Higher teichmuller theory

Author: hbpd

August undefined, 2024

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 … WebGeometryInvited Lecture 5.11An invitation to higher Teichmüller theoryAnna Wienhard Abstract: Riemann surfaces are of fundamental importance in many areas of...

Arbeitsgemeinschaft: Higher Rank Teichmüller Theory

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 … 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 … inception old man

我的2024 - LIU Xiaolong’s Homepage

WebTeichmüller theory is the ever-expanding manual to this unique feature of mathematics. I'll indicate its broad lines in the next few paragraphs. The primary focus of Teichmüller theory is Riemann surfaces of finite topological type, thus surfaces with g handles, m punctures, and n holes, for some triple of non-negative integers (g,m,n). 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 … Web17 de mai. de 2024 · Handbook of Teichmüller Theory, Volume IV, 19, European Mathematical Society, pp.804-814, 2014, IRMA Lectures in Mathematics and Theoretical … income statement for babysitting application

Higher Complex Structures and Higher Teichmüller Theory

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, … 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 … income statement for a service companyWebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ... inception ok.ru

"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... " - Higher teichmuller theory

Higher teichmuller theory

Length asymptotics in higher Teichmüller theory

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. 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

Did you know?

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 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 ...

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 … Web19 de mar. de 2024 · The goal of this article is to invite the reader to get to know and to get involved into higher Teichmüller theory by describing some of its many facets. …

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... Webrally 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.

Web5 de dez. de 2024 · Higher Teichmüller Theory (Introduction to Cluster Algebra) - YouTube MATH6150H - Introduction to Cluster Algebra (HKUST)Lecture #25 - Higher Teichmüller …

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. inception one groupWebInter-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 … income statement for churches in excelWebOur 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 … inception on amazon primeWeb31 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. income statement for accountingWeb16 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 … inception on blu rayWebOur 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 … inception on netflix ukWebHigh 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。 income statement for church