Higher teichmuller theory
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). 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 …
Higher teichmuller theory
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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 … 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.
WebInter-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 …
WebP.I.C. M.–2024 RiodeJaneiro,Vol.2(1031–1058) ANINVITATIONTOHIGHERTEICHMÜLLERTHEORY AW Abstract … 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 …
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...
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 ... northern football alliance leagueWebIn 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. 1. northern football league fixtureWebIn 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 … how to roast jalapeno peppers in ovenWebHigh 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。 northern football conferenceWebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ... northern footballWebtheory 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 … how to roast monkfish tailWeb31 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 ... northern football league nz