Schubert Varieties and Degeneracy Loci

• Main Authors: Fulton, William (Author, http://id.loc.gov/vocabulary/relators/aut), Pragacz, Piotr (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1689
• Subjects: Algebraic geometry.; Combinatorics.; Group theory.; Algebraic topology.; Algebraic Geometry.; Group Theory and Generalizations.; Algebraic Topology.
• Physical Description: X, 150 p. online resource.
• ISBN: 9783540698043
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0096380

Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, from a summer school in Thurnau, aim to give an introduction to these topics, and to describe recent progress on these problems. There are interesting interactions with the algebra of symmetric functions and combinatorics, as well as the geometry of flag manifolds and intersection theory and algebraic geometry.