EAUMP-ICTP School: Topics in Concrete Mathematics – Kigali, RwandaLeave a comment / By: manifel / 07 March, 2020 09:15:10AM
This School will be held at the ICTP-East African Institute for Fundamental Research [EAIFR] in Kigali, Rwanda; it will offer students concrete and effective mathematical tools from algebra, group theory and geometry that can be applied to any scientific field.
Description of Courses:
This goes beyond a first course on the subject. Topics like Jordan normal form will be studied as well as bilinear forms, multilinear forms and tensor products;
We start with group theory via rotations in 3d space; this will be used in Pólya counting problems. We then moves on to character theory culminating in fast Fourier transform;
The course introduces Lie algebras and aims towards of the classification of semisimple Lie algebras which is widely considered one of the most elegant results in mathematics;
The course introduces modular forms. We will study many concrete
examples, like the Eisenstein series, from which we will construct
the finite dimensional spaces of modular forms of any weight.
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