Pacific Institute for the Mathematical Sciences - PIMS

21st Annual Pacific Northwest Numerical Analysis Seminar

http://www.amath.washington.edu/~pnwnas/2007/   more››

Scientific Event

Mappings of finite distortion: analysis in the extreme

Degenerate structures arise naturally in many questions in PDE's and calculus of variations as well as in their applications. Mappings of finite distortion study how far the powerful tools of geometric analysis can here reach; the theory of these   more››

Scientific Event

International Graduate Institute on Modeling Environmental Space – Time Processes

PIMS invites applications for the International Graduate Summer School on Modeling Environmental Space - Time Processes designed for graduate students or Postdoctoral fellows in the statistical sciences as well as others with a solid background   more››

Scientific Event

TIES North American Regional Meeting

For more information, please click here to visit the external site.   more››

Scientific Event

Making a Splash, Breaking a Neck: The development of complexity in physical systems

The fundamental laws of physics are very simple. They can be written on the top half of an ordinary piece of paper. The world about us is very complex. Whole libraries hardly serve to describe it. Indeed, any living organism exhibits a degree of c   more››

Scientific Event

The Good, the Bad, and the Awful: Scientific Simulation and Prediction

Worthwhile computer simulations are done to explore uncharted territory, resolve a well-posed scientific or technical question, or to make a design choice. Some excellent work is reviewed. Some less happy stories are recounted. I th   more››

Scientific Event

Eigenvalue Problem and a New Product in Cohomology of Flag Varieties

This is a report on my joint work with P. Belkale. We define a new commutative and associative product in the cohomology of any flag variety G/P (which still satisfies the Poincaré duality) and use this product to generate certain inequalities wh   more››

Scientific Event

Non-reductive group actions and symplectic implosion

Given a linear action of a complex reductive group on a projective variety X, geometric invariant theory provides us with an open subset of X (the set of stable points) which has a well-behaved quotient, and a compactification of this quotie   more››

Scientific Event

Going with Flow and Updating Ocean Models

Much data in the ocean come from Lagrangian instruments that float or drift. Mathematical issues arise from the need to assimilate these and other data into ocean models.   more››

Scientific Event

WEST COAST OPTIMIZATION MEETING: SPRING 2007

The original website for this event has been removed.   more››

Scientific Event

The sharp isoperimetric inequality on minimal submanifolds

We will describe the history of the conjecture that the isoperimetric inequality with the Rn constant should hold for a domain on a minimal submanifold of dimension n in Euclidean space. We will then describe a new method which pr   more››

Scientific Event

Scheduling, Percolation, and the Worm Order

When can you schedule a multi-step process without having to take backward steps? Critical are an old concept called "submodularity", a new structure called the "worm order", and a variation of what physicists call "percol   more››

Scientific Event

Recent developments on the well-posedness of dispersive equations

We will review the progress in the last 20 years on the well-posedness theory of dispersive equations, concentrating in the case of the Korteweg- de Vries equation to illustrate it. We will then describe some of the current challenges in the area,   more››

Scientific Event

Quantum Mechanics, the Stability of Matter, and Quantum

Ordinary matter is held together with electromagnetic forces, and the dynamical laws governing the constituents (electrons and nuclei) are those of quantum mechanics. These laws, found in the beginning of last century, were able to account for the   more››

Scientific Event

10th Anniversary Speaker Series 2007

The peculiar quantum-mechanical properties of the ground states of Bose gases that were predicted in the early days of quantum-mechanics have been verified experimentally relatively recently. The mathematical derivation of these properties from Sc   more››

Scientific Event

A Phragmen-Lindelof and Saint Venant principle in harmonic analysis

Let S be a linear space of vector valued functions u(y) on the half-line whose values belong to some Banach space. We suppose that S is translation invariant; that is, if u(y) belongs to S, so does u(y+t) for all t>0. S is called 'interior comp   more››

Scientific Event

Statistical modeling in setting air quality standards

The earth's atmosphere is a stochastic complex system which includes amongst other things pollution fields some of which derive from anthropogenic sources. Because of their negative health impacts, these fields are now the subject to regulation. H   more››

Scientific Event

On Some of the Differences Between Z and Z^2 in Dynamics

Around 1970 it was discovered that measure preserving actions of Z^2 on probability spaces can have remarkably different properties from Z-actions, i.e. from actions of single transformations. Many of these differences can be described as 'rigidit   more››

Scientific Event

Emergence and Flocking

We give a mathematical model with ordinary differential equations and the graph laplacian towards the problem: what decentralized mechanisms give rise to common features as language? A critical exponent plays a role in this deterministic setting.   more››

Scientific Event

Topology, data and vision

Large data sets usually have some geometric core. We give some results toward understanding that core.   more››

Scientific Event