WebMar 18, 2002 · We develop a -adic version of the so-called Grothendieck-Teichmüller theory (which studies by means of its action on profinite braid groups or mapping class groups). For every place of , we give some geometrico-combinatorial descriptions of the local Galois group inside . Web7 rows · Jan 1, 1999 · Foundations of P-adic Teichmüller Theory. This book lays the foundation for a theory of ...
Construction of Arithmetic Teichmuller Spaces and some …
WebFrom the 1980's, Grothendieck's “Esquisse d'un Programme” triggered tremendous developments in number theory and arithmetic geometry, extending from the studies of anabelian geometry and related Galois representations to those of polylogarithms and multiple zeta values, motives, rational points on arithmetic varieties, and effectiveness … WebApr 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 … orchard bags
[1905.03368] Symplectic geometry of $p$-adic Teichmüller …
WebThere are 3 main ways to think about the p-adic numbers. I will go through them starting with the most elementary method. 1 : Example A p-adic number can be thought of as a base-pnumber where we allow digits to go in nitely far to the left. We can represent 1=3 as a 5-adic integer as follows :::1313132:0 = 1 3 2Z 5 WebThe item Foundations of p-adic Teichmüller theory, Shinichi Mochizuki represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found … WebMay 3, 2024 · The coefficients of $5^n$ added at each step are in turn $5^0\cdot2+5^1\cdot1+5^2\cdot2+5^3\cdot1+5^4\cdot3\ldots$ so I feel like this could be written as a base $5$ sequence $\ldots31212_5$ which looks a lot like a $5$-adic number. ips supply tulsa