NOTES ON MODULAR REPRESENTATIONS OF p-ADIC GROUPS, AND THE LANGLANDS CORRESPONDENCE DIPENDRA PRASAD These are expanded notes of some lectures given by the author for a workshop held at the Indian Statistical Institute, B

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• Automorphic forms
• Conjectures
• Number theory
• Representation theory of finite groups
• Deligne–Lusztig theory
• Local Langlands conjectures
• Admissible representation
• Induced representation
• Weight
• Abstract algebra
• Representation theory of Lie groups
• Representation theory

A NUMERICAL INVARIANT FOR LINEAR REPRESENTATIONS OF FINITE GROUPS NIKITA A. KARPENKO AND ZINOVY REICHSTEIN Abstract. We study the notion of essential dimension for a linear representation of a finite group. In characteri

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• Representation theory of finite groups
• Character theory
• Essential dimension
• Representation theory
• Field extension
• Group ring
• Modular representation theory
• Representation theory of Lie groups
• Zonal spherical function
• Abstract algebra
• Algebra
• Harmonic analysis

Mathematics Subject Classification 2000 Mathematics Subject Classification[removed]MSC2000) This is a completely revised version of the MSC, prepared collaboratively in the editorial offices of MR and Zentralblatt MATH. It

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• Field theory
• Algebraic structures
• Fields of mathematics
• Lattice theory
• Number theory
• Representation theory
• Areas of mathematics
• Distributive lattice
• Modular form
• Abstract algebra
• Mathematics
• Algebra

Mathematics Subject Classification 2000 Mathematics Subject Classification[removed]MSC2000) This is a completely revised version of the MSC, prepared collaboratively in the editorial offices of MR and Zentralblatt MATH. It

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• Field theory
• Algebraic structures
• Fields of mathematics
• Lattice theory
• Number theory
• Representation theory
• Areas of mathematics
• Distributive lattice
• Modular form
• Abstract algebra
• Mathematics
• Algebra

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 14, Number 4, Pages 843–939 S[removed][removed]Article electronically published on May 15, 2001

Source URL: math.stanford.edu

• Modular forms
• Galois theory
• Algebraic number theory
• Character theory
• J-invariant
• Frobenius endomorphism
• Elliptic curve
• Representation theory of finite groups
• Orbifold
• Abstract algebra
• Mathematical analysis
• Analytic number theory

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• Finite fields
• Modular representation theory
• Address

Automorphic forms on Os+2,2 (R)+ and generalized Kac-Moody algebras. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Z¨ urich, 1994), 744–752, Birkh¨auser, Basel, 1995. Richard E. Borcherds *

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• Lie algebras
• Modular forms
• Elliptic functions
• Moonshine theory
• Q-analogs
• J-invariant
• Monster Lie algebra
• Generalized Kac–Moody algebra
• Representation theory
• Abstract algebra
• Mathematical analysis
• Mathematics

The Fourier-Jacobi Map and Small Representations A thesis presented by Martin Hillel Weissman

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• Complex analysis
• Analytic number theory
• Theta function
• Siegel modular form
• Representation theory
• Quadratic form
• Modular group
• Fourier series
• Hecke operator
• Mathematical analysis
• Mathematics
• Modular forms

Contemporary Mathematics Gauss Sum Combinatorics and Metaplectic Eisenstein Series Ben Brubaker, Daniel Bump, and Solomon Friedberg It is a great pleasure to dedicate this paper to Steve Gelbart, who was one of the

Source URL: sporadic.stanford.edu

• Modular form
• Moduli theory
• Mathematics
• Representation theory of Lie groups
• Representation theory
• Mathematical analysis
• Abstract algebra
• Analytic number theory

RECIPROCITY LAWS. FROM EULER TO EISENSTEIN REVIEWER P. SHIU Fermat found that primes p ≡ 1 (mod 4) are sums of two squares, and Euler went on to investigate the representation of primes using more general quadratic for

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• Algebraic number theory
• Modular arithmetic
• Quadratic residue
• Mental calculators
• Disquisitiones Arithmeticae
• Quadratic reciprocity
• Reciprocity law
• Legendre symbol
• Class field theory
• Mathematics
• Abstract algebra
• Number theory