´ THE ETALE THETA FUNCTION AND ITS FROBENIOID-THEORETIC MANIFESTATIONS Shinichi Mochizuki

Source URL: www.kurims.kyoto-u.ac.jp

THE GEOMETRY OF FROBENIOIDS II: POLY-FROBENIOIDS Shinichi Mochizuki June 2008

Source URL: www.kurims.kyoto-u.ac.jp

• Algebra
• Abstract algebra
• Mathematics
• Algebraic structures
• Semigroup theory
• Category theory
• Algebraic number theory
• Category
• Monoid
• Initial and terminal objects
• Frobenioid
• Functor

Frobenioids Frobenioids Weronika Czerniawska The Univeristy of Nottingham

Source URL: www.maths.nottingham.ac.uk

• Algebra
• Abstract algebra
• Mathematics
• Algebraic geometry
• Field theory
• Vector bundles
• Divisor
• Algebraic number field
• Frobenioid
• Constructible universe
• Valuation
• Homomorphism

MODEL FROBENIOIDS OREN BEN-BASSAT The following lecture notes were prepared for the IUT Theory of Shinichi Mochizuki conference to be held Monday, December 7, 2015 to Friday, December 11, 2015 at the Mathematical Institu

Source URL: www.maths.nottingham.ac.uk

• Algebraic geometry
• Frobenioid
• Number theory
• Divisor
• Differential geometry
• Semigroup theory
• Smooth functions
• Golden ratio base
• Pullback

Frobenioids 2 Frobenioids 2 Weronika Czerniawska The Univeristy of Nottingham

Source URL: www.maths.nottingham.ac.uk

• Semigroup theory
• Algebraic structures
• Algebraic geometry
• Frobenioid
• Number theory
• Homomorphism
• Monoid
• Divisor
• Structure
• Model theory
• Fiber bundle
• Free monoid

THE GEOMETRY OF FROBENIOIDS I: THE GENERAL THEORY Shinichi Mochizuki June 2008

Source URL: www.kurims.kyoto-u.ac.jp

• Algebraic structures
• Galois theory
• Algebraic number theory
• Algebraic geometry
• Symmetry
• Frobenioid
• Monoid
• Frobenius endomorphism
• Homomorphism
• Ring
• P-adic Hodge theory
• Category