Ohio State is in the process of revising websites and program materials to accurately reflect compliance with the law. While this work occurs, language referencing protected class status or other activities prohibited by Ohio Senate Bill 1 may still appear in some places. However, all programs and activities are being administered in compliance with federal and state law.

h-vector inequalities for weak maps of matroids

Alex Mason
September 21, 2023
10:20 am - 11:15 am
MW 154

Title:  h-vector inequalities for weak maps of matroids

Speaker:  Alex Mason (University of Washington)

Speaker's URL:  https://math.washington.edu/people/alexander-mason

Abstract:  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. The talk is intended to be accessible to graduate students.

URL associated with Seminar:  https://u.osu.edu/probability/autumn-2023/

Events Filters: