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Langlands Duality In Representation Theory And Gauge Theory

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Dennis Gaitsgory and Team Prove Geometric Langlands Conjecture

21 July, 2024

 

Dennis Gaitsgory, along with a team of mathematicians, has proved the geometric Langlands conjecture, a major milestone in modern mathematics. This achievement, which spans over 800 pages in five papers, resolves a crucial part of the Langlands program, a framework connecting number theory, geometry, and function fields.

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Ivan Mirkovic

FELLOW
University of Massachusetts

Ivan is a professor in the Department of Mathematics and Statistics at the University of Massachusetts. His research interests are representation theory, quantum field theory, algebraic geometry, and number theory.

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David Kazhdan

FELLOW
The Hebrew University of Jerusalem
David is a professor in the Department of Mathematics at The Hebrew University of Jerusalem. His research interests are representations of groups.
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Anton Kapustin

FELLOW
Caltech
Anton is a professor in the Department of Mathematics at Harvard University. His research interests are supersymmetric gauge theories, duality, and topological field theory.
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Dennis Gaitsgory

FELLOW
Harvard University
Dennis is a professor in the Department of Mathematics at Harvard University. His research interests are geometrization of automorphic forms, and the theory of chiral algebras.
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Michael Finkelberg

FELLOW
Higher School of Economics
Michael is a professor in the Department of Mathematics at the State University Higher School of Economics, Moscow. His research interests are algebraic geometry and representation theory.
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Alexander Braverman

FELLOW
Brown University
Alexander is a professor in the Mathematics Department at Brown University. His research interests are algebraic geometry and representation theory.
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Roman Bezrukavnikov

FELLOW
MIT
Roman is a professor in The Department of Mathematics at MIT. His research interests are algebraic geometry and representation theory.
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Joseph Bernstein

FELLOW
Tel Aviv University
Joseph is a professor in The School of Mathematical Sciences at Tel Aviv University. His research interests are algebraic geometry, representation theory, automorphic forms and number theory.