(Intensive Lecture Series) Ron Aharoni, Lectures on topological methods in combinatorics

The lectures will give an introduction to the application of topological methods in matching theory, graph theory, and combinatorics.
Topics that will be covered:</p>

– A topological extension of Hall’s theorem
– combinatorial applications of the nerve theorem
– d-Leray complexes and rainbow matchings
– Matroid complexes and applications
– Open problems