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Free Probability and Non-commutative Banach Spaces
January 22 - 27, 2001
- L. Ge: Applications of free entropy
- T. Cabanal-Duvillard: Large deviations for Gaussian matrices and free entropies
- M. Stefan: Some properties of free group subfactors
- Z-J. Ruan: Non-commutative ${\cal L}_p$ spaces and their connections with operator algebras
- R. Smith: Approximation properties for crossed products
- G. Pisier: Multipliers of H1 and power bounded operators
- E. Christensen: The length of a Gamma factor
- W.B. Arveson: Curvature and Dirac operator of a commuting d-tuple
- N. Randrianantoanina: Subspaces of non-commutative Lorentz-spaces
- D. Voiculescu: Free probability analogue of the Wasserstein distance on trace state space
- P. Zinn-Justin: The enumeration of planar maps, links and knots
- A. Nica: R-cyclic families of matrices in free probability
- P. Biane: Free cummulants , matrix orbits and characters of symmetric groups
- R. Speicher: A characterization of freeness by a factorization of operator-valued cummulants
- M. Anshelevich: Ito formula for free Levy processes
- M. Junge: On the local theory of noncommutative L_p spaces
- T. Oikhberg: On finite representability of operator spaces
- M. Musat: Approximation of hyperfinite martingales by finite dimensional martingales
- H.P. Rosenthal: Semi-Transitive Operator Algebras
- A. Sinclair: Singular masas in factors from hyperbolic groups
- B. Magajna: Normal modules and maps
- E. Kirchberg: C* Spaces
- D. Blecher: Multiplier operator algebras and M-structure
- A. Arias: An operator Hilbert space without the operator approximation property
- D. Gaboriau: l^2 -invariants for groups and equivalence relations
- F. Radulescu: Convex sets of moments in von Neumann algebras
- H. Bercovici: Strong and weak limit theorems for free random variables
- S. Thorbjoernsen: Self decomposability and Levy processes
- D. Shlyakhtenko: On free Araki-Woods factors
- K. Dykema: Decomposability of Voiculescu's circular operator
- P. Sniady: Invariant subspaces of R-diagonal operators
- V. Paulsen: Variations on injectivity
- P.W. Ng: Completely contractive projections on non-commutative L^1 spaces
- E. Ricard: H1 has no completely unconditional basis
- C. Le Merdy*: Operator space properties of decomposable operators
- N. Ozawa*: On the lifting problem for separable C*-algebras
- V. Zarikian*: One-sided M-structure in operator spaces
- E. Effros*: New directions and problems in operator space theory
- N. Muraki*: Monotonic independence for noncommutative random variables
- M. Bozejko*: From lacunary sets on groups to free and boolean probability with applications to operator spaces
- F. Lehner*: Cummulants, lattice paths and orthogonal polynomials
*Due to techincal difficulties, there is no video for this lecture
The Preparation of Math Majors in the First Two Years
February 09 - 11, 2001
- Hung-Hsi Wu: Rethinking the Mathematics Major
Analysis Models and Methods: A conference on Applied Mathematics and Computational Methods in memory of Fred Howes
March 1 - 3, 2001
- Darryl Holm: Lagrangian-mean and Eulerian-mean turbulence models
- Marsha Berger: Space filling curves and parallel multigrid on Cartesian meshes with embedded geometry
- Peter Lax: Trace formulas
- Jack Dongarra: The impact of computer architecture on linear algebra algorithms
- Robert O'Malley: Viscous shocks featuring exponential or algebraic asymptotics
- David Brown: Adaptive moving overlapping grids for the solution of partial differential equations in complex geometry
- Jorge More: Evolution and revolution in optimization
- Barry Smith: Towards optimal complexity algorithms for optimal design
- Bruce Hendrickson: Combinatorial algorithms in scientific computing
- Alexandre Chorin: Optimal prediction
Geometric Aspects of Spectral Theory
March 12 - 16, 2001
- Victor Guillemin: The mapping torus of a symplectic mapping
- Yves Colin de Verdiere: Singular Bohr-Sommerfeld rules
- Charles Fefferman: Singular scenarios for 2-D and 3-D incompressible fluids
- Percy Deift: Perturbation theory for infinite dimensional integrable systems on the line
- Bent Oersted: Equivariant zeta functions and conformal geometry
- Richard Schoen: Spectral issues in geometric variational problems
- Matthew Gursky: A fully non-linear equation in conformal geometry and some applications
- Jochen Bruening: Towards a spectral theory of stratified spaces
- Steve Zelditch: The inverse spectral problem for analytic plane domains
- Jean-Michel Bismut: Equivariant de Rham torsions
- Kai Koehler: Equivariant holomorphic torsion and arithmetic geometry
- Richard Melrose: The eta invariant as a determinant
- Weiping Zhang: An index theorem for Toeplitz operators on manifolds with boundary
- Tobias Colding: Geodesic laminations on the two-sphere and index bounds
- Werner Mueller: Spectral theory for Dirac operators on manifolds with fibred cusps and applications
- Jie Qing: Finiteness of Kleinian groups in space
- Wei-Min Wang: Supersymmetry and spectral theory of random Schroedinger operators
- Christophe Soule: Arithmetic genera
- Paolo Piazza: Higher eta invariants and metrics of positive scalar curvature
- Peter Sarnak: L-4 norms of eigenfunctions
Nonlinear Estimation and Classification
March 19 - 29, 2001
- Robert Gray: Gauss mixture vector quantization: Clustering Gauss mixtures with the minimum discrimination information distortion for modeling, compression, and classification
- Tom Dietterich: Some experiments with ensemble methods for classification and conditional density estimation
- Edward I. George: Dilution priors for model uncertainty
- Maria DeIorio, Peter Mueller, Gary Rosner & Steven MacEachern: An ANOVA model for dependent random measures with an application to population models
- Ernest Fokoue: Aspects of stochastic simulation based inference for some mixtures of latent structures
- Yuhong Yang: Combining regression estimators under a fixed design
- David Scott: Clustering by partial mixture estimation
- Angelika van der Linde: Model complexity and model priors
- Grace Wahba: Optimal properties and adaptive tuning of support vector machines (SVM's)
- Robert Burbidge: Adaptive kernels for SV classification
- Mario A. T. Figueiredo: Unsupervised sparse regression
- Steve Ellis: Instability in nonlinear estimation and classification
- Charles Stone: Extended linear modeling with splines
- Linda Zhao: Bayesian approaches in nonparametric estimation problems
- Charles Kooperberg & Charles Stone: Logspline density estimation with free-knot splines
- Jennifer Pittman: Adaptive splines and genetic algorithms with an application to classification
- Heping Zhang: Mixed-effects multivariate adaptive splines models: An automated procedure for fitting longitudinal data and growth curves
- Sally Wood: Bayesian mixture splines for spatially adaptive nonparametric regression
- Michael Jordan: Variational inference for clustering and classification
- Bill Cleveland: Modeling internet traffic
- John Rice: A simple model for a complex system: Predicting travel times on freeways
- Andrew Nobel: Denoising deterministic time series
- Barbara Bailey: A statistical approach to quantifying the predictability of noisy nonlinear systems
- Claudia Tebaldi: Looking for nonlinearities in the large scale dynamics of the atmosphere
- Nando DeFreitas: Non-stationary, nonlinear classification and model selection
- Ashis Gangopadhyay & Kin Cheung: Semiparametric estimation of the long-memory parameter in farima models
- Terry Speed: Nonlinear estimation and classification: Challenges from genomics
- Gilles Blanchard: Bounding generalization error of aggregate classifiers through empirical margin distributions
- Servane Gey & Elodie Nedelec: Model selection for CART regression trees
- Adam Krzyzak: Nonlinear function learning and classification using optimal radial basis function networks
- Ludger Ruschendorf: On adaptive estimation by neural nets type estimators
- Alexandre Tsybakov: Fast rates and adaptation in nonparametric classification
- Richard Baraniuk: Besov vs. Plato: Multiscale image modeling
- Martin Vetterli: Wavelets, Approximation Compression and Sampling: Review and New Results
- Ronald DeVore: Harmonic Analysis of BV
- Minh Do and Martin Vetterli: Texture characterization and retrieval using steerable hidden Markov models
- Maarten Jansen: Thresholding second generation wavelet coefficients for noisy, non-equispaced data
- Eric Kolaczyk and Robert Nowak: A multiresolution analysis for statistical likelihoods: Theory and methods
- Donald Geman: Coarse-to-fine classification and visual indexing
- Tomaso Poggio: From bits to information: Theory and applications of learning machines
- David Denison: Bayesian prediction using adaptive ridge estimators
- Jorg Rahnenfuhrer: Data compression and statistical inference
- Juan Lin: Local curved gaussian models
- Amy Braverman: Compressing and analyzing massive geophysical data sets by Monte Carlo extended ECVQ
- Rahul Shukla, Minh Do and Martin Vetterli: Best adaptive tiling in a rate-distortion sense
- Enrico Capobianco: Multi-resolution properties of semi-parametric volatility models
- Harri Kiiveri: Environmental monitoring using a time series of satellite images and other spatial data sets
- Adrian Raftery: Bayesian multidimensional scaling and choice of dimension
- Katherine Pollard and Mark van der Laan: Computationally intensive statistical methods for microarray based drug discovery
- Alexander Loguinov, Rus Yukhananov, Christopher Vulpe and Saira Mian: Using robust and resistant regression analysis (MM-estimator) to find differentially expressed genes in microarray data
- Ingo Ruczinski, Charles Kooperberg and Michael L. LeBlanc: Logic Regression
- Jerome Friedman: Predictive data mining with multiple additive regression trees
- Rob Schapire: Logistic regression, AdaBoost and Bregman distances
- Margaret H. Wright: Where does mainstream optimization fit?
- Steve Marron: High dimension - low sample size data analysis
- Vin de Silva: A global geometric framework for nonlinear dimensionality reduction
- Jacqueline J. Meulman: Multivariate optimal scaling techniques for the analysis of large and complicated data sets
- Nelson Butuk: Construction of low dimensional DME reaction state space trajectories
Conference on Randomized Algorithms in Finance
March 30 - April 1, 2001
- Phelim Boyle: Applications of the Monte Carlo Method in Finance
- Claudia Kluppelberg: Extreme Value Statistics in Finance
- Francis Longstaff: Solving American option and portfolio choice problems using the Least Squares Monte Carlo (LSM) Algorithm
- Alistair Sinclair: Markov Chain Monte Carlo Methods
- Marco Avellaneda: Arbitrage pricing of equity basket options
- Pedro Santa Clara: Simulated likelihood estimation of diffusions with an application to exchange rate dynamics in incomplete markets
- Jin-Chuan Duan: Risk premium and pricing of derivatives in complete markets
- Michael Dempster: Wavelet-based PDE and fast Monte Carlo valuation of complex derivatives
- Jeremy Staum: Early stopping in financial simulations
- Eckhard Platen: Numerical solution of stochastic differential equations with applications in finance
Quantization and Non-commutative Geometry
April 23 - 27, 2001
- Guennadi Kasparov: Automorphic forms and K-theory
- Abhay Ashtekar: Quantization, Geometry and Black Holes
- Mariusz. Wodzicki: Vestigia vestiganda
- Jose M. Gracia-Bondia: Anomalies, the Noncommutative Index Theorem and the S-matrix
- Jerry Kaminker: Boundaries and approximation properties for group C*-algebras
- Jonathan Rosenberg: Z/k index theory via noncommutative geometry
- Klaas Landsman: Quantization as a functor
- Guaoliang Yu: The Baum-Connes conjecture for hyperbolic groups
- Birant Ramazan: Groupoids and C*-algebraic quantization
- Martin Schlichenmaier: Asymptotic expansion of the Berezin transform
- Dirk Kreimer: Residues of quantum field theory
- Alan Weinstein: Dirac structures and their quantization
- Alain Connes: Noncommutative geometry and quantum field theory
- Mikhail Shubin: Semiclassical asymptotics and quantum Hall conductivity
- Harald Upmeier: Toeplitz and Weyl quantization of symmetric domains
- Henrique Bursztyn: Semiclassical geometry of quantum line bundles and Morita equivalence of star products
- Vincent Lafforgue: Banach KK-theory and the Baum-Connes conjecture
- Boris Tsygan: Index theorem for general deformations and applications
- George Skandalis: Groupoids: examples and remarks
- Albert Schwarz: Noncommutative instantons: a new approach
- Frederic Cadet: Deformation and quantization for toric manifolds
- Pierre Julg: The Baum-Connes conjecture with coefficients for Sp(n,1)
- Alfons Van Daele: Locally compact quantum groups
- Teodor Banica: Compact quantum groups and subfactors
- Joseph C. Varilly: Quantum Symmetry of Noncommutative Spheres
- Ryszard Nest: Connes-Kasparov conjecture is true
- Judy Packer: Wavelet filter functions and K-theory
- Paul Baum: Equivariant-bivariant Chern Character
29th Canadian Symposium on Operator Algebras
April 29 - May 1, 2001
- Alain Connes: Factors and Geometry
- Dietmar Bisch: Subfactors and planar algebras
- Guihua Gong: A Reduction Theorem on a class of AH-algbras including simple AH algebras and real rank zero AH algebras
- Marius Dadarlat: Approximation by subalgebras and the UCT
- Mikael Rordam: A simple C*-algebra containing a finite and an infinite projection
- Mahmood Khoshkam : Groupoids, Inverse Semigroups, and their C*-algebras
- Dan Voiculescu: Cyclic derivatives and von Neumann algebras
- Joachim Cuntz: Non-commutative simplicial complexes and characteristic classes
- Liming Ge: Riemann zeta function and Connes's noncommutative geometry
- Kenneth Davidson: Free semigroup algebras
- Eberhard Kirchberg: Classification of non-simple purely infinite algebras
- Roland Speicher: Invariant subspaces of R-diagonal operators
- Dimitri Shlyakhtenko: Free Araki-Woods factors
- N. Christopher Phillips: Isomorphism theorems for C*-algebras of minimal diffeomorphisms
Critical Percolation and Conformally Invariant Processes
April 30 - May 4, 2001
- John Cardy: Mean number of crossing clusters and related results
- Stanislav Smirnov: Conformal invariance of critical percolation
- Gilles Schaeffer: Random triangulations and planar maps
- Itai Benjamini: Random metrics
- Stanislav Smirnov: Tutorial: Conformal invariance of critical percolation
- Richard Kenyon: Random maps from Z^2 to Z/qZ
- Sergey Fomin: Loop-erased walks and total positivity
- Russell Lyons: A Bird's-Eye View of Uniform Spanning Trees and Forests
- Oded Schramm: Conformally invariant scaling limits and SLE
- Yuval Peres: Geometry of the uniform spanning forest
- Bertrand Duplantier: Conformally invariant scaling curves and quantum gravity
- Gregory Lawler: SLE and the self-avoiding walk
- Charles Newman: Critical Percolation for 2D Coarsening
- Schramm, Lawler, Werner: Tutorial: SLE
- Bernard Nienhuis: On the groundstate of the percolation transfer matrix
- David Wilson: Winding Angle Variance of Random Curves
- Jennifer Chayes: Finite-Size Scaling in Probability and Computer Science: Part I
- Christian Borgs: Finite-Size Scaling in Probability and Computer Science: Part II
- Vincent Beffara: On some conformally invariant subsets of the Brownian curve
- Yu Zhang: Power laws and conformal invariance on the two dimensional triangular lattice
- Michael Aizenman: What next?
Geometric Scattering Theory and Elliptic Theory on Noncompact and Singular Spaces
May 7 - 11, 2001
* Due to technical difficulties, the first half of this lecture has no audio
- Jared Wunsch*: Propagation and diffraction at conic singularities
- Boris Vaillant: An index theorem for manifolds with generalized fibred cusps
- Mike Anderson: Einstein metrics with prescribed conformal infinity on 4-manifolds
- C. Robin Graham: Conformal geometry, Einstein metrics and scattering
- Mikhail Shubin: Discreteness of spectrum and strict positivity for magnetic Schrodinger operators
- Raphael Ponge: Local index formulae for pseudo-Hermitian manifolds through non-commutative geometry
- Daniel Grieser: Some remarks on the Stokes Theorem and Hodge Theory on singular varieties
- Peter Perry: Determinants of Laplacians and compactness of isopolar sets for Riemann surfaces of infinite area
Continuum Hypothesis
May 29 - June 1, 2001
- Tomek Bartoszynski: Continuous Images of Strongly Meager Sets
- Slawomir Solecki: Complexity of Subgroups of Polish Groups
- Greg Hjorth: The Topological Vaught Conjecture and Related Problems
- Paul Larson: Revisiting Godel's Argument for the True Power of the Continuum
- Martin Zeman: The Principle and Mahlo Cardinals
- Jindrich Zapletal: Definable Real Forcings
- Matt Foreman: A New Lowenheim-Skolem Theorem
- Tom Jech: Infinite Games and Forcing
- Ilijas Farah: Maximal Rigidity
- Moti Gitik: The Current State of the Singular Cardinals Problem
- Stevo Todorcevic: Localized Reflection and the Size of the Continuum
Clay Mathematics Institute 2001 Summer School on the Global Theory of Minimal Surfaces: Summer Graduate Program and Research Component
June 25 - July 6, 2001
Lecture Series:
- Frank Morgan: Geometric Measure Theory and the Proof of the Double Bubble Conjecture, Lecture 1
- Frank Morgan: Geometric Measure Theory and the Proof of the Double Bubble Conjecture, Lecture 2
- Frank Morgan: Geometric Measure Theory and the Proof of the Double Bubble Conjecture, Lecture 3
- Frank Morgan: Geometric Measure Theory and the Proof of the Double Bubble Conjecture, Lecture 4
- Frank Morgan: Geometric Measure Theory and the Proof of the Double Bubble Conjecture, Lecture 5
- Frank Morgan: Geometric Measure Theory and the Proof of the Double Bubble Conjecture, Lecture 6
- Frank Morgan: Geometric Measure Theory and the Proof of the Double Bubble Conjecture, Lecture 7
- Frank Morgan: Geometric Measure Theory and the Proof of the Double Bubble Conjecture, Lecture 8
- Frank Morgan: Geometric Measure Theory and the Proof of the Double Bubble Conjecture, Lecture 9
- Matthias Weber: Computational Aspects of Minimal Surface Theory, Lecture 1
- Matthias Weber: Computational Aspects of Minimal Surface Theory, Lecture 2
- Matthias Weber: Computational Aspects of Minimal Surface Theory, Lecture 3
- Matthias Weber: Computational Aspects of Minimal Surface Theory, Lecture 4
- Matthias Weber: Computational Aspects of Minimal Surface Theory, Lecture 5
- Konrad Polthier: Lecture 1
- Konrad Polthier: Lecture 2
- Konrad Polthier: Lecture 3
- Rick Schoen: Mean Curvature in Riemannian Geometry and General Relativity, Lecture 1
- Rick Schoen: Mean Curvature in Riemannian Geometry and General Relativity, Lecture 2
- Rick Schoen: Mean Curvature in Riemannian Geometry and General Relativity, Lecture 3
- Brian White: Minimal Surfaces and Total Curvature of Curves
- Brian White: The Classical Plateau Problem
- Brian White: Flat Chains Over General Coefficient Groups
Background Lectures:
- Bill Meeks: Geometric Results in Classical Minimal Surface Theory, Lecture 1
- Bill Meeks: Geometric Results in Classical Minimal Surface Theory, Lecture 2
- Bill Meeks: A Survey of Unsolved Problems in Minimal Surface Theory and Approaches for Solving Them
- John McCuan: Background Lecture 1
- John McCuan: Background lecture 2
- John McCuan: Background Lecture 3
- David Hoffman: Background Lecture
Individual Talks
- Mohammad Ghomi: Topology of Minimal Surfaces with Convex Boundary
- Nicolaos Kapouleas: Singular Perturbation Constructions for Minimal Surfaces
- Hermann Karcher: Conjugate Plateau Surfaces
- Francisco Martin: Complete Nonorientable Minimal Surfaces in R^3
- Robert Osserman: A Historical Survey of some Aspects of Minimal Surfaces
- Joaquin Perez: Parabolicity and Minimal Surfaces
- Harold Rosenberg: Periodic Minimal Surfaces
CMI Summer School Research Component
July 9 - July 27, 2001
Third Week Lecture Series
- Antonio Ros: The Isoperimetric Problem - Lecture 1
- Antonio Ros: The Isoperimetric Problem - Lecture 2
- Antonio Ros: The Isoperimetric Problem - Lecture 3
- Antonio Ros: The Isoperimetric Problem - Lecture 4
- Manolo Ritore: The Isoperimetric Problem - Lecture 5
- Mike Wolf: Flat Structures
- Mike Wolf: Moduli Spaces of Flat Structures and Period Problems
- Mike Wolf: Handle Addition for Minimal Surfaces
- Matthias Weber: Embedded Minimal Surfaces of Finite Topology, Lecture 1
- Matthias Weber: Embedded Minimal Surfaces of Finite Topology, Lecture 2
- Joel Spruck: Geometric Aspects of the Theory of Fully Nonlinear Elliptic Equations - Lecture 1
- Joel Spruck: Geometric Aspects of the Theory of Fully Nonlinear Elliptic Equations - Lecture 2
- Joel Spruck: Geometric Aspects of the Theory of Fully Nonlinear Elliptic Equations - Lecture 3
- Joel Spruck: Geometric Aspects of the Theory of Fully Nonlinear Elliptic Equations - Lecture 4
- Bo Guan: Geometric Aspects of the Theory of Fully Nonlinear Elliptic Equations - Lecture 5
Third Week Seminar Lectures
- Jaigyoung Choe: Isoperimetric Inequalities of Minimal Surfaces
- Pascal Collin: Conformal Type of Proper Minimal Surfaces in Euclidean Space
- Mohammad Ghomi Convexity Problems in Classical Differential Geometry and Topology
- David Hoffman: A Family of Singly Periodic Minimal Surfaces Asymptotic to the Helicoid
- Hermann Karcher: The Flexibility of Conjugate Plateau Constructions
- Francisco J. Lopez: Some Picard Theorems for Minimal Surfaces
- Rafe Mazzeo: Surgery on Geometric Structures and Applications
- Joaquin Perez: Uniqueness of the Riemann Minimal Surfaces
- K. Tenenblat: Minimal and CMC Surfaces Obtained by Ribaucour Transofrmations
- Henry Wente: The Plateau and Douglas Problems for Surfaces of Constant Mean Curvature
- Fang Yi: Protein Folding Problem, A Geometric Method
Fourth Week Lecture Series
- Harold Rosenberg: Properly Embedded Minimal Surfaces in R^3 of Finite Topology, I
- Harold Rosenberg: Properly Embedded Minimal Surfaces in R^3 of Finite Topology, II
- Harold Rosenberg: Properly Embedded Minimal Surfaces in R^3 of Finite Topology, III
- Bill Meeks: Properly Embedded Minimal Surfaces in R^3 of Finite Topology, IV
- Bill Meeks: Properly Embedded Minimal Surfaces in R^3 of Finite Topology, V
- Martin Traizet: Construction of Minimal Surfaces by Gluing Weierstrass Representations, I
- Martin Traizet: Construction of Minimal Surfaces by Gluing Weierstrass Representations, II
- Martin Traizet: Construction of minimal Surfaces by Gluing Weierstrass Representations, III
- Nicolaos Kapouleas: Constructions of Minimal Surfaces by Gluing Minimal Immersion, I
- Nicolaos Kapouleas: Constructions of Minimal Surfaces by Gluing Minimal Immersion, II
- Bill Minicozzi: Embedded Minimal Surfaces in a Ball, I
- Bill Minicozzi: Embedded Minimal Surfaces in a Ball, II
- Bill Minicozzi: Embedded Minimal Surfaces in a Ball, III
- Bill Minicozzi: Embedded Minimal Surfaces in a Ball, IV
- Bill Minicozzi: Embedded Minimal Surfaces in a Ball, V
Fourth Week Seminar Lectures
- Pascal Collin: Construction of Bryant Surfaces by Cousin Correspondence
- Tom Ilmanen: Embedded Minimal Hypersurfaces with L^2 Curvature Bounds
- Rob Kusner: Soap Bubbles and Riemann Surfaces
- Frank Pacard: CMC-1 Surfaces in Hyperbolic Space
- Ricardo Sa Earp: Meromorphic Data for Mean Curvature One Surfaces in Hyperbolic Space
- Joel Spruck: Two-dimensional Minimal Graphs over Unbounded Domains
- Masaaki Umehara: Surfaces of Constant Mean Curvature-1 in the Hyperbolic 3-space
Fifth Week Lecture Series
- Rick Schoen: Variational Problems in Lagrangian Geometry: Special Lagrangian Submanifolds, Part I
- Rick Schoen: Variational Problems in Lagrangian Geometry: Special Lagrangian Submanifolds, Part II
- Jon Wolfson: Variational Problems in Lagrangian Geometry: Special Lagrangian Submanifolds, Part III
- Dominic Joyce: Constructions of Special Lagrangian m-folds in $\C^m$
- Dominic Joyce: Special Lagrangian Fibrations and the SYZ Conjecture
- Joel Hass: Topology of Minimal Surfaces in 3-manifolds, Part I
- Joel Hass: Topology of Minimal Surfaces in 3-manifolds, Part II
- Joachim Hyam Rubinstein: Topology of Minimal Surfaces in 3-manifolds, Part I
- Joachim Hyam Rubinstein: Topology of Minimal Surfaces in 3-manifolds, Part II
- Joachim Hyam Rubinstein: Topology of Minimal Surfaces in 3-manifolds, Part III
- Pascal Collin:Asymptotic geometry of embedded Bryant surfaces, Part I
- Pascal Collin:Asymptotic geometry of embedded Bryant surfaces, Part II
- Pascal Collin:Asymptotic geometry of embedded Bryant surfaces, Part III
- Karsten Grosse-Brauckmann: The Conjugate Cousin Construction for Constant-Mean-Curvature Surfaces in Three Space
- Karsten Grosse-Brauckmann: Existence of Constant Mean Curvature Surfaces with Finite Topology and Genus Zero
- Joachim Hyam Rubinstein: The Steiner Problem in 3-dimensions and Applications, Part I
- Joachim Hyam Rubinstein: The Steiner Problem in 3-dimensions and Applications, Part II
Fifth Week Seminar Lectures
- Valerio Batista: Construction of New Embedded Triply Periodic Minimal Surfaces in R^3
- Alexander Bobenko: Adding handles to the helicoid
- Joel Hass: Computational Complexity and the Area of Unknotting Disks
- R. Langevin: Short Talk
- John McCuan: Some Observations Concerning Scherk-type Minimal Graphs
- Bill Meeks: Topological Properties of Minimal Surfaces
- Chikako Mese: Minimal Surfaces and Harmonic Mappings in Singular Geometry
- Franz Pedit: Quaternionic Plucker Formula and Area Estimates of CMC Tori
- Peter Topping: Approaching the Willmore Conjecture via Integral Geometry
Introductory Workshop in Inverse Problems and Integral Geometry
August 13 - 24, 2001
- Gunther Uhlmann: Microlocal Analysis and Inverse Problems - Part I
- Giovanni Alessandrini: Cracks and Other Inverse Problems with Unknown Boundaries: Geometric Critical Points
- Giovanni Alessandrini: Cracks and Other Inverse Problems with Unknown Boundaries: Some Uniqueness Results and Open Problems
- Carlos A. Berenstein: Localization of the 2-D Radon Transform
- Liliana Borcea: Electrical Impedance Tomography - Part I
- Liliana Borcea: Electrical Impedance Tomography - Part II
- Liliana Borcea: Electrical Impedance Tomography - Part III
- Liliana Borcea: Electrical Impedance Tomography - Part IV
Non-Workshop Lectures
- Sir Michael Atiyah: Configurations of points in 3-dimensional Euclidean space
- Charles Fefferman: Poincare metrics for conformal structure - Part I
- Charles Fefferman: Poincare metrics for conformal structure - Part II
- David Eisenbud: Chow Forms and Resultants - old and new
Lectures from Other Organizations: 2002 - 2003
Lectures from Other Organizations: 2000 - 2001
Lectures from Other Organizations: 1998 - 1999
Lectures from Other Organizations: 1996 - 97
Lectures for the General Public