15:00
Blurred exponentiation and the geometry of exponential fields
Abstract
11:00
From Polynomial Interpolation to the Complexity of Ideals
Abstract
One natural question in interpolation theory is: given a finite set of points
in R^n, what is the least degree of polynomials on R^n needed to induce every
function from the points to R? It turns out that this "interpolation degree" is
closely related to a fundamental measure of complexity in algebraic geometry
called Castelnuovo-Mumford regularity. I'll explain these ideas a new
application to projections of varieties.
14:00
Pricing Credit Derivatives and Measuring Credit Risk in Multifactor Models
15:45
From Ising 2D towards Mumford-Shah (joint work with Reda Messikh)
Abstract
10:00
17:00
14:15
11:30
Differentiable operad, Kuranishi correspondence, and the foundation of topological field theory
15:45
New developments in LAPACKJ and ScaLAPACK
Abstract
In this talk we shall be looking at recent and forthcoming developments in the widely used LAPACK and ScaLAPACK numerical linear algebra libraries.
Improvements include the following: Faster algorithms, better numerical methods, memory hierarchy optimizations, parallelism, and automatic performance tuning to accommodate new architectures; more accurate algorithms, and the use of extra precision; expanded functionality, including updating and downdating and new eigenproblems; putting more of LAPACK into ScaLAPACK; and improved ease of use with friendlier interfaces in multiple languages. To accomplish these goals we are also relying on better software engineering techniques and contributions from collaborators at many institutions.
After an overview, this talk will highlight new more accurate algorithms; faster algorithms, including those for pivoted Cholesky and updating of factorizations; and hybrid data formats.
This is joint work with Jim Demmel, Jack Dongarra and the LAPACK/ScaLAPACK team.
17:00
Convex and polyconvex functionals depending on higher order derivatives: partial regularity results
14:15
Electricity spot price modelling with non-Gaussian Ornstein-Uhlenbeck processes.
16:30
Analysis for the Nonlinear Electrolyte Wedge Problem
Abstract
This talk will discuss recent work on 3-phase junctions (electrolyte wedges)
in porous electrodes, including nonlinear reaction kinetics. Recent work on
reaction route representations (Kirchoff graphs) will also be discussed.