Algorithms, Combinatorics and Optimization Seminar September 14, 2023 3:30pm — 4:30pm Location: In Person - Wean Hall 8220 Speaker: ALEXANDER MASON , Ph.D. Student, Department of Mathematics, University of Washington https://math.washington.edu/people/alexander-mason h-vector inequalities for weak maps of matroids The study of matroids and their invariants has undergone remarkable developments in recent years. In particular, many long-standing conjectures concerning inequalities that are satisfied between certain invariants, such as the number of flats of a given rank, associated to a given matroid, have been resolved. We take a different perspective and consider inequalities between invariants of different matroids. By employing combinatorial and algebraic methods, we prove several results, with our main result being that the flag h-vector is nonincreasing under weak maps. Event Website: https://aco.math.cmu.edu/abs-23-24/sep14.html Add event to Google Add event to iCal
