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TITLE聽/ TITRE
Degeneracy loci in geometry and combinatorics
aBSTRACT /聽R脡SUM脡聽
Given a matrix of homogeneous polynomials, there is a 鈥渄egeneracy locus鈥� 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 Pr茅sident-Kennedy
ZOOM
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