WiSe 19/20: Numerical Algebraic Geometry with Julia
Christian Haase
Additional information / Pre-requisites
There will a block course component Mon/Tue Oct 14/15 all day!
If available, bring you own laptop.
Comments
Solving systems of polynomial equations over the real or complex numbers is a basic, ubiquitous, and highly relevant mathematical task. Over the past two decades, there has been dramatic progress in our ability to practically solve polynomial systems and explore their solution sets.
In this course, Students will learn to solve their own systems with the Julia package HomotopyContinuation.jl. Next to solving problems from application, they will also learn how output from numerical homotopy continuation can be used in rigorous mathematical proofs. For instance, an instance of the famous 3264 conics tangent to five given conics was computed using HomotopyContinuation.jl, and all its tangential conics where proven to be real.
Students work on projects involving the solution of polynomial systems. They present their programs and solutions in conjunction with the Milestones Conference of the TES in February.
close11 Class schedule
Regular appointments
Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)