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Algebra, Geometry & Combinatorics: A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type

Event Type
Seminar/Symposium
Sponsor
N/A
Location
347 Altgeld Hall
Date
May 5, 2022   3:00 pm  
Speaker
Khanh Nguyen Duc
Contact
Gidon Orelowitz
E-Mail
gidono2@illinois.edu
Phone
917-371-1855
Views
23

The Grothendieck polynomials appearing in the K-theory of Grassmannians are analogs of Schur polynomials. We establish a version of the Murnaghan-Nakayama rule for Grothendieck polynomials of the Grassmannian type. This rule allows us to express the product of a Grothendieck polynomial with a power sum symmetric polynomial into a linear combination of other Grothendieck polynomials.

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