## Scientific Lectures

- 8-Feb-07

Let M be a 3-manifold with boundary consisting of one torus. I will show how Culler and Shalen defined a norm on the (real) Dehn-surgery space R2=H_1(partial M; R) associated to the canonical component of the character variety of M. I will then sh more››

University of British Columbia

- 8-Feb-07

Neil Immerman is one of the key developers of 'descriptive complexity', which he is currently applying to research in model checking, database theory, and computational complexity theory. Immerman is the winner, jointly with Róbert Szelepcsényi, more››

University of British Columbia

- 7-Feb-07

The term structure of interest rates

The interest rate r(t,t+x) between time t and time t+x is a smooth function of x, say ho_t(x). We consider ho_t as a stochastic process on (0,infty) into a suitable Hilbert space of curves, and we seek to define it as the solution of more››

University of British Columbia

- 7-Feb-07

Proof of Yuzvinsky's conjecture in the case of square matrices

Yuzvinsky's conjecture, posed in 1981, is concerned with a certain matrix coloring problem which arose from the classical studies of sums of squares. In this talk I will present a proof of the conjecture in the case of square matrices. The ideas o more››

University of British Columbia

- 6-Feb-07

Selfdual variational principles for Shrodinger and Navier-Stokes equations.

University of British Columbia

- 1-Feb-07

Strong normality and modular normality

The notion of normality was intended to capture random behaviour in the digits of numbers, but some clearly patterned numbers pass the normality test; we propose a stronger test of normality that is passed by almost all numbers but failed by Champ more››

University of British Columbia

- 1-Feb-07

Quartic K3 surfaces without nontrivial automorphisms

We will deal with a gap in a result of Bjorn Poonen. He found explicit examples of hypersurfaces of degree d³3 and dimension n³1 over any field, such that the group of automorphisms over the algebraic closure is trivial, except for the pairs (n, more››

University of British Columbia

- 31-Jan-07

Nilpotent commutators and reducibility of semigroups

Let f be a noncommutative polynomial in two variables. Let mathcal{S} be a multiplicative semigroup of linear operators on a finite-dimensional vector space and T a fixed linear operator such that f(T,S)=0 for all S in mathcal{S}. What can w more››

University of British Columbia

- 29-Jan-07

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››

University of British Columbia

- 29-Jan-07

Statistical modeling in setting air quality standards

The earth's atmosphere is a stochastic complex system which includes amongst other things pollution fields some of which derive from anthropogenic sources. Because of their negative health impacts, these fields are now the subject to regulation. H more››

University of Washington

- 26-Jan-07

Sequential Experiment Design for Contour Estimation from Computer Simulators

In many engineering applications, one is interested in identifying the inputs to a computer simulator that lead to a pre-specified output. In this talk we introduce statistical methodology that identifies the desired contour in the input space. Th more››

Simon Fraser University

- 25-Jan-07

Robust Stochastic Discount Factors

When market is incomplete a new non-redundant derivative security cannot be priced by no arbitrage arguments alone. Moreover there will be a multiplicity of stochastic discount factors and each of them may give a different price for the new deriva more››

University of British Columbia

- 25-Jan-07

UBC Mathematics Department Colloquium Hosted by PIMS-UBC 2007

A discrete group has 'Property (T)' if every isometric (affine) action of the group on Hilbert space has a global fixed point. This is a spectral-gap property and was originally defined by Kazhdan to study lattices in Lie groups. Recently Gromov f more››

University of British Columbia

- 24-Jan-07

Long-term evolution of polygenic traits under frequency-dependent intraspecific competition

We analytically investigate the long-term evolution of a continuously varying quantitative character in a diploid population that is determined additively by a finite number of loci. The trait is under a mixture of frequency-dependent disruptive s more››

University of British Columbia

- 23-Jan-07

New singular solutions of the Nonlinear Schrodinger equation (NLS)c

The study of singular solutions of the NLS goes back to the 1960s, with applications in nonlinear optics and, more recently, in BEC. Until recently, the only known singular solutions had a self-similar 'peak-type' profile that approaches a delta f more››

University of British Columbia

- 23-Jan-07

Mirkovic-Vilonen cycles on the affine Grassmannian

The geometric Satake correspondence relates representation theory to the geometry of the affine Grassmannian. In particular, certain subvarieties of the affine Grassmanian, called Mirkovic-Vilonen cycles, give bases for representations of complex more››

University of British Columbia

- 19-Jan-07

A Simple Technique for Solving Partial Differential Equations on Surfaces

Many applications require the solution of time dependent partial differential equations (PDEs) on surfaces or more general manifolds. Methods for treating such problems include surface parameterization, methods on triangulated surfaces and embeddi more››

Simon Fraser University

- 19-Jan-07

One of the most recurrent themes in Geometry, is the study of objects that locally look the same. I will explain, mainly via examples and in non-technical terms, how the concept of 'locally look the same' has evolved through time (mostly through s more››

University of British Columbia

- 18-Jan-07

In this talk I will present two pieces of work in progress. In the first half of the talk I will speak about the evolution of phenotype determining mechanisms. Many heterogeneous environments favour different phenotypes in different places or at d more››

University of British Columbia

- 17-Jan-07

MITACS Math Finance Seminar 2007

We study the existence of a numeraire portfolio for a discrete time financial market with proportional transaction costs. In an incomplete market without frictions, consistent prices for derivative securities can be obtained by taking the expectat more››

University of British Columbia