## Scientific Lectures

- 15-Mar-07

- 14-Mar-07

Hardy's Uncertainty Principle for Lie Groups

A classical theorem due to Hardy says that a non-zero measurable function on the real line and irs Fourier transform cannot both have very strong exponential decay. Hardy's theorem also holds for Rn, and during the past ten years there more››

University of Alberta

- 13-Mar-07

Mean Curvature Flows For Isoparametric Submanifolds

Isoparametric submanifolds in Euclidean spaces and spheres are submanifolds with constant pincipal curvatures. We will show that the mean curvature flows of such submanifolds behaves very well. They always converge in finite time to smooth submani more››

University of British Columbia

- 12-Mar-07

Red points and blue points occur as independent Poisson processes in R^d, and we consider schemes to perfectly match red points to blue points in a translation-invariant way. For any matching scheme in dimensions 1 and 2, the distance X from a typ more››

University of British Columbia

- 12-Mar-07

One of the central tenets of signal processing is the Shannon/Nyquist sampling theory: the number of samples needed to reconstruct a signal without error is dictated by its bandwidth-the length of the shortest interval which contains the support o more››

University of British Columbia

- 12-Mar-07

Characters of unipotent groups over finite fields

Let G be a connected unipotent group over a finite field F_q. For each natural number n, we have the unique extension F_{q^n} of F_q of degree n, and we can form the finite group G(F_{q^n}) of points of G defined over F_{q^n}. An interesting more››

University of British Columbia

- 9-Mar-07

Amoebas, Coamoebas, and Tropical Geometry

Given a triangle with side lengths 1, log x, log y and opposite interior angles π-u-v, u, v, the functional determinant ∂(x,y)/∂(u,v) is identically equal to 1. This amusing fact is a special ins more››

University of Calgary

- 9-Mar-07

Multiscale Models of Solid Tumor Growth and Angiogenesis: Effect of the Microenvironment

TBA more››

University of British Columbia

- 8-Mar-07

Risk management for a hydro-based generator

This talk will cover some of the practical applications of risk analysis and hedging programs for a hydro-based energy generator such as BC Hydro. Risk management for BCH provides a unique challenge due to the significant variability in available more››

University of British Columbia

- 7-Mar-07

Symmetric Markov chains on Z^d with unbounded range

We consider symmetric Markov chains on ^d where we allow arbitrarily large jumps. Under a uniform second moment condition on the conductances, we look at estimates on the transition probabilities, Harnack inequalities, and CLTs. This is joint wor more››

University of British Columbia

- 7-Mar-07

Identifications in Modular Group Algebras

Let G be a finite p-group and F a field of characteristic p>0. In this talk I shall explain how Lie theoretic methods can be used to identify certain subgroups of G inside the augmentation ideal of the group algebra FG. more››

University of British Columbia

- 6-Mar-07

Non-convex non-coercive variational problems arising from the economics of asymmetric information

TBA more››

University of British Columbia

- 5-Mar-07

I will present an overview of some recently developed methods for imaging with array and distributed sensors when the environment between the objects to be imaged and the sensors is complex and only partially known to the imager. This brings in mo more››

Simon Fraser University

- 2-Mar-07

In this paper, directional frames, known as curvelets, are used to recover seismic data and images from noisy and incomplete data. Sparsity and invariance properties of curvelets are exploited to formulate the recovery by a $\ell_1$-norm promoting more››

University of British Columbia

- 1-Mar-07

Almost-primes represented by quadratic polynomials

Dirichlet's theorem on primes in arithmetic progressions characterizes those linear polynomials which take on prime values infinitely often. However, this is where the current state of knowledge ends. For the case of polynomials with higher degree more››

University of British Columbia

- 1-Mar-07

Goldton-Yildirim-Pintz and small gaps between primes

I'll give an expository talk, following the recent article of Soundararajan, on the theorem of Goldston, Yildirim, and Pintz that there are infinitely many primes p such that the next prime q satisfies q – p = o(log p). more››

University of British Columbia

- 28-Feb-07

I will talk about some famous results of Bayer and Diaconis (1992) which permit a rigorous answer to the following question: given a deck of n cards, how many times should it be shuffled so that the deck is in approximately random order? The goal more››

University of British Columbia

- 28-Feb-07

On braided and ordinary Hopf algebras

Braided Hopf algebras occur naturally in the structure theory of ordinary Hopf algebras. I will show how they arise in this context and how they can be used to construct (and possibly to classify) ordinary finite dimensional Hopf algebras. more››

University of Alberta

- 27-Feb-07

Littlewood-Richardson coefficients: Reduction formulae and a conjecture by King, Tollu and Toumazet

Littlewood-Richardson coefficients are structural constants of the cohomology ring of Grassmannians and the ring of Schur functions, and they are counted by the number of skew tableaux with certain properties. In this talk, we introduce well more››

University of British Columbia

- 27-Feb-07

Detecting Spillover: A dynamical systems modeling approach to glutamatergic synaptic signaling

The connectivity of neurons in the hippocampus depends in part on whether neurotransmitter from one release site can leak out and activate receptors in another synapse or extrasynaptic patch. The existence of such 'spillover' is under debate in th more››

University of British Columbia