Projects for Math 662 - 35-minute presentation to the class. - 2-page LaTeX summary (Due last week of class for comments before revisions) ------------------------------------------------------------------------------- Thursday, 2 December Hecke Algebras and their representations Mariana Pereira Walter Moreira Tuesday, 7 December Wedderburn Theory. Valentina Vega Green's Theorem on anti chains and increasing sequences in a poset. Martin Decker ------------------------------------------------------------------------------- Thursday, 9 December (*) Hopf Algebra of Quasi-symmetric functions Dmytro Savchuk (*) Symmetry of Robinson-Schensted-Knuth insertion Terry Macdonald (*) Schubert calculus for the flag manifold Jim Ruffo ------------------------------------------------------------------------------- Monday 13 December 10:00 AM Milner 317 (*) Polynomial representations of GL_n Theodoros Kyriopoulos (*) Pluecker relations for the Grassmannian Stefan Toheananu Tuesday 14 December 9:35 AM Milner 317 (*) Schubert polynoimials Swami Wants to give presentation later (Finals week) (*) Cohomology of the flag manifold Ming Seo ------------------------------------------------------------------------------- (*) Chern classes and the cohomology of the Grassmannian (*) Dual Knuth Equivalence (*) Degeneracy Loci (Thom-Porteous Formula) (*) Coxeter Groups (*) Weyl Groups and Root Systems