## Past Events at the University of British Columbia

### Past Events

- 26-Mar-08

The Adams-Riemann-Roch theorem and applications

We shall formulate the Adams-Riemann-Roch theorem, which is a refinement of the Grothendieck-Riemann-Roch theorem taking into account torsion. We shall apply the theorem to the de Rham complex. This will lead to a conjecture on the torsion of the more››

Scientific Event

- 25-Mar-08

Composition of Time-Consistent Dynamic Monetary Risk Measures in Discrete Time

In discrete time, every time-consistent dynamic monetary risk measure can be written as a composition of one-step risk measures. We exploit this structure to give new dual representation results for time-consistent convex monetary risk measures in more››

Scientific Event

- 21-Mar-08

Models of Initiation and Propagation of Dendritic Spikes in Hippocampal CA1 Pyramidal Neurons

In computational models of hippocampal CA1 pyramidal neurons with active dendrites, distal synaptic inputs trigger dendritic spikes, but in many cases these spikes do not propagate reliably to the soma to produce output action potentials in the ax more››

Scientific Event

- 21-Mar-08

The weighted essentially non-oscillatory (WENO) methods are popular spatial discretization methods for hyperbolic partial differential equations. In this talk I show that the combination of the widely used fifth-order WENO spatial discretization ( more››

Scientific Event

- 20-Mar-08

The moduli space of homotopy G-spheres

I will discuss joint work with Jesper Grodal. A homotopy G sphere is a space that is homotopy equivalent to a sphere and has an action of the group G. Two homotopy G spheres are equivalent if there is a zigzag of equivariant weak equivalneces that more››

Scientific Event

- 20-Mar-08

Neighboring clusters at Bernoulli percolation

The study of Bernoulli percolation on general infinite transitive graphs was initiated by a paper of Benjamini and Schramm in 1996, and has been intensive since then. One of the interesting phenomena is that for certain graphs there is a value of more››

Scientific Event

- 20-Mar-08

Entropy functionals and the Ricci flow

In this talk I'll present my recent results on the log entropy functional and the Sobolev inequalities along the Ricci flow, including their applications to the Ricci flow with surgery. I'll also present the extension of these results to noncompa more››

Scientific Event

- 20-Mar-08

- 19-Mar-08

Invariants of 3-dimensional Kirby calculus and representation theory

Just as the Jones polynomial can be constructed from the Kauffman bracket, the coloured Jones polynomia l can be obtained from a coloured version of the Kauffman bracket, known as `Temperley-Lieb recoupling theory'. If the bracket is eval uated a more››

Scientific Event

- 19-Mar-08

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››

Scientific Event

- 18-Mar-08

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››

Scientific Event

- 18-Mar-08

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››

Scientific Event

- 18-Mar-08

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

Scientific Event

- 17-Mar-08

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››

Scientific Event

- 14-Mar-08

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››

Scientific Event

- 13-Mar-08

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››

Scientific Event

- 13-Mar-08

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››

Scientific Event

- 13-Mar-08

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››

Scientific Event

- 11-Mar-08

Scientific Event

- 11-Mar-08

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››

Scientific Event