Higher teichmuller theory

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August undefined, 2024

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 Web6 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。

The ABC Conjecture - Massachusetts Institute of Technology

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. … 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 … cullum laser and eye care williamsburg va

Teichmüller Theory and Applications to Geometry, Topology, and ...

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 … 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 … 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 … cullum publishing

Natural maps in higher Teichmüller theory

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 … 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, … cullum mansion carthage tnWebHigher Teichmuller Theory attempts to create an analogous theory of representations of hyperbolic groups into higher rank Lie groups, e.g. PSL(n;R). Much of this theory can … cullum owings

"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... " - Higher teichmuller theory

Higher teichmuller theory

Introduction to Teichmu¨ller Theory - UC Davis

Web25 de jan. de 2024 · This paper is a survey on the role of Higgs bundle theory in the study of higher Teichmuller spaces. Recall that the Teichmuller space of a compact surface can be identified with a certain connected component of the moduli space of representations of the fundamental group of the surface into $\mathrm {PSL} (2, {\mathbb {R}})$. 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 …

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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. 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 …

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 … 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.

Web31 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 ... 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 …

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 …

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. east hanes mill walmartWebtheory 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 … cullums contractsWeb5 de dez. de 2024 · Higher Teichmüller Theory (Introduction to Cluster Algebra) - YouTube MATH6150H - Introduction to Cluster Algebra (HKUST)Lecture #25 - Higher Teichmüller … east hanney chapelWebthat certain length functions arising in higher Teichmuller theory satisfy a Prime Geodesic Theorem analogous to that of Huber in the classical case. We also show that there are … east hanney british legionWebHodge-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. east hanney parish councilWebP.I.C. M.–2024 RiodeJaneiro,Vol.2(1031–1058) ANINVITATIONTOHIGHERTEICHMÜLLERTHEORY AW Abstract … cullum starr precision engineering limitedWebInter-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 … east hanney map