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 two weekly seminar programs. Each program participants will be asked to give a talk on geometric analysis, or the evolution of equations, hyperbolic equations, and fluid dynamics.
Seminar on Evolution Equations
Concluding Conference on Nonlinear Equations Program
Mini-School on Nonlinear Equations, Dec. 2016
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 |
|---|---|---|
| Stefano Bianchini | SISSA | 04/01/2016 – 05/31/2016 |
| Lydia Bieri | University of Michigan | 02/01/2016 – 04/30/2016 |
| 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 | ETHZ (Swiss Federal Institute of Technology in Zurich) | 03/17/2016 – 04/04/2016 |
| Piotr Chrusciel | University of Vienna | 03/01/2016 – 05/30/2016 |
| Fernando Coda Marques | Princeton University | 04/25/2016 – 04/29/2016 05/23/2016 – 05/27/2016 |
| 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 | 03/21/2016 – 04/01/2016 |
| Felix Finster | Universitat Regensburg | 09/20/2015 – 10/20/2015 03/20/2016 – 04/20/2016 |
| Xianfeng David Gu | SUNY at Stony Brook | 04/01/2016 – 04/30/2016 |
| Zheng-Cheng Gu | Perimeter Institute for Theoretical Physics | 08/15/2015 – 09/15/2015 |
| Pengfei Guan | McGill University | 10/10/2015 – 10/17/2015 |
| Xiaoli Han | Tsinghua University | 01/20/2016 – 04/19/2016 |
| Thomas Hou | California Institute of Technology | 11/01/2016 – 11/30/2016 |
| Feimin Huang | Chinese Academy of Sciences | 02/15/2016 – 04/15/2016 |
| Xiangdi Huang | Chinese Academy of Sciences | 09/10/2015 – 12/10/2015 |
| Tom Ilmanen | ETH Zurich | 10/19/2015 – 12/18/2015 |
| Niky Kamran | McGill Univeristy | 04/04/2016 – 04/08/2016 |
| Nicolai Krylov | University of Minnesota | 11/01/2015 – 11/30/2015 |
| Junbin Li | Sun Yat-sen University | 02/01/2016 – 04/30/2016 |
| Yong Lin | Renmin University of China | 02/01/2016 – 03/31/2016 |
| Andre Neves | Imperial College London | 4/25/2016 – 4/29/2016; 5/23/2016 – 5/27/2016 |
| Duong H. Phong | Columbia University | 04/08/2016 – 04/10/2016 |
| Ovidiu Savin | Columbia University | 10/15/2015 – 12/14/2015 |
| Richard Schoen | Stanford University | 03/21/2016 – 03/25/2016 |
| Mao Sheng | University of Science and Technology of China | 01/15/2016 – 01/28/2016 |
| Valentino Tosatti | Northwestern University | 02/01/2016 – 04/15/2016 |
| John Toth | McGill University | 04/04/2016 – 04/08/2016 |
| Chung-Jun Tsai | National Taiwan University | 05/01/2016 – 05/08/2016 |
| Tai-Peng Tsai | University of British Columbia | 03/20/2016 – 05/31/2016 |
| Li-Sheng Tseng | UC Irvine | 02/08/2016 – 02/19/2016; 04/27/2016 – 05/11/2016 |
| Chun Peng Wang | Jilin University | 02/01/2016 – 04/30/2016 |
| Xu-Jia Wang | Australian National University | 04/01/2016 – 05/31/2016 |
| Ben Weinkove | Northwestern University | 02/28/2016 – 03/18/2016 |
| Sijue Wu | University of Michigan | 04/01/2016 – 04/30/2016 |
| Chunjing Xie | Shanghai Jiao Tong University | 09/08/2015 – 12/07/2015 |
| Zhou Ping Xin | The Chinese University of Hong Kong | 10/01/2015 – 11/30/2015 |
| Hongwei Xu | Zhejiang University | 09/01/2015 – 11/30/2015 |
| Peng Ye | University of Illinois at Urbana-Champaign | 11/15/2015 – 11/22/2015 |
| Pin Yu | Tshinghua University | 09/07/2015 – 12/10/2015 |
| Yi Zhang | Fudan University | 01/18/2016 – 05/31/2016 |