## Scientific Lectures

- 27-Mar-08

Effective equidistribution of Hecke eigenvalues

For a fixed prime p, we consider the space S(N,k) of cusp forms of weight k and level N, with N coprime to p. In 1995, J.-P. Serre proved the existence of a measure up with respect to which the eigenvalues of the pth Hecke operator acting on S(N,k) a more››

University of British Columbia

- 27-Mar-08

In this expository talk, I'll be discussing the work of Granville and Soundararajan on sums of multiplicative functions in arithmetic progressions. more››

University of British Columbia

- 26-Mar-08

Mathematical Change in the 19th Century: Issues and Approaches

The 19th Century is the period during which the university-based international mathematical community came into being. It is also a time when mathematics changed profoundly, becoming more abstract, and distancing itself to some degree in it more››

University of Victoria

- 26-Mar-08

The stakes of capture-recapture models with state uncertainty

The development of the use of CR multistate models is a major feature of the last 5 years. However, concerns have rightfully appeared about uncertainty in state assignment. I examine situations where uncertainties seem to be intrinsic such as with more››

University of British Columbia

- 26-Mar-08

Error Estimates of Discontinuous Galerkin Methods for Elliptic Problems

We introduce the discontinuous Galerkin methods for elliptic problems, which are closely related to the penalty methods, to establish the optimal error estimates in the energy and L^2 norms of the discontinuous Galerkin methods, and to verify the more››

University of British Columbia

- 26-Mar-08

Classification problems in algebraic geometry

This talk will attempt to give a survey (for non-experts) of a few of the many fascinating problems and results concerning moduli spaces in algebraic geometry, and in particular some moduli spaces associated to the simplest objects of algebraic ge more››

University of Washington

- 26-Mar-08

Geometric approaches to parameter estimation for differential equations.

Parameter estimation for differential equations is a fundamental problem, but work in this area is incomplete. One difficulty is the presence of local minima which trap optimization algorithms, resulting in poor fits. Incorporating geometric featu more››

University of British Columbia

- 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››

University of British Columbia

- 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››

University of British Columbia

- 25-Mar-08

A Computational Economics Approach to Policy Models: Applications to Natural Resources

Dr. Howitt's talk will focus on Maximum Entropy estimators and Chebychev polynomial approximations to costate functions, with examples available for download in two papers, more››

University of Calgary

- 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››

University of British Columbia

- 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››

University of British Columbia

- 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››

University of British Columbia

- 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››

University of British Columbia

- 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››

University of British Columbia

- 20-Mar-08

Entropy functionals and the Ricci flow more››

University of British Columbia

- 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››

University of British Columbia

- 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››

University of British Columbia

- 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››

University of British Columbia

- 18-Mar-08

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

University of British Columbia