SERRE’S MODULARITY CONJECTURE (I) CHANDRASHEKHAR KHARE AND JEAN-PIERRE WINTENBERGER to Jean-Pierre Serre Abstract. This paper is the first part of a work which proves Serre’s modularity conjecture. We first prove the

Source URL: www-irma.u-strasbg.fr

• Field theory
• Galois theory
• Representation theory
• Class field theory
• Galois module
• Algebraic number field
• Finite field
• Group representation
• Prime number
• Abstract algebra
• Algebra
• Algebraic number theory

CMI AMS The Millennium Prize Problems were selected by the founding Scientific Advisory Board of CMI—Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten—after consulting with other leading mathematicians.

Source URL: www2.maths.ox.ac.uk

• Conjectures
• Clay Mathematics Institute
• Fields Medalists
• Number theorists
• Riemann hypothesis
• Andrew Wiles
• Birch and Swinnerton-Dyer conjecture
• Arthur Jaffe
• Enrico Bombieri
• Mathematics
• Mysteries
• Millennium Prize Problems

RAMIFICATION IN IWASAWA MODULES CHANDRASHEKHAR KHARE AND JEAN-PIERRE WINTENBERGER Abstract. We make a reciprocity conjecture that extends Iwasawa’s analogy of direct limits of class groups along the cyclotomic tower of

Source URL: www-irma.u-strasbg.fr

• Algebraic number field
• Iwasawa theory
• Finite field
• Torsion
• Galois group
• Field
• Valuation
• Elliptic curve
• Inverse Galois problem
• Abstract algebra
• Algebra
• Field theory

Math[removed]Week 6 Recitation (Fall[removed]Each of the following sequences is given in explicit form. For each sequence, write the first five terms of the sequence, and determine the limit, if it exists. (a) an =

Source URL: mixedmath.files.wordpress.com

• Summation
• Mathematical series
• Collatz conjecture
• Fibonacci number
• Limit superior and limit inferior
• Mathematics
• Number theory
• Sequence

William A. Stein[removed]Curriculum Vitae – April 2013 ·

Source URL: boxen.math.washington.edu

• Number theory
• Diophantine geometry
• Elliptic curves
• Analytic number theory
• Abelian varieties
• Tate–Shafarevich group
• Birch and Swinnerton-Dyer conjecture
• Heegner point
• Peter Swinnerton-Dyer
• Mathematics
• Abstract algebra
• Algebraic geometry

On Ruckle’s conjecture on accumulation games Steve Alpern1, Robbert Fokkink2, Ken Kikuta3 1 London School of Economics, Department of Applied Mathematics, Houghton Street, London WC2A 2AE, UK

Source URL: www.cdam.lse.ac.uk

• Lemmas
• Combinatorics
• Mathematics
• Theoretical computer science
• Graph theory

Original Rota’s basis conjecture   for sparse paving matroids  Wojciech Lubawski  Theoretical Computer Science Department, UJ Kraków  [removed] 

Source URL: www.staff.amu.edu.pl

Journal de Th´eorie des Nombres de Bordeaux 00 (XXXX), 000–000 Thomas’ conjecture over Function Fields par Volker Ziegler‡ ´sume

Source URL: finanz.math.tu-graz.ac.at

• Operator theory
• Ordinary differential equations
• Symbol
• Spectral theory
• Constructible universe

Seshadri constants via Okounkov functions and the Segre-Harbourne-Gimigliano-Hirschowitz Conjecture M. Dumnicki, A. K¨ uronya∗, C. Maclean, T. Szemberg† arXiv:1304.0249v1 [math.AG] 31 Mar 2013

Source URL: arxiv.org

• Vector bundles
• Measure theory
• Calculus
• Ample line bundle
• Seshadri constant
• Support
• Divisor
• Blowing up
• Linear system of divisors
• Algebraic geometry
• Abstract algebra
• Mathematical analysis

MARIO E. CHAUMETI ISSN 2314-128X the deductions are inferred from legal norms, values or constitutional principles. Regarding the legislative conjecture, the present paper only pretends to probe the

Source URL: www.centrodefilosofia.org.ar