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Research Project "Mathematics in Science, Social Sciences and Engineering" Reference person: Prof. Mirko Degli Esposti (email: [email protected]) The Department of Mathematics of the University of Bologna invites applications for a PostDoc position in "Mathematics in Science, Social Sciences and Engineering". The appointment is for one year, renewable to a second year. Candidates are expected to propose and perform research on innovative aspects in mathematics, along one of the following themes: Analysis: 1. Functional analysis and abstract equations: Functional analytic methods for PDE problems; degenerate or singular evolution problems in Banach spaces; multivalued operators in Banach spaces; function spaces related to operator theory.FK percolation and its applications 2. Applied PDEs: FK percolation and its applications, mathematical modeling of financial markets by PDE or stochastic methods; mathematical modeling of the visual cortex in Lie groups through geometric analysis tools. 3. Evolutions equations: evolutions equations with real characteristics, asymptotic behavior of hyperbolic systems. 4. Qualitative theory of PDEs and calculus of variations: Sub-Riemannian PDEs; a priori estimates and solvability of systems of linear PDEs; geometric fully nonlinear PDEs; potential analysis of second order PDEs; hypoellipticity for sums of squares; geometric measure theory in Carnot groups. Numerical Analysis: 1. Numerical Linear Algebra: matrix equations, matrix functions, large-scale eigenvalue problems, spectral perturbation analysis, preconditioning techniques, ill- conditioned linear systems, optimization problems. 2. Inverse Problems and Image Processing: regularization and optimization methods for ill-posed integral equation problems, image segmentation, deblurring, denoising and reconstruction from projection; analysis of noise models, medical applications. 3. Geometric Modelling and Computer Graphics: Curves and surface modelling, shape basic functions, interpolation methods, parallel graphics processing, realistic rendering. 4. Matrix and Tensor Analysis and application to PDEs and Statistics. Algebra/Geometry: 1. Secant varieties of projective varieties and tensor rank 2. Combinatorics of permutations. Algebraic and geometric aspects. 3. Numerical invariants of ideals in local rings and applications in singularity theory. 4. Superalgebras and representation theory. Geometric and combinatorial aspects. 5. Geometric and topological invariants for shape analysis, comparison and retrieval. Mathematical Physics: 1. Dynamics of extended systems and infinite ergodic theory 2. Dynamical systems and deterministic transport: anomalous transport in complex systems and microscopic origins of transport phenomena Other topics may also be considered. The successful candidate is expected to productively interact with members of the Department. In the submitted project, the candidate must indicate the name of the faculty member designated to be the fellow official host. All information about finacial details, submission, deadlines, requested documents, etc. will be soon posted in an official document at: http://www.matematica.unibo.it/bandi.

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Special Western Canada Linear Algebra Meeting (17W2668)
Special Western Canada Linear Algebra Meeting (17w2668) Hadi Kharaghani (University of Lethbridge), Shaun Fallat (University of Regina), Pauline van den Driessche (University of Victoria) July 7, 2017 – July 9, 2017 1 History of this Conference Series The Western Canada Linear Algebra meeting, or WCLAM, is a regular series of meetings held roughly once every 2 years since 1993. Professor Peter Lancaster from the University of Calgary initiated the conference series and has been involved as a mentor, an organizer, a speaker and participant in all of the ten or more WCLAM meetings. Two broad goals of the WCLAM series are a) to keep the community abreast of current research in this discipline, and b) to bring together well-established and early-career researchers to talk about their work in a relaxed academic setting. This particular conference brought together researchers working in a wide-range of mathematical ﬁelds including matrix analysis, combinatorial matrix theory, applied and numerical linear algebra, combinatorics, operator theory and operator algebras. It attracted participants from most of the PIMS Universities, as well as Ontario, Quebec, Indiana, Iowa, Minnesota, North Dakota, Virginia, Iran, Japan, the Netherlands and Spain. The highlight of this meeting was the recognition of the outstanding and numerous contributions to the areas of research of Professor Peter Lancaster. Peter’s work in mathematics is legendary and in addition his footprint on mathematics in Canada is very signiﬁcant. 2 Presentation Highlights The conference began with a presentation from Prof. Chi-Kwong Li surveying the numerical range and connections to dilation. During this lecture the following conjecture was stated: If A 2 M3 has no reducing eigenvalues, then there is a T 2 B(H) such that the numerical range of T is contained in that of A, and T has no dilation of the form I ⊗ A.
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