EAUMP-ICTP School: Topics in Concrete Mathematics | (smr 3465)
Starts 3 Aug 2020
Ends 14 Aug 2020
Central European Time
Kigali - Rwanda
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:
Advanced linear algebra
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;
Groups, Counting and FFT
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;
Introduction to Lie Algebras
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.