Special Program on Nonlinear Equations

 

Most physical phenomena, from the gravitating universe to fluid dynamics, are modeled on nonlinear differential equations. The subject also makes close connections with other branches of mathematics. In particular, some of the deepest results in complex geometry and topology were obtained through solutions of nonlinear equations.

The subject underwent rapid developments in the last century and foundational results were established. Compared to linear equations, the difficulty of solving nonlinear equations is of a different order of magnitude and the methods employed in solving them are also much more diversified. To this date, it is an active field with recent exciting discoveries and renewed interests, and several long standing problems seem to be within reach. The special year aims to spur activity in this subject, to provide a natural setting for the most cutting edge results to be communicated, and to facilitate interaction among researchers of different backgrounds.

During the year, there will be three weekly seminar programs.  Each program participants will be asked to give a talk on one or more of the following topics:  general relativity, geometric analysis, and evolution of equations, hyperbolic equations, and fluid dynamics.   Accordingly, there will be three seminar talks per week for this program.

Click here for the schedule for the seminar on geometric analysis.

Click here for the schedule for the seminar on general relativity.

Click here for the schedule for the seminar on evolution of equations.

 

 

 

 

 

 

 

 

Here is a partial list of the mathematicians who have indicated that they will attend part or all of this special program

Name Home Institution Tentative Visiting Dates
Luigi Ambrosio Scuola Normale Superiore 01/01/2016 – 02/28/2016
Stefano Bianchini SISSA 04/01/2016 – 05/31/2016
Lydia Bieri University of Michigan 02/01/2016 – 04/30/2016
Xavier Cabre Universitat Politècnica de Catalunya TBD
Luis Caffarelli University of Texas at Austin TBD
Albert Chau University of British Columbia 02/26/2016 – 05/26/2016
Binglong Chen Sun Yat-sen University 09/01/2015 – 11/30/2015
Qingtao Chen International Center for Theoretical Physics TBD
Po-Ning Chen Columbia University TBD
Piotr Chrusciel University of Vienna TBD
Fernando Coda Marques IMPA TBD
Mihalis Dafermos Princeton University 04/01/2016 – 04/30/2016
Camillo De Lellis University of Zurich 02/01/2016 – 4/30/2016
Michael Eichmair University of Vienna TBD
Felix Finster Universitat Regensburg 9/20/2015 – 10/20/2015 3/20/2016 – 4/20/2016
Jixiang Fu Fudan Univeristy 03/01/2016 – 04/30/2016
Irene Gamba University of Texas at Austin TBD
Yoshikazu Giga The University of Tokyo TBD
Zheng-Cheng Gu Perimeter Institute for Theoretical Physics 08/15/2015 – 09/15/2015
Pengfei Guan McGill University TBD
Yan Guo Brown University TBD
Thomas Hou California Institute of Technology 11/01/2016 – 11/30/2016
Feimin Huang Chinese Academy of Sciences 02/01/2016 – 04/30/2016
Xiangdi Huang Chinese Academy of Sciences 09/10/2015 – 12/10/2015
Tom Ilmanen ETH Zurich TBD
Niky Kamran McGill Univeristy TBD
Nicolai Krylov University of Minnesota 11/01/2015 – 11/30/2015
Junbin Li Sun Yat-sen University 02/01/2016 – 4/30/2016
Tao Luo Georgetown University TBD
Andre Neves Imperial College London TBD
Duong H. Phong Columbia University 04/01/2016 – 05/31/2016
Ovidiu Savin Columbia University 10/01/2015 – 11/30/2015
Richard Schoen Stanford University TBD
Joel Smoller University of Michigan TBD
Daniel Tartaru UC Berkeley TBD
Valentino Tosatti Northwestern University 02/01/2016 – 04/15/2016
Tai-Peng Tsai University of British Columbia 03/20/2016 – 05/31/2016
Chunpeng Wang Jilin University 1/21/2016 – 4/20/2016
Ben Weinkove Northwestern University 02/28/2016 – 03/18/2016
Chunjing Xie Shanghai Jiao Tong University 09/08/2015 – 12/07/2015
Zhouping Xin The Chinese University of Hong Kong 10/01/2015 – 11/30/2015
Hongwei Xu Zhejiang University 09/01/2015 – 11/30/2015
Huicheng Yin Nanjing University 02/01/2016 – 04/30/2016
Pin Yu Tshinghua University 09/01/2015 – 11/30/2015
Ping Zhang Chinese Academy of Sciences 03/01/2016 – 05/31/2016
Yi Zhang Fudan University 02/01/2016 – 05/31/2016