Abstracts - grouped by symposium

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• Plenary Speakers
• Prizes
• CMS Coxeter-James Lecture
• CMS Doctoral Prize
• Public Lecture
• Financial Mathematics
• Finite Elements
• History of Mathematics
• Lie Algebras and Moonshine
• Mathematical Education: Now I See !!!! Dynamic Visualisations in Canadian Mathematics Education
• Number Theory
• Operator Algebras
• Partial Differential Equations
• ``Real-World'' Problems in Search of Solutions
• Representation Theory of Real and p-adic Groups
• Symplectic Geometry
• Theory and Applications of Point Processes
• Contributed Papers

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Plenary Speakers

• James Arthur - Universal groups in the theory of automorphic forms
• Rene Carmona - Mathematical challenges of the energy markets
• Victor Guillemin - Cutting and gluing in symplectic geometry
• Maciej Zworski - Quantum resonances in chaotic scattering

Prizes

• CMS Coxeter-James Lecture
  • Lisa Jeffrey - Symplectic quotients and their cohomology
• CMS Doctoral Prize
  • David Kerr - C^*-dynamics and entropy

Public Lecture

• Robert Zuccherato - Passwords: are they the weakest link?

Financial Mathematics

• Robert Almgren - Continuous-time model for household portfolios
• Ian Buckley - Portfolio optimization for alternative investments
• Abel Cadenillas - Optimal stochastic impulse control of the free cash flow
• Tahir Choulli - Minimal Hellinger martingale measures in incomplete markets
• Ali Lavassani
• Eric Renault - Stochastic volatility models
• Tom Salisbury - Liquidity premiums for variable annuities
• Dave Saunders - Optimal structuring of asset portfolios for insurance products with minimum guarantee provisions
• George Stoica - Market completeness: a return to order
• Agnes Tourin - Maximizing the probability of being solvent in the presence of transaction costs
• Tony Ware - Numerical explorations of swing options

Finite Elements

• Francois Bertrand - A local refinement based fictitious domain method for the simulation of fluid flow in complex geometries
• Yves Bourgault - A mortar element for coupling hyperbolic and parabolic problems
• Alain Charbonneau - Une méthode adaptative d'éléments finis permettant le calcul des modes propres d'un guide d'ondes optiques
• Michel Delfour - Approximation of the dose for thin coated stents in interventional cardiology
• Kokou Dossou - Higher order vector edge finite element analysis of optical waveguides
• Ross Ethier - Finite element modelling of coronary artery hemodynamics
• André Fortin - Reconstruction géométrique, estimation d'erreur et remaillage adaptatif: application à la mise en forme des polymères
• Robert Guenette - Méthodes de dualité convexe pour la résolution par éléments finis de problèmes de contact en mécanique des solides
• Daniel Le Roux - An appropriate finite-element pair to simulate inertia-gravity waves
• P.D. Minev - Analysis of a projection/characteristic scheme for incompressible flow
• Dominique Pelletier - Sensitivity and uncertainty analysis in CFD
• Bruce Simpson - Computing the deltas; efficiency-accuracy trade offs in solving Black Scholes equations
• Leila Slimane - Méthodes mixtes pour la résolution des inéquations variationnelles
• Azzedine Soulaimani - On the solution of free surface flows with the SPH and related methods

History of Mathematics

• Michael Barr - The Chu construction: history of an idea
• Len Berggren - A tenth-century mathematician: Abu al-Jud, his life and work
• Jonathan Borwein - Digitizing the entire mathematical literature: what wild surmise!
• Joan DeBello - The history of the Magic Square in mathematics
• Florin Diacu - Spiru Haretu and the stability of the solar system
• Hardy Grant - Mathematics in the thought of Nicholas Cusanus
• Niky Kamran - The scientific correspondence between Einstein and Cartan-Letters on absolute parallelism
• Francois Major - Recurrent patterns in the ribosome
• John McKay - The j-function and its natural generalization
• Angelo Mingarelli - R.G.D. Richardson, Canadian born mathematician
• Christiane Rousseau - Divergent series: past, present, future
• Luis Seco - A historical prespective of mathematics in the financial industry
• Viena Stastna - B. Bolzano: life and work
• Larry Stouder - Network computing-past, present, and future
• Peter Zvengrowski - Olinde Rodrigues, a mathematician ``in the shadow''

Lie Algebras and Moonshine

• Bruce Allison - Isomorphism of loop algebras
• Yuri Bahturin - Locally finite simple Lie algebas
• Georgia Benkart - Temperley-Lieb combinatorics
• Nantel Bergeron - Temperley Lieb invariants and covariants
• Stephen Berman - Some Factorizations of U.E.A.'s of 3 dimensional Lie algebras and some generalizations
• Yuly Billig - Representations of the full toroidal Lie algebras
• Chris Cummins - Congruence subgroups of the modular group
• Marcelo Pereira de Oliveira - A universal Bergman element
• Dragomir Djokovic - The closure diagram for nilpotent orbits of the split real form of E₈
• Chongying Dong - The monstrous moonshine and permutation orbifolds
• Terry Gannon - CFT and subfactors
• Yun Gao - A `quantized Tits-Kantor-Koecher' algebra
• Haisheng Li - Vertex algebras and vertex poisson algebras
• Adrian Ocneanu - Quantum subgroups, lattices and canonical bases of Lie groups
• Arturo Pianzola - Automorphisms of Chevalley Lie algebras
• Matthew Szczesny - Twisted modules, conformal blocks, and Prym varieties
• Yoji Yoshii - Lie tori and structurable tori
• Noriko Yui - The modularity of Calabi-Yau threefolds with K3 fibrations

Mathematical Education: Now I See !!!! Dynamic Visualisations in Canadian Mathematics Education

• Stewart Craven
• Tom Steinke
• Peter Taylor
• Walter Whiteley

Number Theory

• Michael Bennett - Elliptic curves with prescribed torsion and good reduction outside a small set
• Douglas C. Bowman - Integers n for which the integer parts of n ×a+ s are not equal to the integer parts of n ×b+ s
• Kwok-Kwong Stephen Choi - Binary sequences with merit factors greater than 6.34
• Alina Cojocaru - The square sieve and the Lang-Trotter conjecture
• Chantal David - On the vanishing of twisted L-functions of elliptic curves
• Eric Freeman - Systems of cubic diophantine inequalities
• John Friedlander - On some exponential sums over Mersenne numbers
• Eyal Goren - Local structure of PEL moduli spaces
• Manfred Kolster - Divisibility properties of special values of L-functions for quadratic characters
• Wentang Kuo - Summatory functions of elements in Selberg's class
• Jung-Jo Lee - Twists of elliptic curves
• Greg Martin - Sidon sets and symmetric sets of real numbers
• David McKinnon - Counting rational points on ruled varieties
• Kumar Murty - Splitting of Abelian varieties
• Ram Murty - Irreducible elements and irreducible polynomials
• Yiannis Petridis - The distribution of modular symbols
• Cameron L. Stewart - On sums which are powers
• Jeffrey Lin Thunder - Asymptotic estimates for some Diophantine inequalites
• Michel Waldschmidt - Algebraic values of analytic functions

Operator Algebras

• Berndt Brenken - C^*-algebras associated with topological relations
• Man Duen Choi - The ultimate norm estimate for complex matrices
• Ken Davidson - Spans and sums of unitary and similarity orbits of a single operator
• George Elliott - Recent progress in the classification of amenable C^*-algebras
• Remus C. Floricel - E₀-semigroups of von Neumann algebras
• Nigel Higson - The residue cocycle of Connes and Moscovici
• Masoud Khalkali - Invariant cyclic homology
• Claus Koestler - L^p-martingales on q-white noises
• Dan Kucerovsky - Locally absorbing extensions
• Marcelo Laca - KMS states of Pimsner algebras
• Jamie Mingo - Two Point functions for families of random matrices and non-crossing annular partitions
• Matthias Neufang - Amplification of completely bounded operators and applications
• Vladimir Pestov - The fixed point on compacta property of some topological groups related to operator algebras and ergodic theory
• John Phillips - Centre-valued index of Toeplitz operators with noncommuting symbols
• Ian Putnam - Recent results on topological orbit equivalence
• Roland Speicher - Free probability

Partial Differential Equations

• Richard Beals - Propagators for some degenerate hyperbolic equations
• Nicolas Burq - Non-linear Schrödinger boundary value problems
• Tanya Christiansen - Pseudospectra in automorphic scattering
• Jim Colliander - Global existence and scattering for rough solutions of 3d NLS
• Andrew Comech - Purely nonlinear instability of minimal energy standing waves
• Peter Greiner - Subelliptic PDE's and subRiemannian geometry
• Dmitry Jakobson - Critical points and L_p norms of eigenfunctions
• Chris Sogge - Eigenfunction estimates and applications
• Catherine Sulem - On asymptotic stability of solitary waves for nonlinear Schrödinger equations
• Andras Vasy - Many-body scattering and symmetric spaces
• Jared Wunsch - The sojourn relation and the Schrödinger equation
• Steve Zelditch - Quantum ergodicity of boundary values of eigenfunctions

``Real-World'' Problems in Search of Solutions

• Liang Chen - Polarization mode dispersion and polarization dependent loss in single mode fiber communication systems
• General Discussion
• General Discussion
• Eric Dubois - Representation of 3D environments based on images
• Mary Hefford - Calculating protein-protein interactions in proteomes in both health and disease
• André Longtin - Stochastic dynamics of biological information
• Rejean Munger - Modeling the optics of the human eye: An interesting mathematical enigma
• Michael Rudnicki - The stem cell genomics project

Representation Theory of Real and p-adic Groups

• Heather Betel
• Clifton Cunningham - On some depth-zero orbital integrals
• Stephen DeBacker - Some applications of Bruhat-Tits theory to harmonic analysis
• Julee Kim - Character expansions and refined K-types
• Wentang Kuo - Principal nilpotent orbits and reducible principal series
• Jason Levy - Invariance and Arthur's truncation
• Paul Mezo - The unitary dual for metaplectic coverings of general linear groups
• Fiona Murnaghan - Distinguished supercuspidal representations
• Monica Nevins - Branching rules for principal series representations of p-adic SL(2)
• Alfred Noël - Maximal Tori of reductive centralizers of nilpotents in exceptional complex symmetric spaces
• Eric Sommers - Ideals in the nilradical of a Borel subalgebra
• Fernando Szechtman - Weil representations of symplectic and unitary groups over finite local rings
• Yuanli Zhang - R-groups and Aubert involutions

Symplectic Geometry

• Anton Alekseev - Poisson Geometry and the Kashiwara-Vergne conjecture
• Henrique Bursztyn - Notions of equivalence for Poisson manifolds
• Rebecca Goldin - Counting chambers of the moment polytope
• Megumi Harada - The symplectic geometry of the Gel'fand-Cetlin basis for representations of the symplectic group
• Tara Holm - Symplectic quotients and real loci
• Jacques Hurtubise - Dynamical r-matrices and bundles on elliptic curves
• Yael Karshon - Blow-ups of CP² without torus actions
• Ely Kerman - Symplectic homology and periodic orbits near symplectic extrema
• Askold Khovanskii - Newton polyhedra and Parshin's symbols
• Misha Kogan - Degenerating Schubert varieties to unions of toric varieties associated to rc-graphs
• François Lalonde - Critical values for the moduli space of symplectic balls in a rational 4-manifold
• Eugene Lerman - Contact fiber bundles
• Liviu Mare - Quantum cohomology of flag manifolds and Toda lattices
• David Metzler - Presentation of noneffective orbifolds
• Ramin Mohammadalikhani - Cohomology ring of symplectic reductions by circle actions
• Jedrzej Sniatycki - Singular reduction of Poisson spaces
• Jonathan Weitsman - Euler MacLaurin formulas for simple polytopes
• Siye Wu - Lattice polarization and projective flatness
• Ping Xu - Equivariant gerbes over compact simple Lie groups
• Catalin Zara - Morse interpolation and divided differences

Theory and Applications of Point Processes

• Francois Baccelli - Stochastic geometry and modelling of coverage and capacity in CDMA networks
• Raluca Balan - Markov point processes in Bayesian nonparametric statistics
• John Braun - Point Processes and Applications
• Gail Ivanoff - Random clouds and censoring in survival analysis
• David McDonald - Do birds of a feather flock together?
• Richard Serfozo - Reversible Markov processes on general spaces: spatial birth-death and queueing
• Jiashan Tang - Balancing queues by mean field interaction

Contributed Papers

• Martin Argerami - The Schur-Horn Theorem in II₁ factors
• Murray Bremner - Quantization of Lie and Jordan triple systems
• Vahid Dabbaghian - An efficient algorithm to construct representations of finite groups
• Hans Heinig - Exponential inequalities with weights
• Trevor Jones - Computing some nonstandard Betti numbers
• Valentina Kiritchenko - A Gauss-Bonnet theorem for constructible sheaves on reductive groups
• Kunquan Lan - Multiple positive solutions of higher order boundary value problems
• Claude Levesque - A fundamental system of units for some fields of degree 9
• Ravil Moukhometov - On problem of the reconstruction of metric on the Riemannian manifold
• Amritanshu Prasad - Almost unramified automorphic representations for slpit groups over F_q(t)
• Ronald Sklar - Mathematical techniques for circumventing query-set-size control in a statistical database
• Vladlen Timorin - Circles and Clifford algebras