Stephen Rallis, the Glossary

Table of Contents

1. 27 relations: Automorphic form, Bennington, Vermont, Bertram Kostant, Classical group, David Soudry, Dihua Jiang, Erez Lapid, Gan–Gross–Prasad conjecture, Group representation, Harvard University, Hervé Jacquet, Ilya Piatetski-Shapiro, Institute for Advanced Study, International Congress of Mathematicians, Journal of Number Theory, Journal of the American Mathematical Society, Langlands program, Massachusetts Institute of Technology, Mathematics, Metaplectic group, Ohio State University, Siegel–Weil formula, Stephen Gelbart, Stephen S. Kudla, Stony Brook University, Theta correspondence, University of Strasbourg.

Automorphic form

In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G of the topological group.

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Bennington, Vermont

Bennington is a town in Bennington County, Vermont, United States.

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Bertram Kostant

Bertram Kostant (May 24, 1928 – February 2, 2017) was an American mathematician who worked in representation theory, differential geometry, and mathematical physics.

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Classical group

In mathematics, the classical groups are defined as the special linear groups over the reals \mathbb, the complex numbers \mathbb and the quaternions \mathbb together with special automorphism groups of symmetric or skew-symmetric bilinear forms and Hermitian or skew-Hermitian sesquilinear forms defined on real, complex and quaternionic finite-dimensional vector spaces.

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David Soudry

David Soudry (born 1956) is a professor of mathematics at Tel Aviv University working in number theory and automorphic forms.

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Dihua Jiang

Dihua Jiang (born 1958) is a Chinese-born American mathematician.

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Erez Lapid

Erez M. Lapid (born May 1971 in Tel Aviv) is an Israeli mathematician, specializing in automorphic forms, L-functions, representation theory, and the Selberg–Arthur trace formula.

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Gan–Gross–Prasad conjecture

In mathematics, the Gan–Gross–Prasad conjecture is a restriction problem in the representation theory of real or p-adic Lie groups posed by Gan Wee Teck, Benedict Gross, and Dipendra Prasad.

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Group representation

In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector space to itself (i.e. vector space automorphisms); in particular, they can be used to represent group elements as invertible matrices so that the group operation can be represented by matrix multiplication.

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Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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Hervé Jacquet

Hervé Jacquet is a French American mathematician, working in automorphic forms.

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Ilya Piatetski-Shapiro

Ilya Piatetski-Shapiro (Hebrew: איליה פיאטצקי-שפירו; Илья́ Ио́сифович Пяте́цкий-Шапи́ро; 30 March 1929 – 21 February 2009) was a Soviet-born Israeli mathematician.

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Institute for Advanced Study

The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey.

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International Congress of Mathematicians

The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.

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Journal of Number Theory

The Journal of Number Theory (JNT) is a monthly peer-reviewed scientific journal covering all aspects of number theory.

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Journal of the American Mathematical Society

The Journal of the American Mathematical Society (JAMS), is a quarterly peer-reviewed mathematical journal published by the American Mathematical Society.

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Langlands program

In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and consequential conjectures about connections between number theory and geometry.

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Massachusetts Institute of Technology

The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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In mathematics, the metaplectic group Mp2n is a double cover of the symplectic group Sp2n.

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Ohio State University

The Ohio State University (Ohio State or OSU) is a public land-grant research university in Columbus, Ohio, United States.

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Siegel–Weil formula

In mathematics, the Siegel–Weil formula, introduced by as an extension of the results of, expresses an Eisenstein series as a weighted average of theta series of lattices in a genus, where the weights are proportional to the inverse of the order of the automorphism group of the lattice.

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Stephen Gelbart

Stephen Samuel Gelbart (born June 12, 1946) is an American-Israeli mathematician who holds the Nicki and J. Ira Harris Professorial Chair in mathematics at the Weizmann Institute of Science in Israel.

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Stephen S. Kudla

Stephen S. Kudla (born 1950 Caracas, Venezuela) is an American mathematician working in arithmetic geometry and automorphic forms.

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Stony Brook University

Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public research university on Long Island in Stony Brook, New York.

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Theta correspondence

In mathematics, the theta correspondence or Howe correspondence is a mathematical relation between representations of two groups of a reductive dual pair.

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University of Strasbourg

The University of Strasbourg (Université de Strasbourg, Unistra) is a public research university located in Strasbourg, France, with over 52,000 students and 3,300 researchers.

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References

[1] https://en.wikipedia.org/wiki/Stephen_Rallis

Also known as Rallis, Stephen.