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Articles 1 - 6 of 6
Full-Text Articles in Physical Sciences and Mathematics
A Polytope Combinatorics For Semisimple Groups, Jared E. Anderson
A Polytope Combinatorics For Semisimple Groups, Jared E. Anderson
Mathematics and Statistics Department Faculty Publication Series
Mirkovi and Vilonen discovered a canonical basis of algebraic cycles for the intersection homology of (the closures of the strata of) the loop Grassmannian. The moment map images of these varieties are a collection of polytopes, and they may be used to compute weight multiplicities and tensor product multiplicities for representations of a semisimple group. The polytopes are explicitly described for a few low rank groups.
Elliptic Functions And Equations Of Modular Curves, Lev A. Borisov, Paul E. Gunnells, Sorin Popescu
Elliptic Functions And Equations Of Modular Curves, Lev A. Borisov, Paul E. Gunnells, Sorin Popescu
Paul Gunnells
Let P≥5 be a prime. We show that the space of weight one Eisenstein series defines an embedding into P(p−3)/2 of the modular curve X1(p) for the congruence group Γ1(p) that is scheme-theoretically cut out by explicit quadratic equations.
A Homotopy Theory Of Orbispaces, Weimin Chen Chen
A Homotopy Theory Of Orbispaces, Weimin Chen Chen
Weimin Chen
An orbifold is a singular space which is locally modeled on the quotient of a smooth manifold by a smooth action of a finite group. It appears naturally in geometry and topology when group actions on manifolds are involved and the stabilizer of each fixed point is finite. The concept of an orbifold was first introduced by Satake under the name “V -manifold” in a paper where he also extended the basic differential geometry to his newly defined singular spaces (cf. [32]). The local structure of an orbifold – being the quotient of a smooth manifold by a finite group …
A New Cohomology Theory Of Orbifold, Weimin Chen Chen
A New Cohomology Theory Of Orbifold, Weimin Chen Chen
Weimin Chen
No abstract provided.
On Toric Varieties And Modular Forms, Paul Gunnells
On Toric Varieties And Modular Forms, Paul Gunnells
Paul Gunnells
No abstract provided.
Bilinear Operators With Non-Smooth Symbol, I, John E. Gilbert, Andrea R. Nahmod
Bilinear Operators With Non-Smooth Symbol, I, John E. Gilbert, Andrea R. Nahmod
Mathematics and Statistics Department Faculty Publication Series
This paper proves the Lp-boundedness of general bilinear operators associated to a symbol or multiplier which need not be smooth. The Main Theorem establishes a general result for multipliers that are allowed to have singularities along the edges of a cone as well as possibly at its vertex. It thus unifies ealier results of Coifman-Meyer for smooth multipliers and ones, such the Bilinear Hilbert transform of Lacey-Thiele, where the multiplier is not smooth. Using a Whitney decomposition in the Fourier plane a general bilinear operator is represented as infinite discrete sums of time-frequency paraproducts obtained by associating wave-packets with tiles …