Speaker: Uri Zwick Title: New (and old) facets of the Random-Facet algorithm Abstract: The Random-Facet pivoting rule is a randomized pivoting rule for the simplex method used to solve linear programming (LP) problems. It was devised independently by Kalai and by Matousek, Sharir and Welzl. It solves any LP problem using a sub-exponential number of pivoting steps, making it the fastest known pivoting rule for the simplex algorithm. Following Kalai and Gärtner, we explore improved versions of the Random-Facet pivoting rule and analyze their performance. Joint work with Thomas Dueholm Hansen.