Search results with tag "Teichmuller"
宇宙際 Teichmuller 理論入門 (Introduction to Inter-universal ...
www.kurims.kyoto-u.ac.jp宇宙際Teichmuller 理論入門 (Introduction to Inter-universal Teichmuller Theory) By 星裕一郎(Yuichiro Hoshi) Abstract In the present article, we survey the inter-universal Teichmuller theory established by Shinichi Mochizuki. 目次 x0. 序 x1. 円分物 x2. フロベニオイドの円分剛性同型 x3. 宇宙際Teichmuller 理論に ...
Billiards and Teichmuller curves - Harvard University
people.math.harvard.eduBilliards and Teichmuller curves. McMullen24 October 2021AbstractA Teichmuller curve V Mg is an isometrically immersed al-gebraic curve in the. moduli space of Riemann surfaces. These rare, extremal objects are related to billiards in polygons, Hodge theory, algebr.
Introduction to Teichmuller¨ theory - IMJ-PRG
webusers.imj-prg.frThe Teichmuller¨ space of a surface Sis the deformation space of complex structures on S and can also be seen as a space of hyperbolic metrics on S. The aim of this course will be to study the geometry and topology of this space and its quotient: the moduli space of Riemann surfaces.
INTER-UNIVERSAL TEICHMULLER THEORY I:¨ …
www.kurims.kyoto-u.ac.jpINTER-UNIVERSAL TEICHMULLER THEORY I:¨ CONSTRUCTION OF HODGE THEATERS Shinichi Mochizuki May2020 Abstract. The present paper is …
INTER-UNIVERSAL TEICHMULLER THEORY IV:¨ LOG …
www.kurims.kyoto-u.ac.jpINTER-UNIVERSAL TEICHMULLER THEORY IV:¨ LOG-VOLUME COMPUTATIONS AND SET-THEORETIC FOUNDATIONS Shinichi Mochizuki March2019 Abstract ...
INTER-UNIVERSAL TEICHMULLER THEORY I:¨ …
www.kurims.kyoto-u.ac.jpINTER-UNIVERSAL TEICHMULLER THEORY I:¨ CONSTRUCTION OF HODGE THEATERS Shinichi Mochizuki June2018 Abstract. The present paper is the first in a series of four papers, the
2021-12-06 Explicit estimates in IUTeich
www.kurims.kyoto-u.ac.jpEXPLICIT ESTIMATES IN INTER-UNIVERSAL TEICHMULLER THEORY 5¨ conjectured in [Szp], §2 [i.e., the “forme forte” of loc. cit., where we note that the “p” to the right of the “ ” in the above display was apparently unintentionallyomittedinloc. cit.]. Corollary C. (Application to “Fermat’s Last Theorem”)Let p>1.615·1014 ...
TEICHMULLER THEORY AND HYPERBOLIZATION OF THREE …
math.uchicago.eduTeichmuller theory, and then demonstrate how Teichmuller theory paves the way for Thurston’s Hyperbolization Theorem, a remarkable theorem relating 3-manifold topology to hyperbolic geometry. The general Hyperbolization Theorem states that a compact, irreducible, atoroidal 3-manifold always admits a complete hyperbolic metric of nite volume.