Grassmannians, moduli spaces, and vector bundles

Vector bundles Operator theory -- Special classes of linear operators -- Toeplitz operators, Hankel operators, Wiener-Hopf operators Commutative algebra -- Homological methods -- (Co)homology of commutative rings and algebras (e.g., Hochschild, AndräAÃ-Quillen, cyclic, dihedral, etc.). Manifolds and cell complexes -- Differential topology -- Topological quantum field theories Moduli theory Algebraic geometry -- Curves -- Vector bundles on curves and their moduli Differential geometry -- Symplectic geometry, contact geometry -- Symplectic structures of moduli spaces Topological groups, Lie groups -- Lie groups -- Geometric Langlands program: representation-theoretic aspects Algebraic geometry -- (Co)homology theory -- Brauer groups of schemes Congresses