Department of Mathematics Calendar

Back to Listing

The Department of Mathematics Calendar has moved to Webtools. Anyone may submit an event by clicking the "+" button (upper right). Note: the Sponsor field is required. Just type "n/a"

All events will be reviewed before acceptance. Please email Shelby Koehne if you have any questions about submitting an event.

Note: you may search past and future events by clicking on the magnifying glass icon on the main Calendar page.

For an archive of past events: https://math.illinois.edu/research/seminars-department-calendar

Algebra, Geometry & Combinatorics: A Polytopal View of Schubert Polynomials

Event Type
Seminar/Symposium
Sponsor
N/A
Location
347AH
Date
Mar 24, 2022   3:00 pm  
Speaker
Avery St. Dizier
Contact
Gidon Orelowitz
E-Mail
gidono2@illinois.edu
Phone
917-371-1855
Views
14

Schubert polynomials are polynomial representatives of cohomology classes of subvarieties of the flag manifold. Despite the many combinatorial formulas developed for them over the years, there remain many mysteries surrounding these polynomials.

I will describe Schubert (and related) polynomials with a focus on discrete geometry. From this perspective, I will address questions such as vanishing of Schubert coefficients, relative size of coefficients, and interesting properties of the support of a Schubert polynomial. I will discuss some extensions to Grothendieck polynomials, K-theory analogues of Schubert polynomials.

link for robots only