Higher teichmuller theory
Web2.2. Higher rank Teichmuller theory. In recent years there has been considerable interest in generalising results in classical Teichmuller theory to what is now often referred to as … Web25 de jan. de 2024 · Higher Teichmüller spaces correspond to special components of the moduli space of representations when one replaces by a real non-compact semisimple Lie group of higher rank. Examples of these spaces are provided by the Hitchin components for split real groups, and maximal Toledo invariant components for groups of Hermitian type.
Higher teichmuller theory
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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- 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 …
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, … WebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...
WebAbstract. We show that certain length functions arising in higher Teichmull er theory satisfy a Prime Geodesic Theorem analogous to that of Huber in the classical case. We … 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 …
WebHodge-Arakelov Theory/Inter-universal Teichmüller Theory Mordell’s Conjecture Theorem (Faltings (1984)) Suppose that C is a nonsingular curve of genus g over a number field K. Then CpKqis finite. ABC Consequence Suppose the maximum quality of any abc-triple is known. Then we can find explicit bounds for the heights of points in CpKq.
Webalso 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 ... on time delivery clevelandWeb16 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 … ios or android more secureWebP.I.C. M.–2024 RiodeJaneiro,Vol.2(1031–1058) ANINVITATIONTOHIGHERTEICHMÜLLERTHEORY AW Abstract … on time delivery commentsWebIntroduction 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 … on time crunchWebFrom 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 … on time delivery benchmark by industryWebGeometryInvited Lecture 5.11An invitation to higher Teichmüller theoryAnna Wienhard Abstract: Riemann surfaces are of fundamental importance in many areas of... on time delivery cleveland ohioWebrally associated to appropriate representations ˆinto higher rank Lie groups, which are the basis of the relatively new area of higher Teichmuller theory. A suitable class of representations to study are those known as projective Anosov (see section 2). A simpli ed form of one of our main results is the following. Theorem 1.1. ios other linker flags