Pacific Institute for the Mathematical Sciences - PIMS

Direct Numerical Simulation of Particulate Flows with Collisions

The comprehension of fluid/solid interactions in moderately to highly concentrated particulate flows is still limited even if the fluid is Newtonian and particles are assumed to be ideal spheres (or circular cylinders in 2D modelling). M ost of t   more››

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Asymptotic stability of ground states in 3D subcritical nonlinear Schroedinger equation

The talk will start with an overview of asymptotic stability results for NLS. By definition, the ground states are stable if a solution starting nearby decomposes into a part convergent to a ground state and a part radiating away. For ma ny years   more››

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Novel strategies for G-CSF support of severe prolonged neutropenia

We develop, in an axiomatic fashion, structurally stable mathematical equations that describe the G-CSF -neutrophil dynamics (the majority of the white blood cells are neutrophils. G- CSF is a factor that may be injected to help patients p   more››

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2008 DG-MP-PDE Seminar-08

Asymptotic stability of ground states in 3D subcritical nonlinear Schroedinger equation   more››

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Cell Signalling Dynamics in Time and Space

The specificity of cellular responses to receptor stimulation is encoded by the spatial and temporal dynamics of downstream signalling networks. Computational models provide insights into the intricate relationships between stimuli and responses a   more››

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The theory of the strong interactions on a space-time lattice

Quantum Chromodynamics has been accepted as the theory of the strong interactions for more than thirty years, ever since the discovery of asymptotic freedom by Gross, Politzer and Wilczek, whose work was recognized with the 2004 Nobel Prize. Des   more››

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Explicit Solutions of Consumption-Investment Problems in Financial Markets with Regime Switching

We consider a financial market with different regimes that are modeled through an observable continuous-time finite-state Markov chain. The rates of returns and volatilities of the market investing assets, the bank interest rate and the investors' ut   more››

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Mathematical Study of Brain Tumor Therapies

Glioma is the most serious malignant brain tumor. In order to improve the efficacy of therapies, it is important to understand its progression with therapies and its genesis. In this talk, I will first present our effort in understanding of glioma   more››

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The abelian/nonabelian correspondence in Gromov-Witten theory II

Given a "good" action of a reductive complex algebraic group G on a projective manifold X, the abelian/nonabelian correspondence refers to a precise relation that exists between topological invariants (cohomology, K-theory) of the Geomet   more››

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Systems of HJB equations

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Asymptotic Error Analysis of Finite Difference Methods

When computing approximations to PDE problems with smooth solutions using regular grids, the error has additional structure. For second order methods applied to elliptic or parabolic problems, an expansion for the error can be constructed t   more››

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2008 DG-MP-PDE Seminar-07

Systems of HJB equations   more››

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Manipulating Thin-Film Flows: From Patterned Substrates to Evaporating Systems

Here we describe two variants of thin-film flows, one involving wetting and the other involving evaporation. First, we describe the spreading of mostly wetting liquid droplets on surfaces decorated with assemblies of micron-size cylindrical posts   more››

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Chern-Simons/Gromov-Witten duality

In this talk I hope to introduce Large N duality relating Chern-Simons gauge theory and Gromov-Witten theory. I will discuss some conjectures and theorems surrounding this subject and joint work with Sergiy Koshkin.   more››

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The abelian/nonabelian correspondence in Gromov-Witten theory I

Given a "good" action of a reductive complex algebraic group G on a projective manifold X, the abelian/nonabelian correspondence refers to a precise relation that exists between topological invariants (cohomology, K-theory) of the Geomet   more››

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Dynamic Properties of Microtubules in Plant Cells, with Implications for Spatial Organization, Growth and Development

Microtubules are dynamic polymers found in all eukaryotic organisms that build the cellular machines that separate chromosomes, polarize the cytoplasm, direct expansion and divide cells. Interestingly, plant cells lack the central microtubule-orga   more››

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An update on spaces of embeddings

The Cerf-Morlet comparison theorem states that the group of diffeomorphisms of the compact n-ball which is the identity on the boundary is an (n+1)-fold loop space, whose (n+1)-fold de-looping is the homotopy-quotient of the group of the PL-homeom   more››

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Asymptotic stability of lattice solitons in the energy space

TBA   more››

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2008 DG-MP-PDE Seminar-06

Asymptotic stability of lattice solitons in the energy space   more››

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A Compactification of the space of Maps from Curves

We will present a new compactification of the moduli space of maps from pointed nonsingular complex projective stable curves to a nonsingular complex projective variety with prescribed ramification indices at the points. It will be explained that   more››

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