====== Michael Dobbins (Binghamton) ====== ====== A Universality Theorem for Nested Polytopes ====== ===== Abstract for the Combinatorics Seminar 2018 September 18 ===== Given a polytope S, a polytope P containing S, and a number k, the Nested Polytope problem asks whether there is a polytope Q with at most k vertices that contains S and is contained in P. We show that the Nested Polytope problem is ETR-complete. This is joint work with Andreas Holmsen and Tillmann Miltzow. ----