Inter Universal Teichmuller Theory
Before developing inter universal teichmuller theory mochizuki became well known for proving that hyperbolic curves which include for example elliptic curves with one point removed and the projective line with three points removed are anabelian varieties.
Inter universal teichmuller theory. The present paper is the rst in a series of four papers the. Active 2 years 11 months ago. Viewed 1k times 14. Shinichi mochizuki yuichiro hoshi ivan fesenko yuichiro taguchi.
Inter universal teichmuller theory i construction of hodge theaters shinichi mochizuki may2020 abstract. As part of the 600 page. Inter universal teichmuller theory and the field with one element. This workshop will differ from previous workshops on inter universal teichmueller theory in that it will be directed primarily toward advanced learners of the theory as well as researchers who.
This workshop will be directed primarily toward beginning learners of inter universal teichmueller theory who are nonetheless familiar with basic aspects of arithmetic geometry. In december of 2014 i was sent a photograph of a strange object which appeared in the sky over beechen cliff in bath. Inter universal teichmueller theory abbreviated as iut is the name given by mathematician shinichi mochizuki to a theory he developed in the 2000s following his earlier work in arithmetic geometryaccording to mochizuki it is an arithmetic version of teichmueller theory for number fields equipped with an elliptic curve. After eight years of debate japanese mathematician shinichi mochizuki has found a publisher for his mammoth undertakingthe inter universal teichmueller theory iut.
Go yamashita faq on inter universality ivan fesenko arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta functions european journal of mathematics september 2015 volume 1 issue 3 pp 405 440 publisher pdf. Shinichi mochizuki yuichiro hoshi ivan fesenko yuichiro taguchi. The theory was made public in a series of four preprints posted in. This morning i was looking at images for inter universal teichmuller theory.
Ask question asked 2 years 11 months ago. This workshop is one of four workshops of special rims year expanding horizons of inter universal teichmueller theory. This workshop is one of four workshops of special rims year expanding horizons of inter universal teichmueller theory. Inter universal teichmuller theory iv 5 this last example of the frobenius mutation and the associated core consti tuted by the etale site is of particular importance in the context of the present seriesofpapersinthatitformstheintuitiveprototypethatunderliesthetheory ofthevertical andhorizontallinesofthelog theta latticecf.
I discovered one particular image a sketch from someone at msri which contains a familiar looking geometry.
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