|
||
Abstracts: |
||
V. Balaji Stable bundles and holonomy group schemes of varieties This
is based on my joint work with A.J. Parameswaran. For smooth
projective varieties over algebraically closed fields, we
construct a group scheme obtained from a Tannaka category of a
large class of bundles on X. The irreducible
representations of this group scheme are precisely the strongly
stable bundles on X (with degree 0) as in the classical
Narasimhan-Seshadri theorem. We study this U. Görtz Affine Springer fibers and affine Deligne-Lusztig Varieties U. Hackstein Principal G-bundles on p-adic curves and parallel transport We
define functorial isomorphisms of parallel transport along étale
paths for a class of principal G-bundles on a p-adic
curve. Here G is a connected reductive algebraic group of
finite presentation N. Hoffmann Rationality for moduli spaces of symplectic bundles I'll report on joint work with I. Biswas about moduli spaces of symplectic bundles on an algebraic curve C. More precisely, we consider vector bundles E on C of rank 2n, endowed with a symplectic form with values in a fixed line bundle L, and prove that their moduli space is rational if n and deg(L) are both odd. The latter condition corresponds to the coprimeness of rank and degree for vector bundles. I. Kausz Zollstocks and gravitational correlators A zollstock is a two-pointed semistable curve of genus zero, whose dual graph is linear. The stack of zollstocks may be considered as a substitute for the (non-existing) moduli space of stable two-pointed curves of genus zero. In this talk we explain how this stack fits into a cyclic operad in the category of Artin stacks, and the relationship of this operad with gravitational correlators from Gromov-Witten theory. P.E. Newstead Higher rank Brill-Noether theory and coherent systems I will begin by reviewing the classification of vector bundles on an algebraic curve. Then I will introduce Brill-Noether loci, corresponding to vector bundles with at least a specified number of independent global sections, and coherent systems, that is pairs consisting of a vector bundle and a subspace of its space of sections. I will discuss briefly the connection between these two ideas and then describe results on Brill-Noether loci and the classifying spaces of coherent systems, particularly for bundles of rank 2. Ngo Dac T. Compactifications
of stacks of G-shtukas |
E. Opdam Degenerate double affine Hecke algebras at critical level The
degenerate double affine Hecke algebra at critical level plays a
predominant role in the integrable model of 1-dimensional quantum
particles with delta function interaction and with periodic
boundary conditions (and the root system generalizations of these
models). We discuss the Bethe Ansatz equation for these systems,
and various results and conjectures on the eigenfunctions and the
representation theory of the underlying Hecke algebra. C.S. Seshadri Moduli spaces of bundles on nodal curves The purpose of this talk is to give a survey of work on moduli spaces of vector bundles or rather torsion free sheaves on nodal curves and generalisations in the context of principal bundles. W. Soergel Graded version of tensoring with finite dimensional representations We show how the functors of tensoring with finite dimensional representations can be lifted in a consistent way to the graded version of category O. This is done using the geometry of the affine Grassmannian. U. Stuhler Azumaya algebras and unit groups In
the talk there will be a discussion of finiteness properties of
unit E. Vasserot Double afine Hecke algebras and affine flag manifolds I.
Affine Hecke algebra and K-theory of the flag manifold.
|
|