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Jun 20, 2024 · Karen Uhlenbeck I love inequalities. The Sobolev and related inequalities estimate functions in terms of derivatives and form the basis for our understanding of partial differential equations.
Jun 19, 2024 · Important analytical tools in geometric analysis were developed at this time by Karen Uhlenbeck, who studied the analytical properties of connections and curvature proving important compactness results.
3 days ago · A result of Yau and Karen Uhlenbeck generalized Donaldson's result to allow a compact Kähler manifold of any dimension. The Uhlenbeck–Yau method relied upon elliptic partial differential equations while Donaldson's used parabolic partial differential equations, roughly in parallel to Eells and Sampson's epochal work on harmonic maps. The ...
Jun 29, 2024 · Karen Uhlenbeck is a leading expert in partial differential equations and has worked on a variety of topics related to mathematical physics. Olabisi Ugbebor (born 1951), first female mathematics professor in Nigeria; Karen Uhlenbeck (born 1942), American mathematician, MacArthur Fellow, National Medal of Science, Leroy P. Steele Prize, Abel Prize
Jun 17, 2024 · Abelprisen, også kalla matematikkens nobelpris, går i år til matematikar Karen Uhlenbeck. Det er første gong i prisens 17 år lange historie at den går til ei kvinne. Matematikk er eitt av...
Jun 14, 2024 · K. Uhlenbeck er den første kvinnen som mottar denne prisen, som er verdt 6 millioner. norske kroner (620.000 euro). «Karen Uhlenbeck mottar Abelprisen 2019 for sin grunnleggende forskning innen geometrisk analyse og måleteori, som har revolusjonert matematikken,» sa Hans Munthe-Kaas, leder av Abelpriskomiteen, i en uttalelse.
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.
