|
TITLE / TITRE
Degeneracy loci in geometry and combinatorics
aBSTRACT / RÉSUMÉ
Given a matrix of homogeneous polynomials, there is a “degeneracy locus” of points where specified submatrices drop rank. These loci are ubiquitous, and formulas for their degrees go back to Cayley and Salmon in the mid-1800s. The search for more general and refined degree formulas led to a rich interaction between geometry and combinatorics in the late 20th century, and that interplay continues today. I will describe recent and new formulas relating the geometry of degeneracy loci with the combinatorics of Schubert polynomials, including some ongoing joint work with William Fulton.
PLACE /LIEU
Hybride - UQAM Salle / Room PK-5115, Pavillon Président-Kennedy
ZOOM
https://uqam.zoom.us/j/82844931676
|