The lectures cover perverse sheaves and the topology of algebraic varieties, an introduction to affine Grassmannians
and the geometric Satake equivalence, Springer theories and orbital integrals, perverse sheaves and fundamental lemmas, K-theory computations in enumerative geometry, and perverse sheaves on instanton moduli spaces.
lambda]](x), and hence the Schubert structure constants of the K-theory of Grassmannians
(see also the paper  by Ikeda-Shimazaki for another proof) For the equivariant K-theory of Grassmannians
(or equivalently for [G.
Riepel, Categorical Lagrangian Grassmannians
and Brauer-Picard groups of pointed fusion categories, J.
Objective: The aim of GEOGRAL is to strengthen the bonds of the geometric theory of nonlinear PDEs (and, in particular, integrable systems and equations of Monge-Ampre type) with the geometry of Lagrangian Grassmannians
and their submanifolds.
BKT03] Anders Skovsted Buch, Andrew Kresch, and Harry Tamvakis, Gromov-Witten invariants on Grassmannians
LIM, Quasi-Newton methods on Grassmannians
and multilinear approximations of tensors, SIAM J.
, moduli spaces and vector bundles; proceedings.
For example, from the usual representation of SLn(R) on C", one obtains actions on the parameter spaces of linear subspaces, that is, Grassmannians
Drawn from lectures at a program held in 1999 in Taiwan's National Center for Theoretical Sciences, the topics include isothermic surfaces in terms of conformal geometry, Clifford algebras and integrable systems, introductions to homological geometry, isoparametric submanifolds and a Chevalley-type restriction theorem, a gauge-theoretic approach to harmonic maps and subspaces in Moduli spaces, and Schrodinger flows on Grassmannians
This is the first contribution to the rigidity question for an important class of irreducible Hermitian symmetric spaces, the complex Grassmannians
The five selections that make up the main body of the text are devoted to the Chern-Simons theory and knot invariants, tensor product algebras and Grassmannians
and Khovanov homology, lectures on know homology, knot Floer homology, and knot homology and quantum curves.
are point-line spaces arising from projective spaces by considering the subspaces of a certain finite rank.