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Documents  Webster, Ben | enregistrements trouvés : 8

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Outreach;Mathematics Education and Popularization of Mathematics

Edward Frenkel is a professor of mathematics at the University of California, Berkeley, which he joined in 1997 after being on the faculty at Harvard University. He is a member of the American Academy of Arts and Sciences, a Fellow of the American Mathematical Society, and the winner of the Hermann Weyl Prize in mathematical physics. Frenkel’s research is on the interface of mathematics and quantum physics, with an emphasis on the Langlands Program, which he describes as a Grand Unified Theory of mathematics. He has authored three books and over eighty scholarly articles in academic journals, and he has lectured on his work around the world. His YouTube videos have garnered millions of views.
Frenkel’s latest book Love and Math was a New York Times bestseller, has been named one of the Best Books of the year by both Amazon and iBooks, and won the Euler Book Prize from the Mathematical Association of America. It has been published in 18 languages. Frenkel has also co-produced, co-directed and played the lead in the film Rites of Love and Math.
Edward Frenkel is a professor of mathematics at the University of California, Berkeley, which he joined in 1997 after being on the faculty at Harvard University. He is a member of the American Academy of Arts and Sciences, a Fellow of the American Mathematical Society, and the winner of the Hermann Weyl Prize in mathematical physics. Frenkel’s research is on the interface of mathematics and quantum physics, with an emphasis on the Langlands ...

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Research talks;Mathematical Physics;Topology

The BV-BFV formalism unifies the BV formalism (which deals with the problem of fixing the gauge of field theories on closed manifolds) with the BFV formalism (which yields a cohomological resolution of the reduced phase space of a classical field theory). I will explain how this formalism arises and how it can be quantized.

83C45 ; 81T13 ; 70S05 ; 81T70

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Research talks

The algebra $U(gl_n)$ contains a famous and beautiful commutative subalgebra, called the Gelfand-Tsetlin subalgebra. One problem which has attracted great attention over the recent decades is to classify the simple modules on which this subalgebra acts locally finitely (the Gelfand-Tsetlin modules). In investigating this question, Futorny and Ovsienko expanded attention to a generalization of these algebras, saddled with the unfortunate name of “principal Galois orders”. I’ll explain how all interesting known examples of these (and some unknown ones, such as the rational Cherednik algebras of $G(l,p,n)!)$ are the Coulomb branches of N = 4 3D gauge theories, and how this perspective allows us to classify the simple Gelfand-Tsetlin modules for $U(gl_n)$ and Cherednik algebras and explain the Koszul duality between Higgs and Coulomb categories O. The algebra $U(gl_n)$ contains a famous and beautiful commutative subalgebra, called the Gelfand-Tsetlin subalgebra. One problem which has attracted great attention over the recent decades is to classify the simple modules on which this subalgebra acts locally finitely (the Gelfand-Tsetlin modules). In investigating this question, Futorny and Ovsienko expanded attention to a generalization of these algebras, saddled with the unfortunate name of ...

17B10 ; 17B37

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Research talks;Mathematical Physics

I shall talk about an old, but not always correctly understood, paper which we wrote with N. Reshetikhin.

82B23 ; 82B20 ; 81T40 ; 81R50

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Research talks;Mathematical Physics;Topology

Geometric Recursion is a very general machinery for constructing mapping class group invariants objects associated to two dimensional surfaces. After presenting the general abstract definition we shall see how a number of constructions in low dimensional geometry and topology fits into this setting. These will include the Mirzakhani-McShane identies, mapping class group invariant closed forms on Teichmüller space (including the Weil-Petterson symplectic form) and the Goldman symplectic form. Geometric Recursion is a very general machinery for constructing mapping class group invariants objects associated to two dimensional surfaces. After presenting the general abstract definition we shall see how a number of constructions in low dimensional geometry and topology fits into this setting. These will include the Mirzakhani-McShane identies, mapping class group invariant closed forms on Teichmüller space (including the Weil-Petterson ...

51P05 ; 81Q30

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Research talks;Algebra;Mathematical Physics

We study invariant differential operators on representations of supergroups associated with simple Jordan superalgebras, in the classical case this problem goes back to Kostant. Eigenvalues of Capelli differential operators give interesting families of polynomials such as super Jack polynomials of Sergeev and Veselov and factorial Schur polynomials of Okounkov and Ivanov. We also discuss connection with deformed Calogero-Moser systems in the super case. We study invariant differential operators on representations of supergroups associated with simple Jordan superalgebras, in the classical case this problem goes back to Kostant. Eigenvalues of Capelli differential operators give interesting families of polynomials such as super Jack polynomials of Sergeev and Veselov and factorial Schur polynomials of Okounkov and Ivanov. We also discuss connection with deformed Calogero-Moser systems in the ...

17B10 ; 17A70 ; 17B60 ; 81T60

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- v; 141 p.
ISBN 978-1-4704-2650-7

Memoirs of the American Mathematical Society , 1191

Localisation : Collection 1er étage

théorie des noeuds # représentation de groupes # homologie des noeuds # catégorisation # action catégorielle

57M27 ; 16P10 ; 17B37

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- xii; 179 p.
ISBN 978-2-85629-845-9

Astérisque , 0384

Localisation : Périodique 1er étage

quantification par déformation # anneau associatif # anneau non associatif # géométrie algébrique

53D55 ; 16G99 ; 14M99 ; 17B10

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