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6 days ago · Professor. Vladimir Drinfeld. University of Chicago. Mathematician; Educator. Area. Mathematical and Physical Sciences. Specialty. Mathematics, Applied Mathematics, and Statistics. Elected. 2008. Harry Pratt Judson Distinguished Service Professor. Invented the moduli spaces of elliptical models and shtukas.
Jun 12, 2024 · Algebraic Geometry and Number Theory: In Honor of Vladimir Drinfeld's 50th Birthday, Progress in Mathematics 253, Birkhäuser 2006 Additive Combinatorics, Terence Tao, Van H. Vu, Cambridge Studies in Advanced Mathematics 105, CUP 2006 Elliptic functions, J.V. Armitage, W.F. Eberlein, London Mathematical Society Student Texts 67, CUP 2006
Jun 26, 2024 · Yang–Mills theory is a gauge theory on a given 4- dimensional ( pseudo -) Riemannian manifold X X whose field is the Yang–Mills field – a cocycle ∇ ∈ H(X, B¯U(n)) \nabla \in \mathbf {H} (X,\bar \mathbf {B}U (n)) in differential nonabelian cohomology represented by a vector bundle with connection – and whose action functional is.
5 days ago · With Hitchin he used ideas of Horrocks to solve this problem, giving the ADHM construction of all instantons on a sphere; Manin and Drinfeld found the same construction at the same time, leading to a joint paper by all four authors.
Jun 19, 2024 · Another significant early discovery was the development of the ADHM construction by Atiyah, Vladimir Drinfeld, Hitchin, and Yuri Manin. This construction allowed for the solution to the anti-self-duality equations on Euclidean space from purely linear algebraic data.
4 days ago · A Hopf algebroid is a (possibly noncommutative) generalization of a structure which is dual to a groupoid (equipped with atlas) in the sense of space-algebra duality. This is the concept that generalizes Hopf algebras with their relation to groups from groups to groupoids.
Jun 25, 2024 · The framed line defects of the spin TFT are labelled by certain equivariant modules over A A, and the spin structure may or may not extend to a given line defect. Physically the spin TFT can be interpreted as the result of gauging a one-form symmetry in the original oriented TFT.
