Degeneracy Loci in Geometry and Combinatorics

Explore the fascinating intersection of geometry and combinatorics in this 58-minute lecture by David Anderson on degeneracy loci. Delve into the historical roots of degree formulas for degeneracy loci, tracing their origins back to Cayley and Salmon in the mid-1800s. Discover how the quest for more general and refined degree formulas has fostered a rich interaction between geometry and combinatorics since the late 20th century. Examine recent developments and new formulas that connect the geometry of degeneracy loci with the combinatorics of Schubert polynomials. Gain insights into ongoing research, including collaborative work with William Fulton, as Anderson illuminates the continuing interplay between these mathematical fields.