture #25 - Higher Teichmüller …

Higher teichmuller theory

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Web15 de ago. de 2024 · Galois-Teichmuller theory tries to understand the absolute Galois group Gal ( Q ¯ / Q) in terms of the automorphisms of the "Teichmuller tower", which is constructed as follows. We begin with the moduli stacks of curves with genus g and ν marked points. These moduli stacks M g, ν have homomorphisms to each other, which … WebP.I.C. M.–2024 RiodeJaneiro,Vol.2(1031–1058) ANINVITATIONTOHIGHERTEICHMÜLLERTHEORY AW Abstract …

WebGus Schrader (UC Berkeley) Quantum higher Teichmuller theory Berkeley { Tokyo Workshop on Quantum Field Theory and Subfactors November 18, 2016 17 / 19. Towards a modular functor? We see this as rst step towards constructing an in nite dimensional analog of a modular functor from the quantization of higher Teichmuller Web17 de ago. de 2007 · 4. Teichmuller Space 4 5. Fenchel-Nielsen Coordinates 6 References 9 1. Introduction Much of the theory of Riemann surfaces boils down to the following theorem, the two-dimensional equivalent of Thurston’s geometrization conjecture: Proposition 1.1 (Uniformization theorem). Every simply connected Riemann sur-

Web16 de abr. de 2010 · Higher Teichmüller Spaces: from SL (2,R) to other Lie groups Marc Burger, Alessandra Iozzi, Anna Wienhard The first part of this paper surveys several … Web14 de nov. de 2003 · Interesting examples of cluster ensembles are provided the higher Teichmuller theory, that is by the pair of moduli spaces corresponding to a split …

WebInter-universal Teichmüller theory (abbreviated as IUT or IUTT) is the name given by mathematician Shinichi Mochizuki to a theory he developed in the 2000s, following his …

WebIn this PhD thesis, we give a new geometric approach to higher Teichmuller theory. In particular we construct a geometric structure on surfaces, generalizing the complex structure, and we explore its link to Hitchin components. The construction of this structure, called higher complex structure, uses the punctual Hilbert scheme of the plane. Its … flowers outside palace for dianaWebtheory with many interesting relations to other areas in mathematics as well as to problems in theoretical physics [18, 1, 36]. A more algebro-geometric approach to Lusztig’s total … flowers over internetWebFrom the 1980's, Grothendieck's “Esquisse d'un 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 … flowers outside windowWeb23 de mai. de 2016 · These include (but not limited to) the role of virtually special groups, representations of Kleinian groups in SL(2,C) and generalizations (e.g. Higher Teichmuller Theory), the Mapping Class Group and its recent role in low dimensional geometry and topology and group theoretic connections with Heegaard Floer theory through left … flowers over the wall diet bible studyWeb6 de dez. de 2024 · 我的2024. Published: December 06, 2024 山穷水复疑无路，柳暗花明又一村。——记我的2024 . 逝者如斯夫，不舍昼夜。转眼间2024即将过去，令人感慨万分。 green blue colorWebIn this note, we recover a recent result of Sambarino by showing that certain length functions arising in higher Teichm¨uller theory satisfy a prime geodesic theorem analogous to that of Huber in the classical case. We also show that there are more sophisticated distributional and limiting results. 1. flowers outside windsor castleWebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ... green blue colour blind