Monthly Archives: August 2020

To cheer you up in difficult times 9: Alexey Pokrovskiy proved that Rota’s Basis Conjecture holds asymptotically

Pokrovskiy’s startling morning  rainbow Rota’s Basis Conjecture holds asymptotically, by Alexey Pokrovskiy Abstract: Rota’s Basis Conjecture is a well known problem from matroid theory, that states that for any collection of n bases in a rank n matroid, it is … Continue reading

Posted in Combinatorics, Updates | Tagged , , | 4 Comments

To Cheer you up in Difficult Times 8: Nathan Keller and Ohad Klein Proved Tomaszewski’s Conjecture on Randomly Signed Sums

Today we talk about the paper, Proof of Tomaszewski’s Conjecture on Randomly Signed Sums, by Nathan Keller and Ohad Klein. Consider a unit vector That is latex \sum_{i=1}^n a_i^2=1$. Consider all () signed sums where each is either 1 or … Continue reading

Posted in Analysis, Combinatorics, Probability | Tagged , , | 11 Comments