## Scientific Lectures

- 31-Jan-08

When optimization becomes irrelevant: time-inconsistency and its consequences

In optimal control, one traditionally discounts the future at a constant rate: a gain u occurring at time t>0 is valued today at u exp(-rt), where r is the discount rate. If non-constant discount rates are used, as they should more››

University of Victoria

- 29-Jan-08

Root numbers and Selmer groups of elliptic curves

The theory of root numbers predicts when elliptic curves over number fields have rational points of infinite order. In this talk, we shall discuss results which bring together the root numbers and non-commutative Iwasawa theory. It is joint work with more››

University of British Columbia

- 29-Jan-08

Elliptic divisibility sequences are integer recurrence sequences, each of which is associated to an elliptic curve over the rationals together with a rational point on that curve. I'll give the background on these and present a higher-dimensional ana more››

University of British Columbia

- 24-Jan-08

Financial Hedging of Operational Flexibility

We extend the framework of real options to value the compound timing option owned by a manager of an industrial asset. The operator has control over the production modes, but faces operational constraints which introduce path-dependency. Moreover, more››

University of British Columbia

- 18-Jan-08

The purpose of this talk is to explore the new generation of computational mechanics procedures based on modern developments in computational geometry. The emphasis will be on the Isogeometric approach in which basis functions generated from NURBS more››

University of Alberta

- 18-Jan-08

Monitoring the health of Queensland's rivers: steps to designing an optimal spatial sampling scheme

Spatial sampling design is a key step in developing an optimal large-scale, multi-objective aquatic monitoring program. Aquatic systems can be complex and irregular, thus it is critical to ensure that a spatial design is statistically valid, imple more››

Simon Fraser University

- 17-Jan-08

- 17-Jan-08

Determinants of Laplacians as functions on spaces of metrics more››

University of British Columbia

- 15-Jan-08

Polynomial configurations in difference sets more››

University of British Columbia

- 14-Jan-08

Sensors, signal processing hardware, and algorithms are under increasing pressure to accommodate ever larger and higher-dimensional data sets; ever faster capture, sampling, and processing rates; ever lower power consumption; communication over ev more››

University of British Columbia

- 10-Jan-08

A bound from below for the temperature in compressible Navier-Stokes equations more››

University of British Columbia

- 13-Dec-07

We consider the well-known edge-disjoint path problem (EDP) where we are given a graph G and pairs of nodes (“demands”) s1t1, s2t2, . . . sktk. A subset F of {1, 2, . . . , k} is routable if there exists |F| edge-disjoint paths in G that conne more››

University of Victoria

- 30-Nov-07

Banach algebras of continuous functions and measures, and their second duals

For every Banach algebra A, there are two products on the second dual space A'' that make A'' into a Banach algebra; they may or may not coincide. A lot of information about the original algebra A comes easily by looking at these second duals. We more››

University of Alberta

- 29-Nov-07

Multi-Banach spaces and Multi-Banach Algebras

The very extensive theories of Banach spaces and Banach algebras, including algebras of operators on Banach spaces, are the foundation stones of much modern analysis. For certain reasons M. Polyakov and I were led to introduce a more more››

University of Alberta

- 23-Nov-07

Efficent smooth GMM through dimension reduction

We propose a new GMM criterion for models defined by conditional moment restrictions that takes into account a number of moment conditions which increases with the sample size. Our criterion allows us to reduce the dimensionality of the conditioni more››

University of Victoria

- 22-Nov-07

Level lowering and Shapiro's conjecture

Let E/Q be an elliptic curve over the rationals. One can associate two rational integers that measure the ramification of this elliptic curve over various primes, the conductor NE and the minimal discriminant ?E. The Szpiro's conjecture states that f more››

University of British Columbia

- 22-Nov-07

Modular methods applied to Diophantine equations

Deep results about elliptic curves, modular forms and Galois representations have successfully been applied to solve FLT and other Diophantine equations. Most of such applications broadly proceed along the following lines. To a hypothetical solution more››

University of British Columbia

- 22-Nov-07

A Paley-Wiener theorem and Arthur's trace formula

Modular forms may be recast and generalized as automorphic representations, which are objects of abstract harmonic analysis. The trace formula is a theorem in harmonic analysis which allows one to compare automorphic representations. The Paley-Wiener more››

University of British Columbia

- 5-Nov-07

A Functional Integral Representation for Many Boson Systems

Functional integrals have long been used, formally, to provide intuition about the behaviour of quantum field theories. For the past several decades, they have also been used, rigorously, in the construction and analysis of those theories. I will more››

University of British Columbia

- 2-Nov-07

Sums of congruent convex bodies

The Minkowski linear combination is a fundamental operation for convex bodies. Further basic structures on the space of convex bodies are the topology induced by the Hausdorff metric, and the operation of the group of rigid motions. Suppose we hav more››

University of British Columbia