Scientific Lectures

  • 14-Sep-06
  • 14-Sep-06

Nucleation of localised pattern in continuous media

The formation of patterns from quiescence under the continuous variation of a parameter has long been of interest across the physical and life sciences since the pioneering work of Alan Turing. We describe how spatially localised patches of patter   more››

University of British Columbia

  • 13-Sep-06

The loop-erased random walk and the uniform spanning tree on the four-dimensional discrete torus

Let x and y be points chosen uniformly at random from the four-dimensional discrete torus with side length n. We show that the length of the loop-erased random walk from x to y is of order n2 (log n)^{1/6}, resolving a conjecture of Benjamini and   more››

University of British Columbia

  • 13-Sep-06

Ionic and Metabolic Mechanisms in Pulsatile Insulin Secretion

Insulin is secreted in pulses with a period of about 5 minutes from the beta-cells of the pancreas. These pulses are in turn driven by oscillations of cytosolic calcium. Two parallel streams of investigation over more than two decades have studied   more››

University of British Columbia

  • 13-Sep-06

Subfactors and (1+1)-dimensional TQFTs (Part 2)

University of British Columbia

  • 12-Sep-06

Subfactors and (1+1)-dimensional TQFTs (Part 1)

In this joint work with Vijay Kodiyalam (IMSc, Chennai) and Vishwambhar Pati (ISI, Bangalore), we construct a certain 'cobordism category' D whose morphisms are suitably decorated cobordism classes between similarly decorated closed oriented 1-man   more››

University of British Columbia

  • 11-Sep-06

Linearly reductive finite group schemes

I will report on joint work with Dan Abramovich and Martin Olsson. We classify linearly reductive finite group schemes in positive or mixed characteristic, and use this to define a good replacement for the notion of orbifold in positive or mixed c   more››

University of British Columbia

  • 5-Sep-06

Prime numbers, Riemann, and Langlands

Prime numbers have held a mystery over number theory since before Euclid. To introduce a powerful new tool to the subject, Riemann defined his analytic zeta function; with it, he described the Prime Number Theorem and conjectured Riemann's Hypothe   more››

University of British Columbia

  • 30-Aug-06

Geometric flow in Kahler manifold

We will discuss some recent results on the Calabi flow, short time existence, stability and extension theorem. The Calabi flow is a 4th order parabolic flow which is gradient flow of certain convex functional in infinite dimensional space. If we h   more››

University of British Columbia

  • 22-Aug-06

Characterizing projective spaces

University of British Columbia

  • 9-Aug-06

CECM Summer Meeting 2006

CECM, Maplesoft, MITACS, IRMACS and PIMS are pleased to present "CECM 2006", a summer conference hosted by CECM under the title "Summer Workshop on Computational Mathematics" at Simon Fraser University. The Workshop   more››

Simon Fraser University

  • 18-Jul-06

Heisenberg-Weyl groups and their application to sequence design

We will describe how Heisenberg-Weyl groups appear in the construction of phase coded radar waveforms, in the design of spreading sequences in wireless communications, and in the theory of classical and quantum error-correcting codes. Interesti   more››

Simon Fraser University

  • 18-Jul-06

Question and Answer Session

A rare event for students (undergraduate and graduate) to meet two of the most acclaimed mathematical scientists of our time. PIMS invites you to attend a special informal question & answer session with these speakers after their lectures, to be   more››

Simon Fraser University

  • 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