Presented By: Department of Mathematics
Complex Analysis, Dynamics and Geometry Seminar
The Gromov-Wasserstein Problem for Vector Bundle Automorphisms
By elementary linear algebra, any complex matrix in the special linear group can be factored into a product of elementary matrixes, i.e. matrixes with ones on the diagonal and no more than one non-zero element outside the diagonal. The corresponding factorisation problem for SLn valued holomorphic functions on Stein manifolds is called the Gromov-Wasserstein problem and was solved by Ivarsson and Kutzschebauch in 2008. In this talk I will address a "vector bundle analog" of this problem. In particular, I will provide a theorem ruling out topological obstructions. This is joint work with Erlend F Wold at University of Oslo. Speaker(s): Jakob Hultgren (University of Maryland)
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