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Trends in Contemporary Mathematics

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Vincenzo Ancona

    1. Istituto Nazionale di Alta Matematica "Francesco Severi", Roma, Italy

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  2. Elisabetta Strickland

    1. Dipartimento di Matematica, Università degli Studi di Roma "Tor Vergata", Roma, Italy

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    You can also search for this editor in PubMed   Google Scholar

  • Original approach, shows different topics in top level mathematics
  • Top authors contributing to this collection of papers
  • Presents the new trends of mathematics

Part of the book series: Springer INdAM Series (SINDAMS, volume 8)

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Table of contents (21 papers)

  1. Front Matter

    Pages i-x
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  2. Interpolation and Comparison Methods in the Mean Field Spin Glass Model

    • Francesco Guerra
    Pages 1-12

  3. Integrability of Dirac Reduced Bi-Hamiltonian Equations

    • Alberto De Sole, Victor G. Kac, Daniele Valeri
    Pages 13-32

  4. Some Open Problems About Aspherical Closed Manifolds

    • Wolfgang Lück
    Pages 33-46

  5. Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions

    • Gunther Cornelissen, Matilde Marcolli
    Pages 47-57

  6. Exploring Noncommutative Algebras via Deformation Theory

    • Pavel Etingof
    Pages 59-72

  7. Mathematical Models and Solutions for the Analysis of Human Genotypes

    • Giuseppe Lancia
    Pages 73-84

  8. Kodaira-Spencer Formality of Products of Complex Manifolds

    • Marco Manetti
    Pages 85-95

  9. Monomial Transformations of the Projective Space

    • Olivier Debarre, Bodo Lass
    Pages 97-103

  10. Progress in the Theory of Nonlinear Diffusion: Asymptotics via Entropy Methods

    • Juan Luis Vázquez
    Pages 105-124

  11. Challenges in Geometric Numerical Integration

    • Ernst Hairer
    Pages 125-135

  12. Integral Hodge Classes, Decompositions of the Diagonal, and Rationality Questions

    • Claire Voisin
    Pages 137-149

  13. Unlikely Intersections and Pell’s Equations in Polynomials

    • Umberto Zannier
    Pages 151-169

  14. Birational Geometry of Projective Varieties and Directed Graphs

    • Paolo Cascini
    Pages 171-180

  15. Dynkin and Extended Dynkin Diagrams

    • Idun Reiten
    Pages 181-193

  16. Tracking Control of 1D Scalar Conservation Laws in the Presence of Shocks

    • Rodrigo Lecaros, Enrique Zuazua
    Pages 195-219

  17. Finite Simple Groups of Small Essential Dimension

    • Arnaud Beauville
    Pages 221-228

  18. Geometric Constructions of Extremal Metrics on Complex Manifolds

    • Claudio Arezzo
    Pages 229-247

  19. Deriving Ohm’s Law from the Vlasov-Maxwell-Boltzmann System

    • Laure Saint-Raymond
    Pages 249-262

  20. Kinetic Theory and Gas Dynamics, Some Historical Perspectives

    • Tai-Ping Liu
    Pages 263-276
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Keywords

About this book

The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non commutative algebras. This work contains a selection of contributions written by international leading mathematicians who were speakers at the "INdAM Day", an initiative born in 2004 to present the most recent developments in contemporary mathematics.

Editors and Affiliations

  • Istituto Nazionale di Alta Matematica "Francesco Severi", Roma, Italy

    Vincenzo Ancona

  • Dipartimento di Matematica, Università degli Studi di Roma "Tor Vergata", Roma, Italy

    Elisabetta Strickland

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