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Seminar of the session "Algebraic topology, geometric and combinatorial group theory"

seminar: Realizing subword complexes via triangulations of root polytopes

speaker: Karola Meszaros (Cornell University)

abstract: Subword complexes are simplicial complexes introduced by Knutson and Miller to illustrate the combinatorics of Schubert polynomials and determinantal ideals. They proved that any subword complex is homeomorphic to a ball or a sphere and asked about their geometric realizations. We show that a family of subword complexes can be realized geometrically via triangulations of root polytopes. This implies that a family of $\beta$-Grothendieck polynomials are special cases of reduced forms in the subdivision algebra of root polytopes. Based on joint work with Laura Escobar.

timetable:
Wed 11 Feb, 15:00 - 16:00, Aula Dini
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