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THE EIGHTH CONGRESS OF ROMANIAN MATHEMATICIANS PROGRAMME and ABSTRACT BOOK ALEXANDRU IOAN CUZA UNIVERSITY OF IASI http://www.math.uaic.ro/cmr2015/ IAȘI, 2015 ORGANIZING INSTITUTIONS The Section of Mathematical Sciences of the Romanian Academy The Simion Stoilow Institute of Mathematics of the Romanian Academy The Faculty of Mathematics of "Alexandru Ioan Cuza" University of Iasi The Faculty of Mathematics and Computer Science of the University of Bucharest "Octav Mayer" Institute of Mathematics of the Romanian Academy, Iasi The Romanian Mathematical Society "Alexandru Myller" Mathematical Seminary Foundation ORGANIZING COMMITTEE Romanian Academy Viorel Barbu, Marius Iosifescu, Solomon Marcus, Ioan Tomescu, Gabriela Marinoschi - Simion Stoilow Institute of Mathematics of the Romanian Academy Lucian Beznea, Dan Timotin University of Bucharest Victor Tigoiu Faculty of Mathematics of "Alexandru Ioan Cuza" University of Iasi "Octav Mayer" Institute of Mathematics of the Roumanian Academy, Iasi Cătălin-George Lefter The Romanian Mathematical Society Radu Gologan THE CONGRESS IS ORGANIZED WITH FINANCIAL SUPPORT FROM: Dedeman Fundaţia Familiei Menachem H. Elias - the Romanian Academy Fundaţia Patrimoniu - the Romanian Academy Fundaţia Seminarului Matematic Alexandru Myller SOFTWIN Group The organizing institutions contributed with both financial and logistic support to the Congress. SECTIONS 1. ALGEBRA AND NUMBER THEORY Special session: Local rings and homological algebra. Special session dedicated to Prof. Nicolae Radu 2. ALGEBRAIC, COMPLEX AND DIFFERENTIAL GEOMETRY AND TOPOLOGY Special session: Geometry and Topology of Differentiable Manifolds and Algebraic Varieties 3. REAL AND COMPLEX ANALYSIS, POTENTIAL THEORY 4. ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS, VARIATIONAL METHODS, OPTIMAL CONTROL Special session: Optimization and Games Theory 5. FUNCTIONAL ANALYSIS, OPERATOR THEORY AND OPERATOR ALGEBRAS, MATHEMATICAL PHYSICS Special sessions: Spectral Theory and Applications in Mathematical Physics Dynamical Systems and Ergodic Theory 6. PROBABILITY, STOCHASTIC ANALYSIS, AND MATHEMATICAL STATISTICS 7. MECHANICS, NUMERICAL ANALYSIS, MATHEMATICAL MODELS IN SCIENCES Special sessions: Mathematical Modeling of Some Medical and Biological Processes Mathematical Models in Astronomy 8. THEORETICAL COMPUTER SCIENCE, OPERATIONS RESEARCH AND MATHEMATICAL PROGRAMMING Special session: Logic in Computer Science 9. HISTORY AND PHILOSOPHY OF MATHEMATICS CONTENTS Short programme Full programme Abstract 34 Index 159 FULL PROGRAMME OF THE CONGRESS FRIDAY, June 26, 2015 9:00 - CONGRESS OPENING – Aula Magna “Mihai Eminescu” SECTION 1: Algebra and Number Theory – room III.11 Chairman: Șerban Raianu 11:30 – 12:30 CAENEPEEL Stefaan Hopf Categories 12:30 – 13:00 POP Horia Heisenberg algebras and coefficient rings 13:00 – 15:00 LUNCH Chairman: Ghiocel Groza 15:00 – 15:30 DEACONESCU Marian Operator Theory for Finite Groups 15:30 – 16:00 POPESCU Sever - Angel On the v-extensions of a valued field (coautor Victor Alexandru) 16:00 – 16:30 COFFEE BREAK Chairman: Marian Deaconescu 16:30 – 17:00 BREAZ Simion Pure semisimple rings and direct products 17:00 – 17:30 PANAITE Florin Hom-structures 17:30 – 18:00 STAIC Mihai Operations on the Secondary Hochschild Cohomology Chairman: Viviana Ene 18:00 – 18:30 RAICU Claudiu The syzygies of some thickenings of determinantal varieties 18:30 – 19:00 ICHIM Bogdan How to compute the Stanley depth of a module 19:00 – 19:30 URSU Vasile Commutators theory in language congruences for modular algebraic system SECTION 2 - Algebraic, Complex and Differential Geometry and Topology – room Myller Chairman: Vasile Brînzănescu 11:30 – 12:30 MOSCOVICI Henri Modular geometry on noncommutative tori 12:30 – 13:00 ANASTASIEI Mihai Some foliations on the cotangent bundle 13:00 – 15:00 LUNCH Chairman: Marian Aprodu 15:00 – 16:00 BURGHELEA Dan Refinements of homology provided by a real or angle valued map 16:00 – 16:30 COFFEE BREAK 16:30 – 17:30 RASDEACONU Rares Counting real rational curves on K3 surfaces 17:30 – 18:00 DAMIAN Florin Hyperbolic manifolds and their representations by lens polytopes 18:00 – 18:30 BEJAN Cornelia - Livia Parallel second order tensors on Vaisman manifolds SECTION 3 - Real and Complex Analysis, Potential Theory – room II.7 Chairman: Grigore Ștefan Salagean 11:30 – 12:00 BAYINDIR Hilal Z Approximation by generalized deferred Cesàro means in the space H p 12:00 – 12:30 BERISHA Faton On some I p -type inequalities involving quasi monotone and quasi lacunary sequences 12:30 – 13:00 KOHR Gabriela The generalized Loewner differential equation in higher dimensions. Applications to extremal problems for biholomorphic mappings 13:00 – 15:00 LUNCH Chairman: Victor Lie 15:00 – 16:00 BRACCI Filippo Univalent mappings, Horosphere boundary and prime end theory in higher dimension 16:00 – 16:30 COFFEE BREAK Chairman: Gabriela Kohr 16:30 – 17:00 IANCU Mihai Compactness and density of certain reachable families of the Loewner ODE in Cn 17:00 – 17:30 IONITA George - Ionut q-completeness and q-completeness with corners of unbranched Riemann domains 17:30 – 18:00 SALAGEAN Grigore Some characteristic properties of analytic functions Stefan 18:00 – 18:30 BUCUR Gheorghe Generalized Arzela-Ascoli theorem and applications 18:30 – 19:00 BUCUR Ileana Fixed point theory and contractive sequences SECTION 4 - Ordinary and Partial Differential Equations, Variational Methods, Optimal Control – room I.1 Chairman: Petru Jebelean 11:30 – 12:30 MAWHIN Jean Periodic solutions of relativistic-type systems with periodic nonlinearities 12:30 – 13:00 IGNAT Radu Kinetic formulation for vortex vector fields 13:00 – 15:00 LUNCH Room II.4 Chairman: Radu Ignat 15:00 – 15:30 GAUDIELLO Antonio Homogenization of highly oscillating boundaries with strongly contrasting diffusivity 15:30 – 16:00 BEREANU Cristian Prescribed mean curvature of manifolds in Minkowski space 16:00 – 16:30 COFFEE BREAK Chairman: Antonio Gaudiello 16:30 – 17:00 KRISTALY Alexandru Gagliardo-Nirenberg inequalities on manifolds: the influence of the curvature 17:00 – 17:30 VARGA Csaba Symmetry and multiple solutions for certain quasilinear elliptic equations Chairman: Cristian Bereanu 17:30 – 18:00 MIHAILESCU Mihai On the asymptotic behavior of some classes of nonlinear eigenvalue problems involving the $p$-Laplacian 18:00 – 18:20 SERBAN Calin- Existence results for discontinuous perturbations of singular ㊾- Constantin Laplacian operator 18:20 – 18:40 FARCASEANU Maria On the spectrum of some eigenvalue problems 18:40 – 19:00 MARICA Aurora Numerical meshes ensuring uniform observability of 1d waves SECTION 5 - Functional Analysis, Operator Theory and Operator Algebras, Mathematical Physics – room II.5 Joint Section 2 – room Myller 11:30 – 12:30 MOSCOVICI Henri Modular geometry on noncommutative tori Chairman: Marius Dadarlat 12:30 – 13:30 VASILESCU Florian - Square Positive Functionals in an Abstract Setting Horia 13:30 – 15:00 LUNCH Special session: Spectral Theory and Applications in Mathematical Physics Chairman: Stefan Teufel 15:00 – 16:00 PILLET Claude - Alain Conductance and AC Spectrum 16:00 – 16:30 COFFEE BREAK Chairman: Pavel Exner 16:30 – 17:30 TEUFEL Stefan Peierls substitution for subbands of the Hofstadter model 17:30 – 18:30 CORNEAN Horia On the construction of composite Wannier functions Chairman: Gheorghe Nenciu 18:30 – 19:00 RASMUSSEN Morten Analytic Perturbation Theory of Embedded Eigenvalues Grud 19:00 – 19:30 SAVOIE Baptiste A rigorous proof of the Bohr-van Leeuwen theorem in the semiclassical limit SECTION 6 - Probability, Stochastic Analysis, and Mathematical Statistics – room III.9 Chairman: Mădălina Deaconu 11:30 – 12:30 PIRVU Traian Cumulative Prospect Theory with Skewed Return Distribution 13:00 – 15:00 LUNCH Chairman: Lucian Beznea 15:00 – 16:00 DEACONU Madalina Brownian and Bessel hitting times: new trends in their approximation 16:00 – 16:30 COFFEE BREAK 16:30 – 17:30 BALLY Vlad Asymptotic behavior for PDMP's with three regime 17:30 – 18:00 MATICIUC Lucian Viscosity solutions for functional parabolic PDEs. A stochastic approach via BSDEs with time-delayed 18:00 – 18:30 ROTENSTEIN Eduard Anticipated BSVIs with generalized reflection Parallel session – Faculty Conference room Chairman: Anna Soos 11:30 – 12:30 MARRON, J. S. Object Oriented Data Analysis 12:30 – 13:30 PATRANGENARU Vic Two Sample Tests for Means on Lie Groups and Homogeneous Spaces with Examples 13:00 – 15:00 LUNCH SECTION 7 - Mechanics, Numerical Analysis, Mathematical Models in Sciences – room I.3 Joint Section 2 – room I.1 11:30 – 12:30 MAWHIN Jean Periodic solutions of relativistic-type systems with periodic nonlinearities 13:00 – 15:00 LUNCH Chairman: Gabriela Marinoschi 15:00 – 15:30 MIRANVILLE Alain Some generalizations of the Cahn-Hilliard equation 15:30 – 16:00 CAVATERRA Cecilia Non-isothermal viscous Cahn-Hilliard equation with inertial term and dynamic boundary conditions 16:00 – 16:30 COFFEE BREAK Chairman: Victor Ţigoiu 16:30 – 17:00 KOHR Mirela Boundary value problems of transmission type for the Navier- Stokes and Darcy-Forchheimer-Brinkman systems in weighted Sobolev spaces 17:00 – 17:30 POLISEVSCHI Dan The flow through fractured porous media along Beavers-Joseph interfaces 17:30 – 18:00 PASA Gelu Saffman-Taylor instability for a non-Newtonian Fluid 18:00 – 18:30 ION Stelian Water flow on vegetated hill. Shallow water equations model Special session: Mathematical Modeling of Some Medical and Biological Processes – room II.6 Chairman: Narcisa Apreutesei 15:00 – 15:30 PRECUP Radu
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  • The Perspectives of Scientific Research Seen by Grigore C

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    THE PERSPECTIVES OF SCIENTIFIC RESEARCH SEEN BY GRIGORE C. MOISIL FORTY YEARS AGO EUFROSINA OTLĂCAN* Motto: “There are people whose contribution to the progress of mankind is so great that their biography is put into the shade, the life is hidden away by the work”. (Gr. C. Moisil at the W. Sierpinski’s death) Abstract. The creation, the personality and the entire activity of the Romanian mathematician Grigore C. Moisil (1906–1973) are illustrative of the idea of universality in science and cultural integration. Moisil obtained his degree in mathematics at the University of Bucharest and became a PhD in 1929, with the thesis “The analytic mechanics of continuous systems.” The three years of courses at the polytechnic school did not finalize with an engineer diploma, they only meant an opening towards the understanding of technical problems. The scientific area of Moisil’s work covered, among other domains, the functional analysis applied to the mechanics of continuous media, to differential geometry or to the study of second order equations with partial derivatives. One of the most original parts of Moisil’s creation is his work in mathematical logic. Within this frame Moisil developed his algebraic theory of switching circuits. By his theory of “shaded reasoning”, G. C. Moisil is considered, besides L. Zadeh, one of the creators of the fuzzy mathematics. Apart from his scientific and teaching activities, Moisil was a highly concerned journalist, present in many newspapers and on television broadcasts. Keywords: Grigore C. Moisil, mathematical creation, mathematical analysis, mathematical logic, differential geometry, physics, mechanics. 1. BIOGRAPHICAL DATA The History of the mathematics in Romania (Andonie, 1966) in its pages dedicated to Gr.
  • Turing and Von Neumann's Brains and Their Computers

    Turing and Von Neumann's Brains and Their Computers

    Turing and von Neumann’s Brains and their Computers Dedicated to Alan Turing’s 100th birthday and John von Neumann’s 110th birthday Sorin Istrail* and Solomon Marcus** In this paper we discuss the lives and works of Alan Turing and John von Neumann that intertwined and inspired each other, focusing on their work on the Brain. Our aim is to comment and to situate historically and conceptually an unfinished research program of John von Neumann, namely, towards the unification of discrete and continuous mathematics via a concept of thermodynamic error; he wanted a new information and computation theory for biological systems, especially the brain. Turing’s work contains parallels to this program as well. We try to take into account the level of knowledge at the time these works were conceived while also taking into account developments after von Neumann’s death. Our paper is a call for the continuation of von Neumann’s research program, to metaphorically put meat, or more decisively, muscle, on the skeleton of biological systems theory of today. In the historical context, an evolutionary trajectory of theories from LeiBniz, Boole, Bohr and Turing to Shannon, McCullogh-Pitts, Wiener and von Neumann powered the emergence of the new Information Paradigm. As Both Turing and von Neumann were interested in automata, and with their herculean zest for the hardest proBlems there are, they were mesmerized by one in particular: the brain. Von Neumann confessed: “In trying to understand the function of the automata and the general principles governing them, we selected for prompt action the most complicated oBject under the sun – literally.” Turing’s research was done in the context of the important achievements in logic: formalism, logicism, intuitionism, constructivism, Hilbert’s formal systems, S.C.