## Scientific Lectures

- 15-May-08

Ptolemy's theorem and extensions

Ptolemy's theorem is where serious trigonometry starts, although it is chords of circles rather than right triangles which are the building blocks. Ptolemy's theorem deals with cyclic quadrilaterals, their sides and the diagonals. In Ptolemy's book, more››

University of British Columbia

- 4-May-08
- 10-May-08

Climate Change Impacts on Ecology and the Environment

This workshop will bring together various experts in order to discuss the relevant issue of climate change. Climate change is a serious force on the world today. Potential impacts include greater intensity in rainf more››

University of Alberta

- 29-Apr-08

On the size of the outermost minimal surface in a compact 3-manifold with a spherical boundary more››

University of British Columbia

- 15-Apr-08

Learn from Thy Neighbour: Parallel-Chain Adaptive MCMC

A considerable amount of effort has been recently invested in developing a comprehensive theory for adaptive MCMC. In comparison, there are fewer adaptive algorithms designed for practical situations. I will review some of the theoretical approaches more››

University of British Columbia

- 10-Apr-08

A mathematical model for the control and eradication of a wood boring beetle infestation

We propose a mathematical model for an infestation of a wooded area by a beetle species in which the larva develop deep in the wood of living trees. Due to the difficulties of detection, we presume that only a certain proportion of inf more››

University of Victoria

- 10-Apr-08

Estimation of High-dimensional Covariance Matrix

High dimensionality comparable to the sample size is a common feature in portfolio allocation, risk management, genetic network and climatology. In this talk, we first use a multi-factor model to reduce the dimensionality and to estimate the covarian more››

Simon Fraser University

- 9-Apr-08

Alberta Colleges Mathematics Conference

The Alberta Colleges Mathematics Conference will give you a chance to meet with colleagues from Alberta’s post-secondary institutions primarily to discuss teaching, technology, and curriculum, and to share perspectives on experiences and common int more››

University of Calgary

- 7-Apr-08

Particle Patterns in Dissipative Systems

Particle patterns mean any spatially localized structures sustained by the balance between inflow and outflow of energy/material, which arise in the form of chemical blobs, discharge patterns, morphological spots, or binary convection cells. These ar more››

University of British Columbia

- 27-Mar-08

Model Equations for the Eiffel Tower Profile: Historical Perspective and New Results

A review of mathematical models for the shape of the Eiffel Tower show that they are not consistent with Eiffel's writings. Reported here is a new model derived from Eiffel's concern about wind loads on the tower, as documented in a communication more››

University of Alberta

- 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