Moduli of Vector Bundles

Computing Schubert's calculus with Severi residues - an introduction to quantum cohomology; Neron-Severi group for Torus quasi-bundles over curves; some Donaldson invariants of CP2; Kahler quotient and equivariant cohomology; magnetic monopoles with platonic symmetry; semi-universal family of reflexive modules over a rational double point of type A; a remark on Donaldson's polynomial invariants for a surface of general type with Pg=2 and K2=1; module des fibres semi-stables et fonctions theta; systemes coherents et polynomes de Donaldson; Picard groups of the moduli spaces of vector bundles over algebraic surfaces; construction of moduli spaces and stable sheaves via Simpson's idea; curves and K3 surface of genus eleven; hyper-Kahler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces; notes on symplectic 4-manifolds with b2=1; on the local geometry of moduli spaces of locally free sheaves; small fields in constructive algebraic geometry; homotopy over the complex numbers and generalized de Rham cohomology; remarks on zero-cycles of self-products of varieties; moduli of parabolic Higgs sheaves; numbers of F-alpha-rational points of the moduli of stable sheaves on elliptic surfaces.

Biography

Masaki Maruyama