SMRI Seminar ’Generic pipe dreams, conormal matrix Schubert varieties and the commuting variety’ Paul Zinn-Justin (University of Melbourne) Jun 9, 2021 2:00pm-3:00pm via Zoom - register here https://uni-sydney.zoom.us/meeting/register/tZEqf-iqrDgsH9AWdQAHoO0Y18-XsiBMx4Q0 and Quad S227 (University of Sydney staff, students & affiliates only - please note in your registration or email smri.admin@sydney.edu.au) Abstract: In the first part of the talk, I will review Grobner degenerations of matrix Schubert varieties, following Knutson et al and others. I will interpret this in terms of quantum integrable systems and discuss how this construction is not entirely satisfactory and needs to be generalized. Then I will provide such a generalization; we’ll work with the "lower-upper scheme"; one component of which is closely related to the commuting variety. We’ll discuss applications to the latter.