Bài giảng đại chúng: What is the Ricci flow?

Địa điểm: Viện Nghiên cứu cao cấp về Toán, 157 phố Chùa Láng, phường Láng Thượng, quận Đống Đa, Hà Nội.

Báo cáo viên: Hung Tran

Thời gian: 14:00 - 15:30 Thứ Ba, 27/12/2022

Tóm tắt:


Abstract: About twenty years ago, there were a few preprints posted in Arxiv, shaking up the whole landscape of mathematics. One of the Seven Millenium Problems was to be resolved. Still the only one up to now.  

The Ricci flow was introduced by R. Hamilton in the 80s possibly to target another mathematical question. Twenty years later, it ended up framing the proof of the Poincare conjecture (via the work of G. Perelman). This talk gives a gentle introduction to this powerful mechanism and explains how it is an analog of a heat equation in a geometric setting. We also survey a few celebrated results and briefly mention recent developments. 

About the Speaker: Born and raised in Vietnam, Dr. Hung Tran received his Ph.D. in mathematics in 2014 from Cornell University. His first position was as a visiting assistant professor at the University of California at Irvine. In 2017, he joined Texas Tech University where he is currently an assistant professor. His research lies at the interface of geometry and analysis with potential applications to mathematical physics, biology, and data sciences. He is a recipient of prestigious grants including an award from the (U.S.) National Science Foundation and several collaborative grants from the Simons Foundation and the Vietnam Institute for Advanced Study in Mathematics.

Hình thức: Trực tiếp và trực tuyến (tham dự trực tuyến chỉ dành cho đại biểu ở ngoài Hà Nội)