Scientific Lectures

  • 18-Jul-06

Introduction to Wavelets

Wavelets are a new approach used in the analysis of sounds and images, as well as in many other applications. The wavelet transform provides a mathematical analog to a music score: just as the score tells a musician which notes to play whe   more››

Simon Fraser University

  • 12-Jul-06

Some arithmetic problems raised by rabbits, cows and the Da Vinci Code

In 1202, the Italian mathematician Leonardo da Pisa, alias Fibonacci, introduced a sequence of numbers that nowadays bears his name. Under the assumption that rabbits breed (producing a pair of rabbits) when   more››

Simon Fraser University

  • 12-Jul-06
  • 11-Jul-06

The Physics of Eternity

The Physics of Eternity Recent evidence points to an open universe, where time might run forever. If we take the current laws of physics, and run things forward, what could we see of the far future? We find some predictions out to 10**15 years are fa   more››

Simon Fraser University

  • 7-Jul-06

Polynomials, Permutations, Prime Ideals, and factoring Polynomials modulo p

The talk began as an attempt to answer the following question - if f(x) is an irreducible polynomial with integer coefficients, does it remain irreducible modulo p for infinitely many primes p? It turns out that the answer is sometimes yes and som   more››

Simon Fraser University

  • 27-Jun-06

On the Untraced Second Bianchi Identities in General Relativity

Einstein's equations set space-time curvature traces proportional to the space-time's mechanical content expressed as a stress- energy tensor. The divergence of a stress-energy tensor is the external force density acting on the matter described by th   more››

Simon Fraser University

  • 22-Jun-06

Modelling homotopy n-types in algebraic topology and category theory

Homotopy n-types are topological spaces with trivial homotopy groups in dimension greater than n. They arise naturally in algebraic topology and category theory. Both these areas of mathematics have seen the development of models of n-types. In th   more››

University of British Columbia

  • 21-Jun-06

DIGITAL SNOWFLAKES

Several mathematical models of snow crystal growth will be discussed. For a popular class of cellular automata known as Packard's Snowflakes, one can develop a fairly complete rigorous theory, addressing limiting density, fractal shapes and   more››

University of British Columbia

  • 13-Jun-06

Relativistic Wave equations in Discrete phase space

A new representation of quantum mechanics involving finite difference operators will be presented. Relativistic lattice Klein-Gordon equation, Dirac equation, and Maxwell's equations as partial difference equations will be discussed. It is proved tha   more››

Simon Fraser University

  • 6-Jun-06

Quantification of Blow-up Levels for a 2-D Elliptic Equation with Critical Exponential Nonlinearity

We study sequences of solutions of some elliptic PDE’s, on 2-dimensional bounded domain, with critical Moser-Trudinger exponential nonlinearity. We prove that lack of compactness occur only when standard bubbles appear and thus we can quantify t   more››

University of British Columbia

  • 5-Jun-06

Stochastic PDEs for Sampling Conditioned SDEs

Stochastic PDEs for Sampling Conditioned SDEs   more››

Simon Fraser University

  • 5-Jun-06

Large Inverse Problems and Infinite Dimensional Sampling: Stochastic PDE for Sampling Conditioned SD

There are a variety of important applications which may be formulated as inverse problems where the object of interest is the time-dependent solution of a dynamical system. Examples include the sampling of rare events in molecular dynamics, data assi   more››

Simon Fraser University

  • 31-May-06

Probability Seminar 2006

On the existence of cut points for Brownian motion on fractals   more››

University of British Columbia

  • 25-May-06

Data Driven Algorithm Design

Bernard Chazelle (born November 5, 1955) is a professor of computer science at Princeton University. Although he is best known for his invention of the soft heap data structure and the most asymptotically efficient known algorithm for finding mini   more››

Simon Fraser University

  • 24-May-06

Quantum Information Theory for Mathematicians

In this talk I will give an overview of quantum information theory, with an emphasis on some of the underlying mathematics. In particular, quantum algorithms depend on a physical property of quantum systems,entanglement, which may be characterized   more››

University of British Columbia

  • 24-May-06

MITACS Math Biology Seminar 2006

Rolling is an important manifestation of biological cell adhesion, especially for the leukocyte cell in the immune process. It combines several phenomena such as the affinity, the junction and failure between specific adhesion molecules, and an ac   more››

University of British Columbia

  • 5-May-06

Algebraic Topology Seminar 2006

We study the concepts of homotopy disjointness and homotopy disjointness by small deformation for mappings between spheres. Joint work with Daciberg Goncalves produced the following result. The existence of a mapping f: S^(4n-2)   more››

University of British Columbia

  • 3-May-06

Probability Seminar 2006

The first part of the talk gives a survey about BSDE. Linear BSDE have been introduced by Bismuth (1973) in Control Theory. The existence of solutions for Lipschitz BSDE was proven by Peng, and for quadratic BSDE by Lepeltier/San Martin and by Kob   more››

University of British Columbia

  • 1-May-06

Algebraic Geometry Seminar 2006

Mixed Hodge structures on the cohomology of theta divisors     more››

University of British Columbia

  • 26-Apr-06

Renormalization analysis of hierarchically interacting two-type branching models

Linearly interacting diffusions model the evolution of colonies of populations. When the interaction kernel is of an appropriate form and the diffusions are indexed by the hierarchical group, the large scale space-time behavior of the system exhib   more››

University of British Columbia