## Past Events at the University of British Columbia

### Past Events

- 30-Nov-06

Mathematical models in radiation biology

In this talk, I will review concepts in radiation biology that allow us to model the effectiveness of radiation therapy in the treatment of cancer. In particular, I will focus on the Tumour Control Probability (TCP), which is the probability that more››

Scientific Event

- 30-Nov-06

The action on a tree associated to an ideal point of the character variety

Let G be the fundamental group of a compact, orientable, irreducible 3-manifold M. I will discuss the correspondence between ideal points of a curve in the character variety X(G) and actions of G on a tree (following Culler-Shalen). This is a part more››

Scientific Event

- 29-Nov-06

Homotopical group theory I: p-compact groups

Scientific Event

- 29-Nov-06

Hydrodynamic limits of spatially structured coalescents

We are motivated by a question arising in population genetics, and try to describe the effect of migratory fluxes and spatial structure on the genealogy of a population. This leads to the study of systems particles performing simple random walk on more››

Scientific Event

- 28-Nov-06

Oscillatory integral operators mapping $L^2(mathbb R^{n_1})$ to $L^2(mathbb R^{n_2})$ play an important role in many problems in harmonic analysis and partial differential equations. We will briefly discuss the applicability of these operators in more››

Scientific Event

- 28-Nov-06

Puzzles, Tableaux, and Mosaics

The Littlewood-Richardson numbers show up in a number of different areas of mathematics. They are structure constants of the ring of symmetric functions, which connects them to representation theory and cohomology of Grassmannians. There are now s more››

Scientific Event

- 27-Nov-06

The Rotor-router model and Diaconis-Fulton Addition

Given two sets A and B in the lattice, the Diaconis-Fulton sum is a random set obtained by putting one particle in every point of the symmetric difference, and two particles in every point of the intersection, of A and B. Each 'extra particle' per more››

Scientific Event

- 27-Nov-06

Computation of plurigenera of a canonical threefold

For a canonical threefold, there are few known results about plurigenera. We know that a sufficient multiple of canonical divisor generates a nontrivial linear system and that there is a universal multiple. In this talk, we are going to introduce more››

Scientific Event

- 27-Nov-06

For making genetic networks operate robustly, unintelligent non-design suffices

Five years ago we (George von Dassow, Ed Munro, Eli Meir, and Garrett Odell) made mathematical/computer models of two ancient and famous genetic networks that act early in diverse embryos to establish spatial gene expression patterns prefiguring t more››

Scientific Event

- 24-Nov-06

Micro Fluid Mechanics: Some Interface Dynamics Problems

Interface dynamics is of considerable importance in multiphase microfluidic devices such as microheat pipes, and in dewetting dynamics. We consider a liquid meniscus inside a wedge of included angle [pic] that wets the solid walls with a contact a more››

Scientific Event

- 22-Nov-06

A Geometric Proof of the Blakers-Massey Theorem

In this talk we give a geometric proof of the Blakers-Massey Theorem using Mather's Cube Theorems. As an application, we use this result to compute the James Splitting of Omega S^n. more››

Scientific Event

- 21-Nov-06

Multi-level Micro-Finite Element Analysis for Human Bone Structures

Using microarchitectural bone imaging, it is possible to assess both the apparent density and the trabecular microstructure of intact bones in a single measurement. In combination with microstructural finite element (microFE) analysis this could p more››

Scientific Event

- 21-Nov-06

Generic subsets of Thompson's group

Richard Thompson constructed an example of a group which is called 'F'that has many unusual properties. One way to consider its elements is in terms of pairs of rooted binary trees. This viewpoint lends itself nicely to counting subsets of el more››

Scientific Event

- 20-Nov-06

Modeling relapse in infectious diseases

An integro-differential equation is proposed to model a general relapse phenomenon in infectious diseases including herpes. The basic reproduction number Ro for the model is identified and a threshold property of Ro established. For the case of a more››

Scientific Event

- 16-Nov-06

A Galois correspondence for reductive groups and applications to the First Fundamental Theorems

Following some unpublished ideas of Lex Schrijver we will explain a new approach to the First Fundamental Theorems (FFTs) from classical invariant theory. It uses the tensor product of the two tensor algebras $T(V)$ and $T(V^*)$ with the aim to se more››

Scientific Event

- 16-Nov-06

- 16-Nov-06

SL(2,C) Character Varieties of 3-Manifold Groups

In continuation of the intro from last time, I will give an overview of some applications of SL(2,C) character varieties to 3-manifold topology. We will then discuss possible topics for the following seminars and will assign speakers. more››

Scientific Event

- 15-Nov-06

Random walk in random environment on a strip

I am going to define the model, discuss briefly an interesting particular case of it, and present some limit theorems recently obtained for RWRE on strips. I am going to build my talk around the comparison of this model to the well-studied RWRE on more››

Scientific Event

- 15-Nov-06

Finite subset spaces of the circle and a theorem of Bott

By considering the circle as the boundary of the hyperbolic plane we are able to describe the first three unordered configuration spaces of the circle by considering them as particular quotients of the group of isometries of the hyperbolic plane. more››

Scientific Event

- 14-Nov-06

Galloping instability of viscous shock waves

This is joint work with Kevin Zumbrun (Indiana University). Motivated by physical and numerical observations of time oscillatory galloping, spinning, and cellular instabilities of detonation waves, we study Poincare--Hopf bifurcation of traveling- more››

Scientific Event