Résumés - regroupés par sessions

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• Conférenciers principaux
• Prix
• Prix Adrien-Pouliot de la SMC
• Conférence Coxeter-James de la SMC
• Conférence du Prix de doctorat de la SMC
• Conférence populaire
• Combinatoire algébrique
• Théorie d'approximation
• Géométrie arithmétique
• Théorie des groupes combinatoire et géométrique
• Algèbre commutative
• Géométrie discrète
• Systèmes dynamiques
• Groupes, équations, géométrie algébrique non-commutative
• Analyse harmonique
• Histoire des mathématiques
• Intéractions entre la science informatique et l'algèbre
• Méthodes mathématiques en statistique
• Mathématiques pour futur(e)s profeseur(e)s
• Théorie des nombres
• Structures spéciales en géométrie différentielle
• Algèbre universelle et complexité
• Communications libres

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Conférenciers principaux

• Michael Bennett - Classical Diophantine equations via modern and not-so-modern methods
• Persi Diaconis - A Mathematician Flips a Coin
• Rostislav Grigorchuk - Algebraic, algorithmic, and spectral properties of automata groups
• François Lalonde - How pure mathematical aspects of String theory can solve deep problems of geometric group theory
• Rainer Steinwandt - Non-abelian groups in public key cryptography

Prix

• Prix Adrien-Pouliot de la SMC
  • Jean-Marie De Koninck - Mathematics and the Media / Mathématiques et médias
• Conférence Coxeter-James de la SMC
  • Izabella Laba - Harmonic analysis and combinatorics: Are we there yet?
• Conférence du Prix de doctorat de la SMC
  • Nicolaas Spronk - Operator spaces and abstract harmonic analysis

Conférence populaire

• Alexei G. Myasnikov - Complexity of computations and cryptography

Combinatoire algébrique

• Nantel Bergeron - Hopf algebra and representation: the Hecke-Clifford case
• Francesco Brenti - Combinatorics of parabolic Kazhdan-Lusztig and R-polynomials for Hermitian symmetric pairs
• Sergey Fomin - Catalan combinatorics of arbitrary type
• Ian Goulden - A direct bijection for the Harer-Zagier formula
• Frederico Incitti
• David Jackson - Combinatorial aspects of the Temperley-Lieb algebra
• Mercedes Rosas - Noncommutative invariants and coinvariants of the symmetric group
• Mark Skandera - Schur nonnegative polynomials
• Richard Stanley - Crossings, nestings, oscillating tableaux, and vacillating tableaux
• John Stembridge - Graded multiplicities in the Macdonald kernel and a bi-graded co-invariant algebra
• Stephanie van Willigenburg - Decomposable compositions and equality of ribbon Schur functions
• Mike Zabrocki - Pattern avoidance and regular languages

Théorie d'approximation

• Thomas Bloom - Random Polynomials and Green Functions
• André Boivin - Approximation on Riemann surfaces: recent results
• Maxim Burke - Entire functions mapping uncountable dense sets of reals onto each other monotonically
• Dimiter Dryanov - A Refinement of an Inequality of R. J. Duffin and A. C. Schaeffer
• Serge Dubuc - The joint spectral radius of a family of matrices
• Richard Fournier - A New Inequality for Polynomials
• Paul Gauthier - Approximation of and by the Riemann zeta function
• Dan Kucerovsky - Quasi-monotone sequences
• Javad Mashreghi - Zeros of functions in the Dirichlet space
• Thomas Ransford - A Denjoy-Carleman maximum principle
• Gerald Schmieder - Extension of the Fusion Lemma
• Jie Xiao - The Heat Equation II: Regularity and Approximation
• Eduardo Zeron - Homotopical obstructions to rational approximation
• Ping Zhou - Divided differences in construction of multivariate Padé approximants

Géométrie arithmétique

• Gil Alon - Bruhat-Tits buildings, p-adic hyperplane arrangements and Orlik-Solomon algebras
• David Boyd - The A-polynomials of periodic knots
• Imin Chen - More on Diophantine equations via Galois representations
• Sebastian Cioaba - Eigenvalues, expanders and Ramanujan graphs
• Pete Clark - On a question of Lang and Tate
• Henri Darmon - Exceptional zeros of p-adic L-functions
• Samit Dasgupta - Stark-Heegner points on modular Jacobians
• Jordan Ellenberg - Elliptic curves over towers of function fields
• Alexandru Ghitza - Cuspidality of Hecke eigensystems (\operatornamemodp)
• Yoshitaka Hachimori - On Iwasawa theory for p-adic Lie extensions
• Ernst Kani - Endomorphisms of Jacobians of Modular Curves and an Application
• Payman Kassaei - A "subgroup-free" approach to canonical subgroups
• Hershy Kisilevsky - Vanishing twists of elliptic L-functions
• Mark Kisin - Modularity of Galois representations
• Manfred Kolster - On Iwasawa l-invariants of number fields
• Gilles Lachaud - Sails and Klein polyhedra
• James Lewis - Algebraic Cycles and Mumford Invariants
• Alvaro Lozano-Robledo - Elliptic Units and Galois Representations
• Marc-Hubert Nicole - A Geometric Interpretation of Eichler's Basis Problem for Hilbert Modular Forms
• Ken Ono - Hilbert class polynomials and traces of singular moduli
• David Savitt - Computing with Galois representations arising from Jacobians of genus 2 curves
• Romyar Sharifi - Iwasawa theory over Kummer extensions
• Ye Tian - Euler Systems of CM points on Shimura curves
• Mak Trifkovich - Rational Points on Elliptic Curves over Imaginary Quadratic Fields
• Hui June Zhu - Point-counting divisibility on totally ramified covers

Théorie des groupes combinatoire et géométrique

• Gregory Bell - Growth of asymptotic dimension of groups
• Bob Burns - Research of Yuri Medvedev at York, 1995-1999
• Ruth Charney - Automorphism groups of spherical and affine type Artin Groups
• Indira Chatterjee - Discrete groups, operator norms and distortion
• Sean Cleary - A finitely presented group with unbounded dead-end depth
• Ross Geoghegan - Cocompact proper \operatornameCAT(0) spaces
• Yair Glasner - Primitive groups, in various geometric settings
• Boris Goldfarb - On the algebraic structure of geometric group rings
• Joint Panel Discussion - Participating Sessions
• John Meier - Euler characteristics of automorphism groups of free products
• Luis Ribes - Pro-p groups acting on profinite trees
• Tim Riley - Diameter and filling length of van Kampen diagrams
• Yves Stalder - Convergence of Baumslag-Solitar groups
• Benjamin Steinberg - On the spectra of lamplighter-types groups and Cayley Machines
• Jennifer Taback - Geodesic languages for Lamplighter groups and Thompson's group F
• Francis Tang - Conjugacy separability of Seifert 3-manifold groups over non-orientable surfaces
• Ted Turner - Test ranks of groups and the Magnus problem FP15
• Karen Vogtmann - Cycles at infinity in Outer space
• Kevin Wortman - Finiteness properties of arithmetic groups over function fields

Algèbre commutative

• Jason Bell - Critical density in integral schemes
• Alessandra Bernardi - Osculating varieties of Veronesean and their higher secant varieties
• Ragnar-Olaf Buchweitz - Free Divisors in Quiver Representations
• Massimo Caboara - Basic Module Operations For The Dumb
• Jaydeep Chipalkatti - Transvectants, Feynman diagrams and normality of a Brill variety
• Brian Coolen - Lower Bounds and Hilbert Functions of Level Algebras
• Susan Cooper - Hilbert Functions Of Subsets Of Complete Intersections
• Daniel Daigle - Endomorphisms of R[X,Y] which are generically automorphic
• Anthony Geramita - Segre-Veronese Embeddings of P¹ × P¹: Secant Varieties and Fat Point Schemes in P²
• Graham Leuschke - Endomorphism Rings of Finite Global Dimension
• Ping Li - The Coincidence Between the Cohen-Macaulay Property and Seminormality
• Moira McDermott - Hilbert-Kunz functions of normal local rings
• Claudia Miller - Extremal Algebras
• Reza Naghipour - Asymptotic behavior of integral closures in modules
• Leslie Roberts - Non-Cohen-Macaulay Projective Monomial Curves
• Michael Roth - A conjecture in nonmodular invariant theory.
• Monireh Sedghi - Asymptotic behaviour of monomial ideals on regular sequences
• Gregory Smith - Toric varieties as fine moduli spaces
• David Wehlau - Separating Invariants

Géométrie discrète

• Karoly Bezdek - On the contact graphs of finite unit ball packings in normed spaces
• Ted Bisztriczky - Cyclic polytopes, hyperplanes and codes
• Aiden Bruen - "The main coding problem"
• Robert Connelly - The Realizability of Graphs
• Robert J. MacG. Dawson - Crooked Wallpaper
• Robert Erdahl - Perfect Delaunay Polytopes
• Jacob E. Goodman - Double-permutation sequences and pseudoline transversals
• Joseph Ling - A Normed Space with the Beckman-Quarles Property
• Barry Monson - Abstract Polytopes over Finite Fields
• Andrei Ordine - Dual cells in a parallelotope tiling and the theory of designs
• Kostya Rybnikov - General Convexity Theory
• Norbert Sauer - Families of graphs
• Egon Schulte - Combinatorial Tiling and Symmetry
• Brigitte Servatius - The 2-Dimensional Rigidity of Certain Families of Graphs
• Maria Sloughter - Realizability of graphs
• Jozsef Solymosi - Lines and Cartesian products on the Complex Plane
• Ileana Streinu
• Godfried Toussaint - On Constructing a Polyhedron from its Vertex Set
• Asia Ivic Weiss - Self-duality of chiral polytopes
• Sue Whitesides - Hardness of a 3D Graph Embedding Problem
• Allan R. Wilks - The Apollonian Supergasket

Systèmes dynamiques

• William Basener - Booming and Crashing Population Dynamics and Easter Island
• Lora Billings - Stochastic Epidemic Outbreaks: Why Epidemics Are Like Lasers
• Stefanella Boatto - Periodic solutions of the Euler's equation on a sphere
• Erik Bollt - Mapping Transport Activity in Stochastic Dynamics, Directly from The Transfer Operator and Learning Noise Induced Multistability
• Bernard Brooks - Discrete Population Dynamic of Easter Island
• Leo Butler - Invariant fibrations of geodesic flows
• Hamideh D. Hamedani - Stopped Semimonotone Nonlinear Stochastic Integral Equations with Martingale Noise
• Harold Hastings - Microscopic fluctuations and pattern formation in a chemical oscillator
• Vassilios Kovanis - Coherence Collapse for Fun and Profit in Optical Systems
• Herbert Kunze - A collage coding approach to an inverse problem for systems of first-order linear PDEs
• Franklin Mendivil - Convergence of a Stochastic approximation scheme
• Tamas Wiandt - Conley Decomposition and Liapunov Functions for Closed Relations

Groupes, équations, géométrie algébrique non-commutative

• Dmitri Bormotov - Effective algorithm for solving one-variable equations in a free group
• Ian Chiswell - Locally invariant orders on groups
• Evelina Daniyarova - Algebraic Geometry over Metabelian Lie Algebras
• Volker Diekert - Word equations over graph products
• Andrew Duncan - Centraliser dimension in partially commutative groups
• Ben Fine - Elementary Free Groups and Tame Automorphisms
• Antony Gaglione - On FP infinite Torsion Groups and a Question of V. H. Dyson
• Bob Gilman - One variable equations over hyperbolic groups
• Joint Panel Discussion - Participating Sessions
• Ilya Kazatchkov - A Gathering Process in Artin Braid Groups
• Olga Kharlampovich - Finiteness results in algebraic geometry for a free group
• Alexei G. Myasnikov - Approximations and non-standard solutions of equations in group
• Vladimir Remeslennikov - Algebraic Geometry over Free Lie Algebras
• Dennis Serbin - Diophantine Problem over fully residually free groups
• Dennis Spellman - Unions of Varieties and Quasivarieties

Analyse harmonique

• James Colliander - On rough blowup solutions of L² critical NLS
• Paul Gauthier - Completeness of certain function spaces
• Pengfei Guan - Homogeneous Weingarten curvature equations
• Kathryn Hare - Energy and Hausdorff dimensions of measures
• Xinhou Hua - Meromorphic Functions Sharing the Same Zeros and Poles
• Marianne Korten - Existence, uniqueness and regularity of the free boundary in the Hele-Shaw problem
• Izabella Laba - Wolff's inequality for hypersurfaces
• Akos Magyar - A note on Fourier restriction and the Newton polygon
• Javad Mashreghi - One Multiplier theorem, several proofs
• Ming Mei - Phase transitions to 2×2 system of conservation laws with periodic boundary condition
• Marius Mitrea - The solution of the Chang-Krantz-Stein conjecture
• Camil Muscalu - Paraproducts on polydiscs
• Philippe Poulin - The Molchanov-Vainberg Laplacian
• Tom Ransford - Invariant subspaces of the Dirichlet space
• Eric Sawyer - Besov spaces on complex balls: interpolating sequences and trees
• Alina Stancu - Some uniqueness results to a class of differential equations
• Paul Taylor - Bochner-Riesz Means With Respect to a Rough Distance Function
• Dimiter Vassilev - Analytic continuation of the functions P^l
• Jie Xiao - The Heat Equation I: Carleson-Sobolev Estimates

Histoire des mathématiques

• Thomas Archibald - The Reception of Fredholm's work on Integral Equations
• Ryan Beaton
• Jon Borwein - Philosophical Implications of Experimental Mathematics
• Louis Charbonneau - L'algèbre de François Viète et sa réception en France au XVIIe siècle
• David Coyle - Henri Cartan's filters in the Bourbaki archives
• Joseph Dauben - Suan Shu Shu (A Book on Numbers and Computation): Problems in Collating, Interpreting and Translating the Most Ancient Yet-Known Chinese Mathematical Text
• Robert Dawson - The Slide Rule in the 21st Century Classroom: Cultural Icon and Manipulative
• Paul Deguire - Teaching history of maths to non scientists
• Harold Hastings, Marysia Weiss, Yihren Wu - A Century of Topological Dynamics-reflections on its impact upon education and research
• Michel Helfgott - Thomas Simpson and Problems of Maxima and Minima
• Robert Irwin - Early Computability Theory
• Alexander Jones - Patterns of deduction in Ptolemy's Almagest
• Niky Kamran - Einstein, Hilbert and the field equations of gravitation
• Jim Lambek - Remarks on the History of Categorial Grammar
• Duncan Melville - Multiplication in Mesopotamia
• Round Table Discussion
• Christiane Rousseau - From Rolle’s theorem to Khovanskii theory of fewnomials
• Nathan Sidoli - Geometrical Analyses in Heron's Measurements
• Glen van Brummelen - Al-Samaw'al's Curious Approach to Trigonometry
• Alexei Volkov - History of traditional Vietnamese mathematics: the state of the field

Intéractions entre la science informatique et l'algèbre

• Peter Ackermann - Gröbner Basis Cryptosystems
• Arkady Berenstein - Geometric Key Establishment
• Andrew Duncan - Quantum computation in finite groups: extending the Deutsch-Jozsa-Høyer algorithm
• Ben Fine - Some Suggestions in Algebraic Cryptography
• Lothar Gerritzen - Planar Calculus
• Dennis Hofheinz - From hard problems to cryptographic security
• Stepan Holub - Binary GPCP is in PTIME
• Joint Panel Discussion - Participating Sessions
• Ilya Kapovich - Subadditivity and its consequences
• Bilal Khan - On positive theories of fully residually free groups
• Martin Kreuzer - Some Applications of Groebner Bases to Group Theory
• Stuart Margolis - Representation Theory and the Theory of Automata and Regular Languages
• Alex D. Miasnikov - Heuristics for The Whitehead Minimization Problem
• Gerhard Rosenberger - Interactions between commutation transitive, conjugately separated and restricted Gromov groups
• Paul Schupp - Groups with polynomial time word problem and large Dehn function
• Lev Shneerson - Growth and infinite words in semigroup varieties
• Vladimir Shpilrain - Combinatorial group theory and public key cryptography
• Jiri Tuma - On Rejewski's reconstruction of Enigma
• Alexander Ushakov - Random annuli diagrams and generic

Méthodes mathématiques en statistique

• Jean-Francois Angers - Mixture of Zero Inflated Densities
• Masoud Asgharian - On the Singularities of the Information Matrix
• Christian Genest - Testing independence revisited / Un nouveau regard sur les tests d'indépendance
• Pierre Legendre - What are the important spatial scales in an ecosystem?
• Brenda MacGibbon - Exact inference for categorical data
• Neal Madras - A Model for Tracking the History of the AIDS Epidemic
• Paul Marriot - Mixture Models and Geometry
• Bruno Remillard - Bootstrapping methods for empirical processes
• Louis-Paul Rivest - Utilisation des quaternions pour la modélisation statistique du mouvement humain
• Alain Vandal - Weak order partitioning of interval orders, with application to survival analysis

Mathématiques pour futur(e)s profeseur(e)s

• France Caron - The transition from secondary to elementary: a teacher educator's experience
• Viktor Freiman - Pre-service teachers communicate with schoolchildren about mathematical problems through the Internet site CAMI: building new learning communities
• Frederic Gourdeau - Different mathematics for teachers
• John Grant McLoughlin - Developing the Number Sense of Mathematics Teachers
• Richard Hill - A Capstone Course for Future Secondary Math Teachers
• Bernard Hodgson - Formation initiale en mathématiques des enseignants du primaire et du secondaire : l'expérience de l'Université Laval
• Leo Jonker - What can a mathematics department do to improve the preparation of elementary school teachers?
• Cathy Kessel - Toward a solid school mathematics
• Morris Orzech - Reexamining the real numbers with prospective teachers
• Christiane Rousseau - A course "Mathematics and technology" for preservice teachers

Théorie des nombres

• Mark Bauer - Construction of Hyperelliptic Function Fields of High Three-Rank
• Alina C. Cojocaru - Exceptional primes for elliptic curves
• Jean-Marie De Koninck - Esthetic numbers and game theory
• Karl Dilcher - On finite pattern-free sets of integers
• Jack Fearnley - The Fundamental Critical Points of Modular Elliptic Curves
• Harald Helfgott - Power-free values of polynomials with prime arguments
• Habiba Kadiri - Applications of explicit zero-free regions.
• Wentang Kuo - A Remark on the Sato-Tate Conjecture
• Youness Lamzouri - Smooth numbers and delayed integral equations
• Jung-Jo Lee - Ranks of elliptic curves
• Claude Levesque - Systèmes fondamentaux d'unités de composés de deux corps cubiques
• Yu-Ru Liu - A prime analogue of Erdös-Pomerance's conjecture for elliptic curves
• Said Manjra - On the E-functions
• David McKinnon - Rational Approximation on Algebraic Varieties
• Roger Patterson - Sequences of rational torsion on Jacobians
• Guillaume Ricotta - On non-trivial real zeros of L-functions
• Damien Roy - Criteria of algebraic independence
• Michael Rubinstein - Announcing the L-function Calculator
• Renate Scheidler - Class Number Approximation in Cubic Function Fields
• Cam Stewart - On prime factors of n!+1
• Zhi-Hong Sun - Quartic residues and binary quadratic forms
• Alain Togbe - Complete Solutions of a Family of Cubic Thue Equations
• Gary Walsh - Quantitative results for Diophantine m-tuples of polynomials
• Hugh C. Williams - Computing the Regulator of a Real Quadratic Field
• Guangwu Xu - Nonadjacent Radix-t Expansions of Integers in Euclidean Imaginary Quadratic Number Fields
• Liangyi Zhao - Large Sieve Inequality for Special Characters

Structures spéciales en géométrie différentielle

• Vestislav Apostolov - Extremal Kähler metrics and Hamiltonian 2-forms
• Henrique Bursztyn - Dirac structures and symmetries in symplectic geometry
• Adrian Butscher - Construction of Special Legendrian Surfaces of the Sphere of Higher Genus
• Benoit Charbonneau - Analytic aspects of periodic instantons
• Gordon Craig - Dehn Fillings and Asymptotically Hyperbolic Einstein Manifolds
• David Duchemin - Quaternionic contact structures in dimension 7
• Marco Gualtieri - Generalized geometry
• Pengfei Guan - Conformal deformation of Ricci tensor
• Marianty Ionel - Families of Calibrated 4-folds
• Niky Kamran - Decay of scalar waves in Kerr geometry
• Spiro Karigiannis - Properties of Moduli Spaces of G₂ Metrics
• Maung Min-Oo - Calibrated cycles in vector bundles with special holonomy
• Ruxandra Moraru - Hypercomplex structures on instanton moduli spaces

Algèbre universelle et complexité

• David Mix Barrington - Complexity for Groupoids Given by Table
• Martin Beaudry - Finite aperiodic loops as language-recognizing devices
• Manuel Bodirsky - Constraint Satisfaction Problems with Infinite Domains
• Andrei Bulatov - Complexity of constraint counting problems
• Victor Dalmau - Constraint Satisfaction Problems and the Expressiveness of Finite Algebras
• Ricard Gavalda - Learnability of functions defined by programs over semigroups
• Pavol Hell - List Partition Problems
• Miki Hermann - An Algebraic Approach to the Complexity of Generalized Conjunctive Queries
• Andrei Krokhin - Supermodular lattices and the complexity of constraint optimisation
• Gabor Kun - On the fundamental group and coverings of finite posets
• Francois Lemieux - Groupoids that recognize only regular languages
• Cynthia Loten - Retractions on Reflexive Graphs
• Jaroslav Nesetril - Density, Complexity, Universality
• Steve Seif - Word and constraint satisfaction problems
• Howard Straubing - C-varieties of Morphisms into Finite Monoids
• Csaba Szabó - The compexity of solving polynomials over finite algebras
• Pascal Tesson - On the complexity of solving systems over finite semigroups
• Jiri Tuma - Congruence liftings of diagrams
• Matt Valeriote - Tractable Algebras and Congruence Distributivity
• Ross Willard - Finitely axiomatizable varieties and pseudo-varieties

Communications libres

• Ryuichi Ashino - A pre-processing design for the discrete multiwavelet transform of irregularly sampled data
• Chantal Buteau - Topological Spaces of Music Motives: An Application of T₀-Spaces
• Adela N. Comanici - Transition from Rotating Waves to Modulated Rotating Waves on a Sphere
• Bruce Gilligan - Kähler homogeneous manifolds
• Federico Incitti - Combinatorial invariance for rank 5 intervals in the symmetric group
• Joseph Khoury - A note on elementary derivations
• Renata Otahalova - The simplest subspace of generators of matrix algebras
• Emile Pelletier - Instrument De-Synthesis Using Wavelets