This award will support an NSF/CMBS regional conference to be held at Kansas State University in the summer of 2013 on the global behavior of solutions to critical nonlinear wave equations. The principal speaker will be Professor Carlos Kenig from the University of Chicago. The lectures will cover such areas as local and global well-posedness, scattering, finite time blow up, and soliton resolution for classes of nonlinear dispersive equations. In addition to the 10 main lectures by Dr. Kenig, lectures will be presented by other experts in these fields.
Hallmarks of the NSF/CBMS regional conference series are focus on a single important and timely area of research by a leading practitioner, a published monograph for a wider audience, and continued effect and local stimulation through regional recruitment emphasis. For this conference, the lectures will also be posted online to provide greater access. This award will support approximately 25 participants in the conference, mostly at early stages of their careers.
During June 17-21, 2013, the Department of Mathematics at Kansas State University hosted an NSF-CBMS Regional Research Conference in the Mathematical Sciences. The conference, "The Global Behavior of Solutions to Critical Nonlinear Wave Equations", featured Professor Carlos Kenig from the University of Chicago as the principal speaker. Kenig's lectures will have impact on the advancement of mathematics at its most fundamental level, and the further development of useful mathematical theories for nonlinear partial differential equations that play an essential role in mathematical physics and engineering. In particular, in areas such as water waves, optics, laser, ferromagnetism, and general relativity. The conference stimulated networks and mentoring relationships between current and future mathematicians, and provided students with top-of-the-line mathematical education. In addition to Kenig's ten lectures, invited talks were delivered by other experts in the field: Ioan Bejenaru from the University of California, San Diego; Thomas Duyckaerts from the Université Paris 13; Justin Holmer from Brown University; Andrea Nahmod from the University of Massachusetts, Amherst; Natasa Pavlovic from the University of Texas at Austin; Gustavo Ponce from the University of California, Santa Barbara; Gigliola Staffilani from the Massachusetts Institute of Technology; and Luis Vega from the Universidad del País Vasco. Kenig prepared complete, detailed, and outstanding notes of each of his ten lectures and made them available for posting at the conference's webpage one month in advance to the start of the conference. Each lecture lasted for about 60-70 minutes and part of the tenth lecture was devoted to the presentation of open problems in the field. Participants expressed in numerous occasions their great appreciation for Kenig's lectures, as well as for those by invited speakers. The conference counted with 86 registered participants (including 3 undergraduate students, 36 graduate students, 20 postdocs, 14 women). There were 1 partially supported undergraduate student; 22 partially supported graduate students, 4 of them women; 12 partially supported postdocs, 1 of them a woman; 9 partially supported speakers. The conference's webpage is www.math.ksu.edu/events/conference/cbms2013/ and contains all pertaining information. It includes Kenig's complete lecture notes, descriptions of each of Kenig's lectures and titles and abstracts of talks by invited speakers. Video of Kenig's lectures and presentations by invited speakers, pictures, and a poster used to advertise the conference are also available at the conference site. The page also shows a schedule, a list of participants, and information regarding registration, lodging, KSU and the town of Manhattan, Kansas.
