SMRI Seminar: Zinn-Justin -- Generic pipe dreams, conormal matrix Schubert varieties and the commuting variety

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 [email protected]) 

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.