Higher teichmuller theory
Web10 de nov. de 2003 · Their positive real points provide the two higher Teichmuller spaces related to G and S, while the points with values in the tropical semifields provide the … 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 …
Higher teichmuller theory
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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 … WebLENGTH ASYMPTOTICS IN HIGHER TEICHMULLER THEORY 3 The standard presentation of ˇ 1(S) of a surface of genus ghas generators a i, b i, where 1 i gand a relation Q 4 i=1 [a i;b i] = I. Starting from the canonical representation of a surface group ˇ 1(S) !SL(2;R) !SL(3;R) in Example 2.1 we can make a perturbation within the Hitchin …
Webtheory 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 … WebTeichmüller Theory, Hyperbolicity and Dynamics - Misha Belolipetsky - YouTube 0:00 / 1:16:17 Teichmüller Theory, Hyperbolicity and Dynamics - Misha Belolipetsky Instituto de Matemática Pura e...
WebFrom 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 … 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, generalizing the complex structure, and we...
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 …
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, … grand rapids minnesota walmartWebInter-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 … chinese new year orangesWebalso note that quadratic di erentials without higher order poles, the case considered here, are more interesting from the point of view of at geometry/ergodic theory. For example, a generic geodesic with respect to the (at) metric j’jconverges to a higher order pole of ’, should one exist, but winds around densely on the surface if there ... grand rapids mi photographyWeb17 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- grand rapids mi pressure washingWeb31 de mai. de 2024 · Arbeitsgemeinschaft: Higher Rank Teichmüller Theory. 9 Oct - 14 Oct 2024 ID: 2241. Organizers Fanny Kassel, Bures-sur-Yvette Beatrice Pozzetti, Heidelberg Andres Sambarino, Paris Anna Wienhard, Heidelberg Poster Poster-2241.pdf (Deadline for appl.: 31 May 2024) Programme ... grand rapids mi public worksWeb14 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 … grand rapids mi ordinancesWeb2 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. grand rapids mi population 2023