Title: Rota's Basis Conjecture holds asymptotically
|Affiliation:||Birkbeck, University of London|
|Zoom:||Please email Emma Watson|
Rota's Basis Conjecture is a well known problem, that states that for any collection of n bases in a rank n matroid, it is possible to decompose all the elements into n disjoint rainbow bases. Here an asymptotic version of this is will be discussed - that it is possible to find n − o(n) disjoint rainbow independent sets of size n − o(n).