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83 relations: Abel Prize, Albert Einstein, American Mathematical Society, Americans, Andrew Wiles, Atle Selberg, Automorphic form, Bill Casselman (mathematician), British Columbia, Cahit Arf, Canada, Canadians, Class field theory, Cole Prize, Diana Shelstad, Edward Frenkel, Eisenstein series, Emeritus, Emil Artin, Endoscopic group, Erich Hecke, Fellow of the Royal Society, Fellow of the Royal Society of Canada, Fermat's Last Theorem, Functional equation (L-function), Galois group, General linear group, Goro Shimura, Group of Lie type, Hans Maass, Harish-Chandra, Hasse–Weil zeta function, Hervé Jacquet, Holomorphic function, Institute for Advanced Study, Jacquet–Langlands correspondence, James Arthur (mathematician), Jeffery–Williams Prize, L-function, Langlands classification, Langlands decomposition, Langlands dual group, Langlands group, Langlands program, Langlands–Deligne local constant, Leroy P. Steele Prize, Lie group, Martin Eichler, Mathematics, Meromorphic function, ..., Middle East Technical University, Modularity theorem, Multiplicative group, NAS Award in Mathematics, National Academy of Sciences, Nemmers Prize in Mathematics, New Westminster, Number theory, Percolation, Physics, Princeton University, Professor, Quaternion algebra, Representation theory, Richard Taylor (mathematician), Royal Society, Royal Society of Canada, Science (journal), Selberg trace formula, Semigroup, Shaw Prize, Shimura variety, Spectral geometry, Thomas Callister Hales, Toronto Star, Turkey, Université Laval, University of British Columbia, Upper half-plane, Weil's conjecture on Tamagawa numbers, White Rock, British Columbia, Wolf Prize, Yale University. Expand index (33 more) »
Abel Prize
The Abel Prize (Abelprisen) is a Norwegian prize awarded annually by the Government of Norway to one or more outstanding mathematicians.
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Albert Einstein
Albert Einstein (14 March 1879 – 18 April 1955) was a German-born theoretical physicist who developed the theory of relativity, one of the two pillars of modern physics (alongside quantum mechanics).
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
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Americans
Americans are citizens of the United States of America.
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Andrew Wiles
Sir Andrew John Wiles (born 11 April 1953) is a British mathematician and a Royal Society Research Professor at the University of Oxford, specialising in number theory.
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Atle Selberg
Atle Selberg (14 June 1917 – 6 August 2007) was a Norwegian mathematician known for his work in analytic number theory, and in the theory of automorphic forms, in particular bringing them into relation with spectral theory.
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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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Bill Casselman (mathematician)
William Allen "Bill" Casselman (born November 27, 1941) is an American Canadian mathematician who works in group theory.
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British Columbia
British Columbia (BC; Colombie-Britannique) is the westernmost province of Canada, located between the Pacific Ocean and the Rocky Mountains.
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Cahit Arf
Cahit Arf (11 October 1910 – 26 December 1997) was a Turkish mathematician.
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Canada
Canada is a country located in the northern part of North America.
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Canadians
Canadians (Canadiens / Canadiennes) are people identified with the country of Canada.
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Class field theory
In mathematics, class field theory is a major branch of algebraic number theory that studies abelian extensions of local fields (one-dimensional local fields) and "global fields" (one-dimensional global fields) such as number fields and function fields of curves over finite fields in terms of abelian topological groups associated to the fields.
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Cole Prize
The Frank Nelson Cole Prize, or Cole Prize for short, is one of two prizes awarded to mathematicians by the American Mathematical Society, one for an outstanding contribution to algebra, and the other for an outstanding contribution to number theory.
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Diana Shelstad
Diana Frost Shelstad (born August 19, 1947) is a mathematician known for her work in automorphic forms.
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Edward Frenkel
Edward Vladimirovich Frenkel (sometimes spelled Э́двард Фре́нкель; born May 2, 1968) is a Russian-American mathematician working in representation theory, algebraic geometry, and mathematical physics.
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Eisenstein series
Eisenstein series, named after German mathematician Gotthold Eisenstein, are particular modular forms with infinite series expansions that may be written down directly.
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Emeritus
Emeritus, in its current usage, is an adjective used to designate a retired professor, pastor, bishop, pope, director, president, prime minister, or other person.
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Emil Artin
Emil Artin (March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent.
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Endoscopic group
In mathematics, endoscopic groups of reductive algebraic groups were introduced by in his work on the stable trace formula.
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Erich Hecke
Erich Hecke (20 September 1887 – 13 February 1947) was a German mathematician.
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Fellow of the Royal Society
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted to individuals that the Royal Society judges to have made a "substantial contribution to the improvement of natural knowledge, including mathematics, engineering science and medical science".
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Fellow of the Royal Society of Canada
Fellowship of the Royal Society of Canada (FRSC) is an award granted to individuals that the Royal Society of Canada judges to have "made remarkable contributions in the arts, the humanities and the sciences, as well as in Canadian public life".
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Fermat's Last Theorem
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers,, and satisfy the equation for any integer value of greater than 2.
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Functional equation (L-function)
In mathematics, the L-functions of number theory are expected to have several characteristic properties, one of which is that they satisfy certain functional equations.
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Galois group
In mathematics, more specifically in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension.
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General linear group
In mathematics, the general linear group of degree n is the set of invertible matrices, together with the operation of ordinary matrix multiplication.
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Goro Shimura
is a Japanese mathematician, and currently a professor emeritus of mathematics (former Michael Henry Strater Chair) at Princeton University.
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Group of Lie type
In mathematics, specifically in group theory, the phrase group of Lie type usually refers to finite groups that are closely related to the group of rational points of a reductive linear algebraic group with values in a finite field.
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Hans Maass
Hans Maass (Hans Maaß; June 17, 1911, Hamburg – April 15, 1992) was a German mathematician who introduced Maass wave forms and Koecher–Maass series and Maass–Selberg relations and who proved most of the Saito–Kurokawa conjecture.
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Harish-Chandra
Harish-Chandra FRS (11 October 1923 – 16 October 1983) was an Indian American mathematician and physicist who did fundamental work in representation theory, especially harmonic analysis on semisimple Lie groups.
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Hasse–Weil zeta function
In mathematics, the Hasse–Weil zeta function attached to an algebraic variety V defined over an algebraic number field K is one of the two most important types of L-function.
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Hervé Jacquet
Hervé Jacquet is a French American mathematician, working in automorphic forms.
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Holomorphic function
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.
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Institute for Advanced Study
The Institute for Advanced Study (IAS) in Princeton, New Jersey, in the United States, is an independent, postdoctoral research center for theoretical research and intellectual inquiry founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld.
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Jacquet–Langlands correspondence
In mathematics, the Jacquet–Langlands correspondence is a correspondence between automorphic forms on GL2 and its twisted forms, proved by using the Selberg trace formula.
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James Arthur (mathematician)
James Greig Arthur (born May 18, 1944) is a Canadian mathematician working on harmonic analysis, and former President of the American Mathematical Society.
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Jeffery–Williams Prize
The Jeffery–Williams Prize is a mathematics award presented annually by the Canadian Mathematical Society.
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L-function
In mathematics, an L-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects.
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Langlands classification
In mathematics, the Langlands classification is a description of the irreducible representations of a reductive Lie group G, suggested by Robert Langlands (1973).
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Langlands decomposition
In mathematics, the Langlands decomposition writes a parabolic subgroup P of a semisimple Lie group as a product P.
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Langlands dual group
In representation theory, a branch of mathematics, the Langlands dual LG of a reductive algebraic group G (also called the L-group of G) is a group that controls the representation theory of G. If G is defined over a field k, then LG is an extension of the absolute Galois group of k by a complex Lie group.
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Langlands group
Robert Langlands introduced a conjectural group LF attached to each local or global field F, coined the Langlands group of F by Robert Kottwitz, that satisfies properties similar to those of the Weil group.
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Langlands program
In mathematics, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry.
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Langlands–Deligne local constant
In mathematics, the Langlands–Deligne local constant (or local Artin root number up to an elementary function of s) is an elementary function associated with a representation of the Weil group of a local field.
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Leroy P. Steele Prize
The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics.
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Lie group
In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
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Martin Eichler
Martin Maximilian Emil Eichler (29 March 1912 – 7 October 1992) was a German number theorist.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Meromorphic function
In the mathematical field of complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all of D except for a discrete set of isolated points, which are poles of the function.
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Middle East Technical University
Middle East Technical University (commonly referred to as METU; in Turkish, Orta Doğu Teknik Üniversitesi ODTÜ) is a public technical university located in Ankara, Turkey.
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Modularity theorem
In mathematics, the modularity theorem (formerly called the Taniyama–Shimura conjecture or related names like Taniyama–Shimura–Weil conjecture due to rediscovery) states that elliptic curves over the field of rational numbers are related to modular forms.
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Multiplicative group
In mathematics and group theory, the term multiplicative group refers to one of the following concepts.
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NAS Award in Mathematics
The NAS Award in Mathematics is awarded by the U.S. National Academy of Sciences "for excellence of research in the mathematical sciences published within the past ten years." It has been awarded every four years since 1988.
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National Academy of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization.
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Nemmers Prize in Mathematics
The Frederic Esser Nemmers Prize in Mathematics is awarded biennially from Northwestern University.
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New Westminster
New Westminster is a historically important city in the Lower Mainland region of British Columbia, Canada, and a member municipality of Metro Vancouver.
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Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
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Percolation
In physics, chemistry and materials science, percolation (from Latin percōlāre, "to filter" or "trickle through") refers to the movement and filtering of fluids through porous materials.
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Physics
Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.
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Princeton University
Princeton University is a private Ivy League research university in Princeton, New Jersey.
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Professor
Professor (commonly abbreviated as Prof.) is an academic rank at universities and other post-secondary education and research institutions in most countries.
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Quaternion algebra
In mathematics, a quaternion algebra over a field F is a central simple algebra A over F that has dimension 4 over F. Every quaternion algebra becomes the matrix algebra by extending scalars (equivalently, tensoring with a field extension), i.e. for a suitable field extension K of F, A \otimes_F K is isomorphic to the 2×2 matrix algebra over K. The notion of a quaternion algebra can be seen as a generalization of Hamilton's quaternions to an arbitrary base field.
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Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
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Richard Taylor (mathematician)
Richard Lawrence Taylor (born 19 May 1962) is a British and American mathematician working in the field of number theory.
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Royal Society
The President, Council and Fellows of the Royal Society of London for Improving Natural Knowledge, commonly known as the Royal Society, is a learned society.
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Royal Society of Canada
The Royal Society of Canada (RSC; Société royale du Canada), also known as the Academies of Arts, Humanities and Sciences of Canada (French: Académies des arts, des lettres et des sciences du Canada), is the senior national, bilingual council of distinguished Canadian scholars, humanists, scientists and artists.
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Science (journal)
Science, also widely referred to as Science Magazine, is the peer-reviewed academic journal of the American Association for the Advancement of Science (AAAS) and one of the world's top academic journals.
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Selberg trace formula
In mathematics, the Selberg trace formula, introduced by, is an expression for the character of the unitary representation of on the space of square-integrable functions, where is a Lie group and a cofinite discrete group.
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Semigroup
In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation.
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Shaw Prize
The Shaw Prize is an annual award first presented by the Shaw Prize Foundation in 2004.
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Shimura variety
In number theory, a Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q. The term "Shimura variety" applies to the higher-dimensional case, in the case of one-dimensional varieties one speaks of Shimura curves.
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Spectral geometry
Spectral geometry is a field in mathematics which concerns relationships between geometric structures of manifolds and spectra of canonically defined differential operators.
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Thomas Callister Hales
Thomas Callister Hales (born June 4, 1958) is an American mathematician working in the areas of representation theory, discrete geometry, and formal verification.
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Toronto Star
The Toronto Star is a Canadian broadsheet daily newspaper.
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Turkey
Turkey (Türkiye), officially the Republic of Turkey (Türkiye Cumhuriyeti), is a transcontinental country in Eurasia, mainly in Anatolia in Western Asia, with a smaller portion on the Balkan peninsula in Southeast Europe.
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Université Laval
Université Laval (Laval University) is a French-language, public research university in Quebec City, Quebec, Canada.
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University of British Columbia
The University of British Columbia (UBC) is a public research university with campuses in Vancouver and Kelowna, British Columbia.
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Upper half-plane
In mathematics, the upper half-plane H is the set of complex numbers with positive imaginary part: The term arises from a common visualization of the complex number x + iy as the point (x,y) in the plane endowed with Cartesian coordinates.
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Weil's conjecture on Tamagawa numbers
In mathematics, the Weil conjecture on Tamagawa numbers is the statement that the Tamagawa number τ(G) of a simply connected simple algebraic group defined over a number field is 1.
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White Rock, British Columbia
White Rock is a city in British Columbia, Canada, and a member municipality of Metro Vancouver.
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Wolf Prize
The Wolf Prize is an international award granted in Israel, that has been presented most years since 1978 to living scientists and artists for "achievements in the interest of mankind and friendly relations among people...
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Yale University
Yale University is an American private Ivy League research university in New Haven, Connecticut.
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References
[1] https://en.wikipedia.org/wiki/Robert_Langlands
