10 research outputs found
The geometric Satake equivalence for integral motives
We prove the geometric Satake equivalence for mixed Tate motives over the
integral motivic cohomology spectrum. This refines previous versions of the
geometric Satake equivalence for split groups and power series affine
Grassmannians. Our new geometric results include Whitney-Tate stratifications
of Beilinson-Drinfeld Grassmannians and cellular decompositions of
semi-infinite orbits. With future global applications in mind, we also achieve
an equivalence relative to a power of the affine line. Finally, we use our
equivalence to give Tannakian constructions of the C-group and a modified form
of Vinberg's monoid.Comment: Comments welcome
MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications
Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described