Talks (English)

Parts of this material is based upon work supported by the National Science Foundation
under Grant No. 0300398 and No. 0600956

             
    Riemannian Geometry on Metric Cantor Sets  (pdf file)
       Institut Camille Jordan,  Université Claude Bernard - Lyon I , France,
     20 June 2008  

    The theory of Aperiodic Solids: 4 Lectures
          0)- Colloquium Talk: The Noncommutative Geometry of Aperiodic Solids
          1)- Lecture I:    Construction of the Noncommutative Brillouin Zone
          2)- Lecture II:  Coherent and Dissipative transport
          3)- Lecture III: The Riemannian Geometry of Atomic Surfaces
       SISSA, Trieste, Italy, 26-30 May 2008  

    Quantum Computing: what is it ?     Power Point file   
       School of Mathematics, Georgia Institute of Technology, Thursday March 6, 2008


    The Topology of Tiling Spaces     pdf.file     
       (i) Friedrich-Alexander-Universität Erlangen-Nürnberg,
       Mathematisches Institut, June 26th, 2007
      (ii) Fakultät für Mathematik Universität Bielefeld, June 28th, 2007
      (iii)  DMA-Ecole Normale Supérieure, Paris, July 4th, 2007
      (iv) Born-Hilbert Seminar, Universität Göttingen, July 9th, 2007
        (v) Meccanica (a conference in honor of Sandro Graffi), Bologna, Italy, August 30th, 2008


    Analysis and Probability in Quantum Physics
      Pan-American Advanced Studies Institute, 2006 (PASI)
      Pontificia Universidad Católica de Chile, Santiago de Chile,
      24 July-4 August, 2006
     Transport Theory in Dissipative Quantum Systems (135 pages)
                                                 pdf.file (.7Mb)       psfile (2.9Mb)

    Max Born Symposium in Theoretical Physics, Wroclaw June 26-28, 2006
       "Mathematical Problems in Nonrelativistic Quantum Dynamics"
       Topics in Quantum Transport Theory  (pdf)  (ps)


   Festival Colin de Verdière Grenoble Mai 29-June 2  2006
      Bloch Electrons in a Magnetic Field  (pdf)

    Three Lectures on the Quantum Hall Effect  (pdf)
Vanderbilt University, Department of Mathematics, Dec 2-3 2005

      Three Lectures on the Theory of Aperiodic Solids
Gill Foundation, Distinguished Lecture Series
UCLA, Department of Mathematics, May 3-6, 2005
          Lecture I:     Structural Aspects and Noncommutative Geometry  (pdf)
          Lecture II:   Coherent and Dissipative Transport  (pdf)
          Lecture III:  The Integer Quantum Hall Effect   (pdf)


     Dissipative Transport and Kubo's Formula in Aperiodic Solids  (pdf)
Program on Open Quantum Systems
Erwin Schrödinger Institute, Wien, Feb. 1st, 2005

      Various Mathematical Aspects of Tiling Spaces  (pdf)
School of Mathematics, Georgia Tech, Jan. 24th, 2005

     Kubo's Formula for Quantum Transport  (pdf)
         Mathematics and Physics of Disordered Systems
         Mathematisches Forschungsinstitut Oberwolfach, May2-7, 2004
    Two Lectures on "Quantum Computing"
        "I: Introduction. Qubits, Quantum circuits (pdf) "
                                      (PowerPoint version 0.4MB)
        "II: Algorithms, Error-correcting codes, Physical Realizations (pdf)"
                                      (PowerPoint version 0.7MB)
Georgia Institute of Technology,
School of Mathematics, Atlanta, GA, October 15 & 29,  2003

    Coherent and Dissipative Transport in Aperiodic Media   (pdf)
        "The Noncommutative Geometry of Aperiodic Solids"
        "Entropy and Information: a physicist point of view" (PowerPoint Presentation 1.7 MB )
 Florida State University, Gainesville, FL, October 1-3,  2003

    Kinetic Models for Electronic Transport in Aperiodic Solids  (pdf)
Université Scientifique et Technique de Lille (USTL), France, June 24,  2003

    Linear Response Theory & Kubo's Formula for Electronic Transport  (pdf)
University of California Irvine, CA, May 29,  2003

    Tilings, Aperiodic Media and their Noncommutative Geometry  (pdf)
Duke University, February 28,  2003,
Vanderbilt University, Nashville TN, May 12-13, Shanks Lectures.

    Random Matrix theory and the 2D Anderson Model  (pdf)
-Rutgers, December 15, 2002: "88th Statistical Mechanics Conference" Rutgers University,
    Celebrating E. Lieb's 70th birthday.
-Pasadena, February 17-18, 2003: "Western Seminar" Caltech, Mathematics,
- Como "Quantum Chaos: Theory and Applications", Villa Olmo, Como, June 17-22, 2003,
Celebrating G. Casati's 60th birthday. 

     I.H.E.S., Bures s/Yvette, France,  April 3, 2002    The Noncommutative Geometry of Aperiodic Solids   (pdf)
           "Rencontres de géométrie non-commutative" en l'honneur d'Alain Connes,

     38th Winter School of Theoretical Physics, 6-15 February 2002, Lądek Zdrój, Poland
           "Dynamical Semigroups: Dissipation, Chaos, Quanta"
           Coherent and Dissipative Transport in Aperiodic Solids: Part A   (pdf)
           Coherent and Dissipative Transport in Aperiodic Solids: Part B   (pdf)

     Georgia Institute of Technology, School of Physics, September 3-6, 2001
           The Strange Properties of Quasicrystals

     UC Berkeley, Departement of Mathematics, NJ,  August 23, 2001
           The Gap Labelling Theorem for Tilings   (pdf)

     Princeton, NJ,  December 12, 2000   Coherent and Dissipative Transport in Aperiodic Media   (pdf)

     MSRI, Berkeley, CA, October 17, 2000   Noncommutative Fermi surfaces  (pdf)
 
     MSRI, Berkeley, CA,  September 26, 2000
           Gap Labelling Theorem for Aperiodic Solids  (pdf)
 
     De Rham Colloquium, Lausanne, Switzerland, March 15, 2000
           Noncommutative Geometry of Aperiodic Solids  (pdf)
 
     Mathematical and Physical aspects of the (fractional) Quantum Hall Effect,
            Adelaide, Australia, August 16-20, 1999, 
           The Noncommutative Geometry of the Integer Quantum Hall Effect.   (pdf)
 
     Clausthal, Germany, November 2-6, 1998
           Kinetic Models for Quantum Transport: anomalous transport   (pdf)