Professor Hidehiko Yamabe (1924--1960) came to Minnesota from IAS as an assistant professor in 1956. During his four years here he worked on a number of diverse topics in geometry and analysis: he initiated the problem of whether, given a Riemannian metric on a smooth compact manifold of dimension > 2, there exists a conformally equivalent metric of constant scalar curvature; he made contributions to Hilbert's 5th problem and various diffusion problems. Yamabe died in 1960, at age 37, of a massive stroke, said to have been brought on by war injuries as a civilian. This tragedy happened soon after he was appointed a full professor at Northwestern University. Yamabe's widow and two young daughters were left virtually penniless as Yamabe no longer had a pension from Minnesota and hadn't yet gained one from Northwestern. Faculty of both Northwestern and Minnesota raised a small amount of money to help the family, who then moved back to Japan.
The Yamabe Memorial Lecture was initiated jointly with Northwestern about 1962. It consisted of one lecture by a prominent mathematician each year, to alternate between Northwestern (odd numbered years) and Minnesota (even years). It was soon supported by a small subsidy from Yamabe's widow (this initial donation was later augmented in Minnesota by significant faculty contributions resulting in the present endowment called the Yamabe Fund). The distinguished speakers brought in year after year established the Lectures as an important event in the mathematical calendar, especially in the Midwest.
Past speakers include Neil Trudinger, Eugenio Calabi, Rick Schoen, Shizuo Kakutani, Craig Evans, Walter Rudin, Robert Hardt, Katsumi Nomizu, Fred Gehring, Richard Hamilton, Peter Sarnak, Jeff Cheeger, Shing-Tung Yau, Terence Tao, Igor Rodnianski, Luis Caffarelli, Tai-Ping Liu, Sergiu Klainerman and Simon Brendle.
Hidehiko and Etsuko Yamabe
Hidehiko Yamabe on mid-right
The Yamabe Memorial Symposium is an enhancement of the Yamabe Lecture tradition. Mathematicians gather every two years at the University of Minnesota for a long weekend to hear geometry talks, discuss the latest research and interact with younger mathematicians. One goal is to advance areas of mathematics related to the interests of Hidehiko Yamabe, which touched in a substantial and ground-breaking way on several quite different areas of mathematics, all of which may be roughly described as having significant geometric aspects.
- The First Yamabe Memorial Symposium: Geometry and Analysis was held Friday - Sunday, September 20 - 22, 2002.
Speakers were Hubert Bray, Ben Chow, Richard Hamilton, Peter Li, Fang-Hua Lin, Richard Schoen, Gang Tian and Brian White.
- The Second Yamabe Memorial Symposium: Geometry and Physics was held Friday - Sunday, September 17 - 19, 2004.
Speakers were Robert Bryant, Sheldon Katz, Kefeng Liu, Duong Phong, Paul Seidel, Isadore M. Singer, Karen Uhlenbeck and Shing-Tung Yau.
- The Third Yamabe Memorial Symposium: Geometry and Symplectic Topology was held Friday - Sunday, September 15 - 17, 2006.
Speakers were Denis Auroux, Yasha Eliashberg, Ron Fintushel, Mikio Furuta, Helmut Hofer, Dusa McDuff, Peter Ozsváth and Yongbin Ruan.
- The Fourth Yamabe Memorial Symposium: Geometry and Analysis was held Friday - Sunday, September 26 - 28, 2008.
Speakers were Simon Brendle, Alice Chang, Gerhard Huisken, Ngaiming Mok, Leon Simon, Yum-Tong Siu, Neil Trudinger and Burkhard Wilking.
- The Fifth Yamabe Memorial Symposium: Geometry and Low-Dimensional Topology was held Friday - Sunday, October 8 - 10, 2010.
- The Sixth Yamabe Memorial Symposium: Geometric Analysis 50th Anniversary was held Friday - Sunday, October 5 - 7, 2012.
Speakers were Huaidong Cao, Jean-Pierre Demailly, Benson Farb, Robert Hardt, Misha Kapovich, Conan Leung, Natasa Sesum, and Ben Weinkove.
- The Seventh Yamabe Memorial Symposium: Current Topics in Three-Manifolds was held Friday - Sunday, October 17 - 9, 2014.
Speakers were Ian Agol, Mladen Bestvina, Ursula Hamenstaedt, Jeremy Khan, Ciprian Manolescu, Vlad Markovic, Mahan Mj, and Stefano Vidussi.
- The Eighth Yamabe Memorial Symposium: Symplectic Geometry and Complex Geometry was held Friday - Sunday, September 30 - October 2, 2016.
Speakers were Paul Biran, Mark McLean, Emmy Murphy, Kaoru Ono, Valentino Tosatti, Claire Voisin, Chris Wendl, and Sai Kee Yeung.
2008 Yamabe Symposium Group Photo
2010 Yamabe Symposium Group Photo