Foundations of p-adic teichmuller theory
WebJun 8, 2024 · Hodge and Teichmüller. We consider the derivative of the projection from a stratum of Abelian or quadratic differentials to Teichmüller space. A closed one-form determines a relative cohomology class , which is a tangent vector to the stratum. We give an integral formula for the pairing of of with a cotangent vector to Teichmüller space (a ... Web[P(!)] ˆH1(X;R) which meets the unit sphere in a set of diameter O(e (K)T). Here the unit sphere and diameter are de ned using the Hodge norm on H1(X;R), and (K) >0 depends only on K. One can regard Theorem 1.2 as a quantitative re nement of Theorem 1.1. In the recurrent case we can take T = 1, [P(!)] reduces to a single
Foundations of p-adic teichmuller theory
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WebIn mathematics, p-adic Teichmüller theory describes the "uniformization" of p-adic curves and their moduli, generalizing the usual Teichmüller theory that describes the uniformization of Riemann surfaces and their moduli. It was introduced and developed by Shinichi Mochizuki (1996, 1999).The first problem is to reformulate the Fuchsian uniformization of … Webp-adic Teichm¨uller Theory by Shinichi Mochizuki The goal of the present manuscript is to provide an introduction to the theory of uniformization of p-adic hyperbolic curves and …
Weba possible link between p-adic Hodge theory for Gal(Q p/Q p) (or the Weil group of Q p) on the one side and the theory of p-adic and modulo p rep-resentations of GL 2(Q p) on the other side (not to mention GL n of a p-adic local field!). In other terms, to suggest hypothetic continuous p-adic and modulo p Langlands correspondences. http://www.numdam.org/item/AST_2002__278__1_0.pdf
WebFoundations of $p$-adic Teichmüller Theory Shinichi Mochizuki: Research Institute for the Mathematical Sciences, Kyoto, Japan A co-publication of the AMS and International … WebJun 21, 2024 · In this note I construct some categories which can be called Arithmetic Teichmuller Spaces. This construction is very broadly inspired by Shinichi Mochizuki's …
WebJan 6, 2014 · This book lays the foundation for a theory of uniformization of p-adic hyperbolic curves and their moduli. On one hand, this theory generalizes the Fuchsian …
In mathematics, p-adic Teichmüller theory describes the "uniformization" of p-adic curves and their moduli, generalizing the usual Teichmüller theory that describes the uniformization of Riemann surfaces and their moduli. It was introduced and developed by Shinichi Mochizuki (1996, 1999). The first problem is to reformulate the Fuchsian uniformization of a complex Riemann surface (an isomorphism from the upper half plane to a universal covering space of the surface) in a way th… hamish investments incWebThis book lays the foundation for a theory of uniformization of p-adic hyperbolic curves and their moduli. On one hand, this theory generalizes the Fuchsian and Bers … hamish investmentsWebFoundations of p-adic Teichm¨uller theory / Shinichi Mochizuki. p. cm. — (AMS/IP studies in advanced mathematics; v. 11) Includes bibliographical references and index. ISBN 0 … hamish inglisWebJan 6, 2014 · Foundations of $p$-adic Teichmuller Theory (AMS/IP Studies in Advanced Mathematics) This book lays the foundation for a theory of uniformization of $p$-adic … burn significadoWebThis work, which has been peer-reviewed and well received by the mathematical community, includes major contributions to anabelian geometry, and the development of … burnsim crackWebApr 19, 2024 · In "Foundations of p -adic Teichmüller theory", Mochizuki describes a theory one of whose goals (according to the author) is to generalize Fuchsian … burnsil ointmentWebMay 8, 2024 · The aim of the present paper is to provide a new aspect of the -adic Teichmüller theory established by S. Mochizuki. We study the symplectic geometry of … burnsies uptown gluten free