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 … Web2.2. 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 …

TEICHMULLER SPACE - University of Chicago

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 … 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. easiest tech skills to learn

An invitation to 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 … 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. ct wcc mileage