• The Complexity of Random Functions of Many Variables 

      Arous, Gérard Ben (Georgia Institute of Technology, 2016-08-31)
      A function of many variables, when chosen at random, is typically very complex. It has an exponentially large number of local minima or maxima, or critical points. It defines a very complex landscape, the topology of its ...
    • How Quantum Theory and Statistical Mechanics Gave a Polynomial of Knots 

      Jones, Vaughan (Georgia Institute of Technology, 2014-09-25)
      We will see how a result in von Neumann algebras (a theory developed by von Neumann to give the mathematical framework for quantum physics) gave rise, rather serendipitously, to an elementary but very useful invariant in ...
    • Multiscale Modeling and Simulation: The Interplay Beween Mathematics and Engineering Applications 

      Hou, Thomas Y. (Georgia Institute of Technology, 2009-10-26)
      Many problems of fundamental and practical importance contain multiple scale solutions. Composite and nano materials, flow and transport in heterogeneous porous media, and turbulent flow are examples of this type. Direct ...
    • Riemann, Boltzmann and Kantorovich Go to a Party 

      Villani, Cedric (Georgia Institute of Technology, 2013-04-19)
      This talk is the story of an encounter of three distinct fields: non-Euclidean geometry, gas dynamics and economics. Some of the most fundamental mathematical tools behind these theories appear to have a close connection, ...
    • Role of Mathematics Across Science and Beyond 

      Glimm, James (Georgia Institute of Technology, 2010-11-22)
      The changing status of knowledge from descriptive to analytic, from empirical to theoretical and from intuitive to mathematical has to be one of the most striking adventures of the human spirit. The changes often occur ...