Réunion d'été 2002 de la SMC

Résumés - regroupés par symposiums
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Conférences des lauréats

Conférence Jeffery-Williams de la SMC

Conférence Krieger-Nelson de la SMC

Conférenciers principaux

Conférence spéciale

Conférence populaire

Analyse

Géométrie algébrique arithmétique

Algèbres associatives

Théorie des catégories

Combinatoire

Cryptographie

Géométrie différentielle

Systèmes dynamiques

Théorie des graphes

Éducation mathématique: L'enseignement et l'apprentissage de la géométrie : pourquoi, quoi, comment.

Mathématiques financières

Théorie des nombres

Théorie des probabilités

Algèbre universelle

Communications courtes

Conférences des lauréats

Conférence Jeffery-Williams de la SMC

Edwin Perkins - Super-Brownian motion and critical spatial stochastic systems

Conférence Krieger-Nelson de la SMC

Priscilla Greenwood - Random walk searches the Genome

Conférenciers principaux

David W. Henderson - How can we encourage students to think like a mathematician?
Nikolai Nikolski - Resolvents bounds and their use in analysis
Christophe Reutenauer - Tableaux bialgebras and noncommutative character theory of symmetric groups
Paul D. Seymour - Strong perfect graph theorem
Isadore M. Singer - Forty years of index theory

Conférence spéciale

Robert P. Langlands - Et les démonstrations!

Conférence populaire

Jean-Marie De Koninck - Ces mathématiques amusantes, importantes et intrigantes

Analyse

Line Baribeau - Iterated function systems and the l-lemma
Alain Bourget - Nodal statistics for the Lamé ensemble
Alex Brudnyi - Bounded analytic functions on special Riemann surfaces
Yin Chen - An improved bound for spectral variation near algebraic elements
Brian Cole - Polynomial formulas for the disk and the bidisk
Galia Dafni - A duality theorem for some function spaces related to H¹ and BMO
Richard Fournier - On certain spaces of metrics of hyperbolic type
Andrea Fraser - A characterization of some singular integral operators on the Heisenberg group
Paul Gauthier - The existence of universal inner functions on the unit ball of Cⁿ
Finnur Larusson - Recent developments in the theory of disc functionals
Norm Levenberg - Distribution of nodes on algebraic curves in C^N
Javad Mashreghi - Argument of outer functions
Petr Paramonov - Uniform approximation of (stationary) gravitational fields. Extension and related capacity
Evgeny Poletsky - Analytic multifunctions and Jensen measures
Dominic Rochon - A Cantor set for bicomplex numbers
Jeremie Rostand - Sur les automorphismes de la boule unité spectrale / On the automorphisms of the spectral unit ball
Anatoli M. Sedletski - Muntz-Szasz type approximation
Zbigniew Slodkowski - Evolution of compact subsets of C² by Levi curvature
Pascale Vitse - Functional calculus under Kreiss and Ritt condditions
John Wermer - Approximation on the unit sphere in C2

Géométrie algébrique arithmétique

D. Arapura - Hodge cycles on some moduli spaces
B. Conrad - J₁(p) has connected fibers
H. Darmon - To be announced
Jordan Ellenberg - Pro-p fundamental groups and rational points
E. Goren - Hilbert modular varieties of low dimension
Ernst Kani - Hurwitz spaces of genus 2 covers of elliptic curves
H. Kisilevsky - To be announced
J. Lewis - K₂ of curves and the Mumford-Manin conjecture
Yu-ru Liu - Generalizations of the Turán Theorem and the Erdös-Kac Theorem
R. Murty - Effective version of Serre's theorem
Yi Ouyang - On the universal norm distribution
Ivan Soprounov - Residues and tame symbols in toric geometry
Y. Zarhin - Jacobians with prescribed cyclotomic endomorphism ring

Algèbres associatives

Ibrahim Assem - Laura algebras
Josée Bilodeau - Hochschild cohomology of stable Auslander algebras
Juan Carlos Bustamante - Hochschild cohomology and simplicial cohomology of algebras
François Huard - Unit forms of tree algebras
Mark Kleiner - The graded preprojective algebra of a quiver
Marcelo Lanzilotta - About weakly shod algebras
Jessica Lévesque - Module inclinant sur un produit fibré
Shiping Liu - Mesh algebras without outer derivations
Alex Martsinkovsky - Noncommutative sheaf cohomology over Koszul quiver algebras
Robert Raphael - Ring epimorphisms and C(X)
David Smith - From simplicial complexes to partially ordered sets and back

Théorie des catégories

Michael Barr - Absolute homology
Rick Blute - Constructing *-autonomous categories
Marta Bunge - A Van Kampen theorem for Grothendieck toposes
Robin Cockett - Games as polarized categorical proof theory
Pierre Damphousse - Groupe des automorphismes des la categorie des G-ensembles / The automorphisms of the category of G-sets
Robert Dawson - Adjoining adjoints
Jack Duskin - Nerves of bicategories and Simpson-Tamsamani weak 2-categories
Peter Freyd - Algebraic real analysis
Jonathon Funk - More results on branched covers in topos theory
Dale Garraway - Generalized supremum-enriched categries and their sheaves
André Joyal - Kan complexes and quasi-categories
Fred Linton - On associativity for tensor products in varieties
John MacDonald - Embedding of algebras
Michael Makkai - Comparing definitions of weak n-category for low values of n
Susan Niefield - Homotopy pullbacks, lax pullbacks, and exponentiability
Dorette Pronk - Free extensions of double categories
Robert Rosebrugh - Updating views universally
Phil Scott - Yoneda techniques and decision problems
Robert Seely - Poly bicategories of modules
Javad Tavakoli - On completion of a poset in a topos
Joan Wick Pelletier - Spatiality of involutive quantales
Richard Wood - 2-categories of algebras for double dualization 2-monads

Combinatoire

F. Bergeron - Ideals of quasi-symmetric polynomials and related varieties
M. Bousquet - Dénombrement de 2-arbres solides
M. Bousquet-Melou - Walks in a quarter plane
Gerard Duchamp - Algèbres de Hopf de fonctions quasi-symétriques non commutatives / Hopf algebras of non commutative quasi-symmetric functions
I. Gessel - Two-stack-sortable multipermutations
Ian Goulden - Hurwitz numbers and combinatorics
A. Goupil - Polynômes de classes de S_n / Class Polynomials of S_n
G. Labelle - Structures partiellement étiquetées asymétriques
P. Lalonde - Partitions planes descendantes et dualité de chemins
V. Liskovets - Some asymptotic distribution patterns for planar maps
Peter McNamara
Marni Mishna
J. Morse - k-Schur functions and Kostka coefficients
I. Pak - Fighting the involution principle
F. Ruskey - Counting aperiodic strings with given elementary symmetric function evaluations
C. Savage - Anti-lecture hall compositions
G. Schaeffer - The diameter of random planar maps
R. Stanley - Kerov's character polynomial and irreducible symmetric group of rectangular shape
B. van Rensburg - Exchange relations, Dyck paths and copolymer adsorption
X. Viennot - Gravitation quantique Lorentzienne et empilements de dominos / Lorentzian quantum gravity and heaps of dimers
T.R. Walsh - Génération de chaque mot d'un code gray en temps constant / Constant time generation of each word of a gray code
J. West - Somos sequences and perfect matchings
C. Yan - Goncarov polynomials and parking functions
Doron Zeilberger - Deranged Wilf classes
J. Zeng - New identities of Hall-Littlewood polynomials and new identities of Rogers-Ramanujan type

Cryptographie

M. Bauer - Comparative efficiency of cubic function fields
D. Bernstein - Speed records for cryptographic software: an update
I. Blake - Certificates for primes and RSA modulii
P. D'Arco - Distributed oblivious transfer and applications in cryptography
Karl Dilcher - Fermat numbers, Wieferich and Wilson primes: computations and generalizations
S. Hamdy - IQ cryptography: a secure and efficient alternative
A. Hasan - DPA attack resistant Koblitz curve cryptosystems
M. Jacobson - Unconditionally computing fundamental units of real quadratic fields in parallel
R. LaFlamme - Quantum computing
S. Magliveras - Group theoretic cryptography
Dominic Mayers - Non ideal Quantum bit commitment
Mike Mosca - Private quantum channels
K. Murty - Non-linear secret sharing and prime numbers
N. Pippenger - Information attenuation in Quantum channels
R. Scheidler - Efficiency and security of real quadratic field based key exchange
A. Silverberg - Abelian varieties in cryptography
A. Stein - Solving elliptic curve discrete logarithm problems using Weil descent
Alain Tapp - Quantum authentication
S. Tavares - GST: A new family of stream ciphers based on a cascade of small s-boxes
E. Teske - A constructive application of Weil descent in ECC
G. Walsh - An applied application of a conjecture of Oesterle
R. Wei - Cover-free problems in cryptography

Géométrie différentielle

C. Arezzo - To be announced
J. Bryan - Gromov-Witten theory of local Calabi-Yau's and TQFT
Mihail Cocos - On the heat-equation method of M. Gaffney
A. Fraser - Fundamental groups of manifolds with positive isotropic curvature
Jacques Hurtubise - G-bundles over an elliptic curve and dynamical r-matrices
X. Liu - Solving universal equations in Gromov-Witten invariants
P. Lu - Cheeger-Gromov type compactness theorem on oribifolds
D. Matessi - Families of special Lagrangian tori
M. Wang - Painleve analysis, Diophantine conditions, and special holonomy
R. Wentworth - The Yang-Mills flow revisited
Baozhong Yang - Analytic aspects of gauge theories in higher dimensions

Systèmes dynamiques

Bhagwan Aggarwala - Application of predator prey equations to development of HIV/AIDS in Canada
William Basener - Disk global cross sections in flows on manifolds
Bernard Brooks - A rrequency and density dependent multi-allele haploid dynamic
Pietro-Luciano Buono - Restrictions on flows in double Hopf bifurcations for functional differential equations
Monica Gabriela Cojocaru - Projected dynamical systems
Abba Gumel - Dynamics analysis of the effect of condom use on HIV epidemiology
Henrik Kalisch - The effect of attenuation and amplification on dispersion-managed solitons
Candace Kent - The boundedness nature of positive solutions of the sifference squation x[n+1] = max{ A[n]/x[n], B[n]/x[n-1]} with periodic parameters
Witold Kosmala - On the recursive sequence x(n+1) = (p + x(n-k))/x(n)
Herbert Kunze - Solving inverse problems in differential equations using Banach's fixed point theorem
William Langford - Near-reversible 1:1 resonant Hopf bifurcation
Israel Ncube - Possible change in criticality of Hopf bifurcation in a multiple-delayed neural system
Dmitry Pelinovsky - Spectral analysis of optical bistability in finite and semi-infinite nonlinear photonic gratings
Mario Roy - Is the composition of two expansive maps expansive?
Shigui Ruan - Dynamical behavior of an epidemic model with a nonlinear incidence rate
Hassan Sedaghat - On semiconjugates of one dimensional maps
Michael Yampolsky - Mating of quadratic polynomials

Théorie des graphes

P. Balister - Cycle decompositions
E. Dobson - On isomorphisms of circulant digraphs of bounded degree
L. Goddyn - Circular flows and tensions on maps of high edge width
P. Hell - Intersection graphs and list homomorphisms
J. Janssen - A list-colouring algorithm for series-parallel graphs
D. Marusic - Cubic semisymmetric graphs on up to 768 vertices
M. Muzychuk - A solution of the isomorphism problem for circulant graphs
M. Sajna - Almost self-complementary circulant graphs
M. Schultz - Cayley maps and e-morphisms
D. Witte - Flows that are sums of hamiltonian cycles in abelian Cayley graphs
X. Yu - Long cycles in graphs
C.-Q. Zhang - K_p-minor in p-connected graphs

Éducation mathématique: L'enseignement et l'apprentissage de la géométrie : pourquoi, quoi, comment.

Janos Baracs - The teaching of spatial geometry: the 9 basic problems
David W. Henderson et Daina Taimina - Experiencing geometry-workshop
William Higginson - Beyond monocular mathematics
Klaus Hoechsmann - A la recherche du plan perdu
Jacques Hurtubise - Invariance and global properties
Yvan Saint Aubin - Teaching geometry to future teachers
Margaret Sinclair - Using JavaSketchpad to enhance geometry learning
Walter Whiteley - Geometry with eye and hand

Mathématiques financières

Tahir Choulli - An optimization model for a company with constraints on risk control
Abdessamad Karem - Volatlité du CAC40 et changements structurels
Rogemar Mamon - A synthesis of interest rate derivative pricing under the forward measure
George Stoica - Spike prices and spectrum swings
Ruppa K. Thulasiram - A second order L₀ stable algorithm for evaluating European options

Théorie des nombres

E. Benjamin - To be announced
David Bradley - Shuffles and multiple zeta values
Stephen Choi - Norm of Littlewood polynomials
Alina Cojocaru - Square-free orders for non-CM elliptic curves modulo p
Clifton Cunningham - The geometry of depth-zero representations
Henri Darmon - To be announced
Chantal David - To be announced
Leslie Davison - Levy constants for classes of continued fractions
Jean-Marie De Koninck - The median value of the k-th prime factor of an integer
Saïd El Morchid - Base des unités cyclotomiques de certains composés de trois corps abéliens
James G. Huard - Sums of twelve and sixteen squares
Colin Ingalls - Birational classification of orders
Ernst Kani - The class number relations of Kronecker, Gierster and Hurwitz
John Labute - Central series of Galois groups over Q with restricted ramification
Ram Murty - Generalized Hurwitz zeta functions
Ali Ozluk - Distribution of zeros of Dedekind Zeta functions of quadratic extensions of imaginary quadratic number fields
Damien Roy - Approximation of real numbers by cubic algebraic integers
Chip Snyder - On a class number formula for real quadratic
Cameron Stewart - On shifted products which are powers
Francisco Thaine - Cyclic polynomials and the multiplication matrices of their roots
Alain Togbé - On related cubic Thue equations
Gary Walsh - On the product of like-indexed terms in binary recurrence sequences

Théorie des probabilités

Martin Barlow - Random walk on supercritical percolation clusters
Claude Belisle - Convergence properties of hit-and-run samplers
T. Cox - Measure-valued limits of a Lotka-Volterra model
D. Dawson - Hierarchical random walks and HMF limits
W. Hong - Large deviations for the super-Brownian motion
Michael Kouritzin - Markov chain approximations of stochastic reaction-diffusion equations
Neal Madras - Decomposition of Markov chains
C. Mueller - The 3-dimensional wave equation with a singular random potential
J. Quastel - Time decay and fluctuations in conservative particle systems
A. Sakai - High-dimensional graphical networks of self-avoiding walks
Gordon Slade - The incipient infinite cluster for high-dimensional oriented percolation
Chris Soteros - The statistics of embeddings of eulerian graphs in Z^d
George Stoica - Case study of a nonlinear stochastic delay equation
J. Walsh - To be announced
X. Zhou - Dualities involving coalescing Brownian motion

Algèbre universelle

Ji Young Choi - The dimension of a finite algebra
George Gratzer - The case of the shrinking proof: The Dilworth Theorem on embedding every lattice into a uniquely complemented lattice
Benoit Larose - Constraint satisfaction problems, posets and Taylor operations
JB Nation - A gluing construction for projective planes
Bill Sands - Finite distributive lattices and the splitting property
Matt Valeriote - Varieties with few finite members
Ross Willard - Failure of injectivity in finitely generated quasivarieties

Communications courtes

Richard Basener - Boundaries for spaces of functions
Nicolas Beauchemin - Théorie des points critiques pour une fonctionnelle multivoque
Sukhwinder Kaur Bhullat - Thermal stresses in a hexagon region with an elliptic hole under a heat generation
Nicolas Chaumont - Optimisation de créatures virtuelles
Gabriel Chênevert - Sphères homologiques et groupes parfaits
Fabrice Colin - Lemmes de décomposition appliqués à des inégalités de type Hardy-Sobolev
Constantin Costara - La variante spectrale pour le problème de Nevanlinna-Pick
Jean-Lou De Carufel - Une caractérisation des courbes elliptiques sur Q pour certains groupes de torsion donnés
Lassina Dembébé - Explicit computation of Hilbert modular forms on Q(Ö5)
Alexandre Girouard - Enlacement homologique relatif
Alexander Hariton - Symmetries and invariant solutions of a hydrodynamical model
Mikhail Kotchetov - Identities of the smash product of a group algebra and the universal envelope of a Lie superalgebra
Yves Langlois - Inégalité concernant la variation spectrale de matrices
Kevin Vander Meulen - Neighbourly cubes, Hadamard matrices and graph decompositions
Ravil Moukhometov - The Radon transform on the Riemannian manifold
Alvarez Moraga Nibaldo - États propres d'algèbre et états cohérents et comprimés
Marc-Hubert Nicole - F-cristaux avec multiplication réelle
Eduardo Ochs - A system of natural deduction for categories
Primoz Potocnik - Edge-coloring of cubic vertex-transitive graphs
Ralf Schiffler - Singularités des variétés de carquois de type A
Evgenia Soprunova - Zeros of systems of exponential sums
Nicolas Thériault - Weil descent attack for Artin-Schreier curves
Fridolin Ting - Pinning of magnetic vortices by an external potential
Kjell Wooding - Exponentiation and the double based number system