Pacific Institute for the Mathematical Sciences - PIMS

Quantum Information and Many Body Physics Workshop

http://pitp.physics.ubc.ca/confs/qinfo-mbody/index.html   more››

Scientific Event

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››

Scientific Event

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››

Scientific Event

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››

Scientific Event

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››

Scientific Event

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››

Scientific Event

On Securitization, Market Completion and Equilibrium Risk Transfer

We propose an equilibrium framework within two price financial securities written on non-tradable underlyings such as temperature indices. We analyze a financial market with a finite set of agents whose preferences are described by a convex dynami   more››

Scientific Event

Asymptotic shapes of random polytopes

We consider random polytopes, generated as intersections of closed halfspaces (containing 0) bounded by the hyperplanes of a Poisson process of hyperplanes (satisfying only some homogeneity property under dilatations). The central question (a very   more››

Scientific Event

WCOM Fall 07

http://people.ok.ubc.ca/bauschke/wcom07.html   more››

Scientific Event

Risk Measures with Comonotonic Subadditivity or Convexity and Respecting Stochastic Orders

Taking subadditivity as a main axiom Artzner et.al.(1997, 1999) introduced the coherent risk measures. Song and Yan (2006) introduced risk measures which are comonotonically subadditive or convex. Recently we introduced risk measures which are not   more››

Scientific Event

PIMS-CINVESTAV Mathematics of Oil Exploration Workshop

There will be ten 40-minute lectures by distinguished mathematical scientists and researchers in oil exploration as well as sessions for discussion of problems and future collaborations. It will be an excellent opportunity to bring together e   more››

Industrial Event

MITACS Math Finance Seminar 2007

The Mutual Fund Theorem (MFT) is considered in a general semimartingale financial market $ with a finite time horizon T. It is established that: 1) If for given utility functions (i.e. investors) the MFT holds true in all Brown   more››

Scientific Event

The unfinished revolution: space, time and the quantum

Between 1905 and 1926 Einstein, Bohr and others initiated a scientific revolution by the introduction of quantum mechanics and relativity theory. The revolution is unfortunately still incomplete, because there are major unresolved issues. Th   more››

Scientific Event

On the geometry of interest rate models

The purpose of this talk is to give an overview of some recent work concerning the structural and geometric properties of the evolution of the forward rate curve in an arbitrage free bond market. The main problems to be discussed are as follows.   more››

Scientific Event

Optimal investment under partial information

We consider the problem of maximizing terminal utility in a model where asset prices are driven by Wiener processes, but where the various rates of returns are allowed to be arbitrary semi-martingales. The only information available to the investo   more››

Scientific Event

2-Dimensional Lp-Minkowski problem

et S^{n-1}subset R^n be the unit sphere. The L_p-Minkowski problem proposed by Lukwak is a natural generalization of the classical Minkowski problem. Analytically, it is equivalent to find positive solutions of the equation det(   more››

Scientific Event

Finite Element Analysis of CAD Large Assemblies

In today's product development and engineering process, usage of computer aided design (CAD) platform is obvious. It allows crating of quite realistic models, precisely describing not only the geometry of the developed prototype, but also its phys   more››

Scientific Event

International Graduate Training Centre in Mathematical Biology - First Graduate Research Summit

The IGTC is a new PIMS initiative to develop and enhance graduate training opportunities in the Pacific Northwest. As part of this Math-Biology IGTC, the Graduate Research Summit will provide an opportunity for graduate students, post-docs and   more››

Scientific Event

lambda(lambda(n)): A case study in analytic number theory

A 2005 result of Carl Pomerance and myself identifies the normal order (that is, the asymptotic size for 100% of integers) of the twice-iterated Carmichael lambda-function ?(?(n)), a function that arises when considering an exponential pseudorandom n   more››

Scientific Event

Powers in progression, Chebotarev, and Hilbert class polynomials

I will sketch some rather odd connections between ternary Diophantine equations, the Chebotarev Density Theorem and heights of Hilbert class polynom   more››

Scientific Event