Higher teichmuller theory
Web23 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 … WebP.I.C. M.–2024 RiodeJaneiro,Vol.2(1031–1058) ANINVITATIONTOHIGHERTEICHMÜLLERTHEORY AW Abstract …
Higher teichmuller theory
Did you know?
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 ... Web31 de jul. de 2024 · Teichmüller’s Theorem Roughly speaking, Teichmüller’s theorem states that a ring in \mathbb {R}^2=\mathbb {C} with large enough modulus should contain an annular ring of equal modulus up to a bounded term. There are various versions of results of a similar nature.
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 … 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 …
WebIt reviews historical and recent advances in observations, measurements, theory and simulations of the inner magnetosphere and its coupling to the ionosphere and other ... Order and Higher Degree Equations Solvable for x, y and p, Clairaut's Form and Singular ... Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow - Mar 31 2024 WebHigh dimensional expanders – Alexander Lubotzky – ICM2024是ICM 2024 Plenary Lectures (一小时专场）的第13集视频，该合集共计21集，视频收藏或关注UP主，及时了解更多相关视频内容。
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 …
Web8 de mai. de 2024 · This simplifies some of the proofs in that paper, and also allows one to quantize higher Teichmuller space, which was previously only possible when G was of … dutch ancestorsWeb17 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- dvd software copyWebLENGTH 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 … dvd software copierWebtheory 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 … dvd software copy freeWeb2 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. dutch anchorWebI 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... dvd software for macintoshWeb14 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 … dutch and auztralian police stop child ring