Efficient implementation of an iterative ensemble smoother for big-data assimilation and reservoir history matching
Geir Evensen (NORCE Norwegian Research Centre, Norway)
SageMath is an open source variant of Mathematica and useful in various areas in mathematics. For my master thesis, I implement characteristic classes of vector bundles using the Chern--Weil homomorphism. Characteristic classes can describe the `twistedness` of a vector bundle and are important ingredients of the Atiyah--Singer index theorem. Given a vector bundle E->M over a differentiable manifold M, it is possible to construct any real (or complex) characteristic class (like the Euler class) out of some connection matrix given on E. In this talk I will shortly introduce characteristic classes and explain the algorithm. If there is some time, I will present a demo notebook of my current progress in SageMath.