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Abstracts of Talks Joint Meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society

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Abstracts of Talks Joint Meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society Abstracts of talks Joint meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society Wrocław, 17-20 September 2018 MAIN ORGANIZERS CO-ORGANIZERS SPONSORS Contents I Conference Information Conference Schedule.................................................... 13 II Plenary Lectures Plenary Speakers......................................................... 17 Guest Plenary Speaker.................................................... 22 III Sessions 1 Model Theory......................................................... 25 2 Number Theory........................................................ 31 3 Projective Varieties and their Arrangements............................... 37 4 Algebraic Geometry................................................... 43 5 Algebraic Geometry and Interdisciplinary Applications..................... 47 6 Arithmetic Algebraic Geometry......................................... 53 7 Group Theory......................................................... 59 8 Geometric Function and Mapping Theory................................ 71 9 Complex Analysis and Geometry........................................ 77 10 Optimization, Microstructures, and Applications to Mechanics.............. 81 11 Variational and Set-valued Methods in Differential Problems................ 89 12 Topological Methods and Boundary Value Problems...................... 95 13 Variational Problems and Nonlinear PDEs............................... 103 14 Nonlinear Variational Methods with Applications......................... 109 15 Advances in Kinetic Theory............................................ 115 16 Mathematical Modelling for Complex Systems: Seeking New Frontiers...... 125 17 Advances in Nonlinear Elliptic and Parabolic PDEs: from local to nonlocal problems ....................................................................... 133 18 Nonlinear Partial Differential Equations and Related Function Spaces....... 143 19 Nonlinear Diffusion Problems.......................................... 151 20 Geometric Properties of Solutions of PDEs and Nonlocal Equations......... 155 21 New Perspectives in Singular Hamiltonian Systems........................ 163 22 Ergodic Theory and Topological Dynamics.............................. 167 23 Hutchinson-Barnsley Theory of Fractals.................................. 173 24 Harmonic Analysis................................................... 179 25 Nonlinear Operators, Approximation Algorithms for Operator Equations and Related Problems.............................................................. 187 26 Noncommutative Harmonic Analysis, Noncommutative Probability and Quantum Groups................................................................ 193 27 Topology and Logic in Algebra and Functional Analysis................... 199 28 Operator Theory, Operator Algebras and Applications.................... 203 29 Operator Semigroups: New Challenges and Applications................. 211 30 Set Theory and Topology............................................. 217 31 Computational Aspects of Applied Topology............................ 223 32 Geometric Aspects of Applied Topology................................ 229 33 Geometric Topology, Manifolds, and Group Actions...................... 235 34 Stochastic Analysis and Nonlocal PDEs................................. 245 35 Financial Mathematics............................................... 253 36 Differential Inclusions and Controlled Systems............................ 261 37 Stochastic Models of Molecular Anomalous Diffusion and Fractional Dynamics 267 38 Probability Measures – Structures, Identification and Characterizations...... 273 7 39 Dependence Modelling and Copulas.................................. 279 40 Challenges and Methods of Modern Statistics........................... 287 41 Recent Advances in Numerical Modeling for Differential Problems.......... 297 42 Computational Mathematics: Discrepancy and Complexity............... 301 43 Quantitative Techniques for Complex Real-Life Applications............... 311 44 Multiscale Models in Mathematical Biology............................. 315 IV Poster Session Conference Information 11 THE PROGRAM COMMITTEE Marco Andreatta University of Trento, Italy Alessandra Celletti University of Rome Tor Vergata, Italy Vittorio Coti-Zelati University of Naples Federico II, Italy Giorgio Fotia Center for Advanced Studies, Research and Development in Sardinia, Italy Grzegorz Karch University of Wrocław, Poland Wojciech Kryszewski Nicolaus Copernicus University in Torun,´ Poland Jacek Mi ˛ekisz IMPAN & University of Warsaw, Poland Giovanni Russo University of Catania, Italy Michał Ryznar Wroclaw University of Science and Technology, Poland Jarosław A. Wisniewski´ University of Warsaw, Poland THE HONORARY COMMITTEE Adam Jezierski Rector of University of Wrocław, Poland Cezary Madryas Rector of Wrocław University of Science and Technology, Poland Ciro Cilberto President of the Italian Mathematical Union, Italy Luca Formaggia President of the Italian Society of Industrial and Applied Mathematics, Italy Wacław Marzantowicz President of the Polish Mathematical Society, Poland Tomasz Jurdzinski´ Dean of Faculty of of Mathematics and Computer Sciences University of Wrocław, Poland Krzysztof Stempak Dean of Faculty of Pure and Applied Mathematics Wrocław University of Science and Technology, Poland Piotr Biler Vice-Dean of Faculty of Mathematics and Computer Sciences University of Wrocław, Polsnd Krzysztof Bogdan Vice-Dean of Faculty of Pure and Applied Mathematics Wrocław University of Science and Technology, Poland Adam Nowak Branch Manager of Wrocław Branch of Institute of Mathematics Polish Academy of Science, Poland 12 THE HONORARY PATRONAGES Jarosław Gowin Deputy Prime Minister of the Republic of Poland Minister of Science and Higher Education Italian Embassy in Warsaw Lower Silesia Voivodeship Marshal Voivode of Lower Silesia Mayor of Wroclaw ORGANIZING INSTITUTIONS Unione Matematica Italiana Società Italiana di Matematica Applicate e Industriale Polish Mathematical Society University of Wrocław Wrocław University of Science and Technology CO-ORGANIZERS Wrocław Branch of Institute of Mathematics Polish Academy of Science Stefan Banach International Mathematical Center Faculty of Mathematics, Informatics, and Mechanics of University of Warsaw THE ORGANIZING COMMITTEE Tomasz Grzywny Wrocław University of Science and Technology Maciej Paluszynski´ University of Wrocław Michał Balcerek Wrocław University of Science and Technology Krzysztof Burnecki Wrocław University of Science and Technology Edyta Kania University of Wrocław Mariusz Olszewski Wrocław University of Science and Technology Marcin Preisner University of Wrocław Ziemowit Rzeszotnik University of Wrocław Karol Szczypkowski Wrocław University of Science and Technology Grzegorz Zurek˙ Wrocław University of Science and Technology 13 Conference Schedule MONDAY, SEPTEMBER 17 8:30 – 9:30 Registration 9:30 – 10:30 Opening ceremony 10:40 – 11:10 Coffee break 11:10 – 11:50 Maria J. Esteban Functional inequalities, flows, symmetry and spectral estimates 12:00 – 12:40 Rafał Latała Norms of random matrices with independent entries 13:00 – 14:30 Lunch 14:30 – 16:30 Sessions 16:30 – 17:00 Coffee break 17:00 – 19:00 Sessions 19:00 Boat trip TUESDAY, SEPTEMBER 18 9:00 – 9:40 Giorgio Ottaviani The distance function from a real algebraic variety, old and new 9:50 – 10:30 Marian Mrozek Combinatorial topological dynamics 10:40 – 11:10 Coffee break 11:10 – 11:50 Christopher Hacon Boundedness of varieties of general type 12:00 – 12:40 Jacek Swi´ ˛atkowski New results in the topological classification of Gromov boundaries of hyperbolic groups 13:00 – 14:30 Lunch 14:30 – 16:30 Sessions 16:30 – 17:00 Coffee break 17:00 – 19:00 Sessions 20:00 Concert 14 WEDNESDAY, SEPTEMBER 19 9:00 – 9:40 Luigi Preziosi An overview of mathematical models for cell migration 9:50 – 10:30 Anna Marciniak-Czochra Post-Turing tissue pattern formation: Insights from mathematical modelling 10:40 – 11:10 Coffee break 11:10 – 11:50 Susanna Terracini Spiralling and other solutions in limiting profiles of competition-diffusion systems 12:00 – 12:40 Marta Lewicka Models for Thin Prestrained Structures 13:00 – 14:30 Lunch 14:30 – 16:30 Sessions 16:30 – 17:00 Coffee break 17:00 – 19:00 Sessions 19:30 Banquet THURSDAY, SEPTEMBER 20 9:00 – 11:00 Sessions 11:00 – 13:00 Poster sessions 13:00 – 14:30 Lunch 14:30 – 15:10 Veronica Gavagna Francesco Maurolico, a Renaissance interpreter of Euclid 15:20 – 16:00 Michael Dumbser New mathematical models and numerical algorithms for Newtonian and general relativistic continuum physics 16:10 – 16:30 Closing ceremony 17:00 – 19:00 Coffee break Plenary Lectures 17 Plenary Speakers NEW MATHEMATICAL MODELS AND NUMERICAL ALGORITHMS FOR NEWTONIAN AND GENERAL RELATIVISTIC CONTINUUM PHYSICS Michael Dumbser Università di Trento In the first part of the talk we present high order arbitrary high order accurate (ADER) finite volume and discontinuous Galerkin finite element schemes for the numerical solution of a new unified first order symmetric hyperbolic and thermodynamically compatible (SHTC) formulation of Newtonian continuum physics, including a general description of fluid and solid mechanics as well as electromagnetic fields in one single system of governing partial differential equations (PDE). The model is based on previous work of Godunov, Peshkov and Romenski (so-called GPR model) on symmetric hyperbolic and thermodynamically
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