Past Events

The torus-equivariant K-theory of a (generalized) flag variety G/P is an algebra over a Laurent polynomial ring. This algebra has a natural basis consisting of structure sheaves of Schubert varieties. The structure constants for multiplication with...

A class of novel deferred correction methods, integral deferred correction (IDC) methods [2], is studied. This class of methods is an extension of ideas introduced by Dutt, Greengard and Rokhlin [1] on spectral deferred correction (SDC) methods for...

For any positive integer n and any space X, Sub{n}(X) denotes the space of all finite subsets of X of cardinality at most n. This is almost like a configuration space but not quite. It appears in various contexts in algebraic and differential...

Formation of endocytic vesicles is a complex, dynamic process that couples sequential protein recruitment and lipid modifications with dramatic shape transformations of the plasma membrane. How the proper timing and coordination of these events is...

The so called "Moore Bound" is one of the great puzzles of graph theory. It is an upper bound on the girth of a d-regular graph on n vertices; it is almost immediate, and appeared in publication roughly 50 years ago. However, this bound has only been...

Recent results proposed a systematic use of conservation laws models on networks for urban vehicular traffic. We first describe modelling issues and relative analysis. Then we discuss numerics and challenges raising in real cases, addressing...

Let X be a (smooth, projective) rational surface, with an ample line bundle H. We consider the moduli spaces M_n of H-stable rank 2 torsion- free sheaves on X with second Chern class n. For a line bundle L on X there is an associated line bundle L_n...

Every knot can be embedded in the union of finitely many half planes with acommon boundary line in such a way that the portion of the knot in each half plane is a properly embedded arc. The minimal number of such half planes is called the arc index...

Synchronization of heterogeneous systems consisted of oscillatory and passive elements are studied in cardiac myocytes (CM)/fibroblasts (FB) co-cultures. It is found that beating clusters of CM surrounded by FB will be formed. The beatings of the CM...