Cohomology of topological groups with applications to the Weil group M. Flach Abstract We establish various properties of the definition of cohomology of topological groups given by Grothendieck, Artin and Verdier in SGA

Source URL: www.math.caltech.edu

• Homological algebra
• Algebraic topology
• Sheaf theory
• Additive categories
• Cohomology theories
• Group cohomology
• Sheaf
• Topos
• Étale cohomology
• Abstract algebra
• Category theory
• Algebra

Chapter 8 Factoring of Prime Ideals in Galois Extensions 8.1

Source URL: www.math.uiuc.edu

• Algebraic number theory
• Field theory
• Splitting of prime ideals in Galois extensions
• Artin reciprocity law
• Frobenius endomorphism
• Field
• Galois group
• Fundamental theorem of Galois theory
• Proofs of quadratic reciprocity
• Abstract algebra
• Algebra
• Galois theory

ON THE AVERAGE NUMBER OF OCTAHEDRAL NEWFORMS OF PRIME LEVEL MANJUL BHARGAVA AND EKNATH GHATE Abstract. We show that, on average, the number of octahedral newforms of prime level is bounded by a constant.

Source URL: www.math.tifr.res.in

• Artin L-function
• Class field theory
• Algebraic number theory
• Algebraic number field
• Group
• Representation theory of finite groups
• Abstract algebra
• Algebra
• Mathematics

ON THE GLOBAL ROOT NUMBERS OF GL(n) × GL(m) DIPENDRA PRASAD AND DINAKAR RAMAKRISHNAN To Professor G. Shimura 1. Introduction Let F be a number field, n, m ≥ 1, and π = ⊗0v πv , π 0 = ⊗0v πv0 cuspidal, unitary

Source URL: www.math.tifr.res.in

• Automorphic forms
• Class field theory
• Representation theory of Lie groups
• Conjectures
• Langlands program
• Local Langlands conjectures
• Cuspidal representation
• Weil group
• Artin L-function
• Abstract algebra
• Algebra
• Mathematics

ARTIN GROUPS, 3-MANIFOLDS AND COHERENCE C. MCA. GORDON* Dedicated to Fico on the occasion of his 60th birthday. 1. Introduction. By a labeled graph we shall mean a finite (non-empty) graph Γ, without loops or multiple

Source URL: www.ma.utexas.edu

• Homotopy theory
• Fundamental group
• Quotient group
• Abstract algebra
• Group theory
• Algebraic topology

Surface subgroups of Coxeter and Artin groups. C. McA. Gordon∗, D. D. Long† & A. W. Reid‡ August 11, 2003 Abstract We prove that any Coxeter group that is not virtually free contains a surface group. In

Source URL: www.ma.utexas.edu

• Geometric group theory
• Coxeter group
• Orbifold
• Hyperbolic group
• Artin group
• Coxeter–Dynkin diagram
• Fundamental group
• Stallings theorem about ends of groups
• Train track map
• Abstract algebra
• Geometry
• Group theory

THE GROUP OF PARENTHESIZED BRAIDS PATRICK DEHORNOY Abstract. We investigate a group B• that includes Artin’s braid group B∞ and Thompson’s group F . The elements of B• are represented by braids diagrams in whic

Source URL: www.math.unicaen.fr

• Algebra
• Group theory
• Combinatorics on words
• Diagrams
• Braid group
• Braid theory
• Presentation of a group
• Van Kampen diagram
• Reidemeister move
• Abstract algebra
• Knot theory
• Mathematics

ENTITY AUTHENTICATION SCHEMES USING BRAID WORD REDUCTION ´ SIBERT, PATRICK DEHORNOY, AND MARC GIRAULT HERVE Abstract. Artin’s braid groups currently provide a promising background for cryptographical applications, sin

Source URL: www.math.unicaen.fr

• Algebra
• Group theory
• Finite fields
• Ropework
• Cryptographic protocols
• Braid group
• Braid theory
• XTR
• Braid
• Abstract algebra
• Cryptography
• Knot theory

LECTURE 1. ARITHMETIC OF ARTIN REPRESENTATIONS Abstract: The field Q Ą Q of algebraic numbers and its group G of symmetries occupy pride of place among the structures that number theorists seek to elucidate. It is by no

Source URL: www.math.mcmaster.ca

Coxeter groups and Artin groups Day 1: Polytopes and Reflection Groups

Source URL: www.math.ucsb.edu

• Regular Polytopes
• Reflection group
• Uniform polytope
• Schläfli symbol
• Geometry
• Polytopes
• Coxeter group