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On Monday, October 22, 2018 the Department of Mathematics will welcome Dr. Gigliola Staffilani, the Abby Rockefeller Mauze Professor of Mathematics at the Massachusetts Institute of Technology.


   Afternoon Colloquium Talk
    
The Many Faces of Dispersive Equations

12:30 p.m., Patrick Lecture Hall
                               Townes Science Center, Plyler Hall 126
 

                                                      Abstract
In this lecture I will introduce one of the most famous equations in physics: The nonlinear Schrodinger equation.  I will give a definition of dispersion and I will explain how dispersion and nonlinearity come together to general solutions.  I will give an idea of how we are able to determine if such an equation has solutions and how we learn about their properties in spite of the fact that we do not have an explicit formula for them.  If time permits, I will also look at this equation as an infinite dimension Hamiltonian system and at some of the properties that we can prove for it and that generate what we know in the infinite dimension case.                                          

 
               
                                          Evening Presentation
         
How the Study of Complex Wave Phenomena
Inspires Beautiful Mathematics

7:30 p.m., Shaw Hall of the Younts Conference Center
                                                                              
                                                      Abstract
Waves are all around us:  ocean waves, sound waves, rainbows,  Scientists have spent countless hours trying to understand them and to harness from them the energy that they encapsulate.  In this talk I will try to convey how the mathematical study of these physical phenomena have also created and inspired a whole set of new mathematical tools that are elegant, powerful and also incredibly beautiful in their abstract nature.  These tools are now used to answer open problems in completely different settings, from number theory to probability, to symplectic geometry and more.                               


Previous CLANTON Speakers

2017-2018:  Jill C. Pipher, Brown University
2016-2017:  William Trotter, Georgia Institute of Technology
2015-2016:  Richarad Karp, University of California, Berkeley
2014-2015:  Bryna Kra, Northwestern University

2013-2014: 
Avi Wigderson, Institute of Advanced Study, Princeton, NJ
2012-2013: Ken Ono, Emory University
2011-2012:
William J. Cook, Georgia Institute of Technology
2010-2011:
J. Michael Steele, University of Pennsylvania
2009-2010: Donald Saari, University of California, Irvine
2008-2009: Stephen Stigler, University of Chicago
2007-2008: Colin Clark, University of British Columbia
2006-2007: Barry Mazur, Harvard University
2005-2006: Peter Winkler, Dartmouth College
2003-2004: Jeffrey Weeks, Mathematician and author of The Shape of Space
2002-2003: Frank Morgan, Williams College
2001-2002: George Andrews, Pennsylvania State University
2000-2001: Kenneth Ribet, University of California, Berkeley
1999-2000: Jonathan Borwein, Simon Fraser University
1998-1999: Carolyn Gordon, Dartmouth College
1997-1998: Mary Ellen Rudin, University of Wisconsin
1996-1997: László Lovász, Yale University
1995-1996: Frederick Mosteller, Harvard University
1994-1995: Saunders MacLane, University of Chicago
1993-1994: Persi Diaconis, Harvard University
1992-1993: John H. Conway, Princeton University
1991-1992: Paul Halmos, Santa Clara University
1990-1991: Bradley Efron, Stanford University
1989-1990: Carl Pomerance, University of Georgia
1988-1999: Heinz-Otto Peitgen, University of Bremen
1987-1988: Ronald Graham, AT&T Bell Laboratories


 


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