Optimal Colorful Tverberg’s Theorem by Blagojecic, Matschke, and Ziegler

Pavle Blagojevic, Benjamin Matschke, and Guenter Ziegler settled  for the case that is a prime, the “colorful Tverberg’s conjecture.” (Problem 6  in this post.) This gives a sharp version for Zivaljevic and Vrecica theorem, and crossed the “connectivity of chessboard complexes barrier”.  Here is the link to the breakthrough paper.