**Abstract:**

Schubert structure coefficients describe the multiplicative structure of the cohomology rings of flag varieties. Much work has been done on the problem of giving combinatorial formulas for these coefficients in special cases, as well as on the related problem of identifying vanishing and nonvanishing conditions. We establish families of linear relations among Schubert structure coefficients, which allow one to discern properties of unknown coefficients from properties of others. Building on work of Wyser, we give new formulas for certain Schubert structure coefficients in terms of (p,q)-clans. This is joint work with Oliver Pechenik.

**Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.**

**Join Zoom Meeting: https://washington.zoom.us/j/ 91547335974Meeting ID: 915 4733 5974**