About the lecturer: Gang Tian received his B.S. in Mathematics from Nanjing University, his M.S. from Peking University, and his Ph.D. from Harvard University. He was a professor at the Courant Institute of NYU, a Simons Professor at MIT, and a Higgins Professor at Princeton University. He is now a Chair Professor at Peking University and has been the director of the Beijing International Center for Mathematical Research (BICMR) since 2005. He served as a member of the IMU Executive Committee from 2019 to 2022 and as President of the Chinese Mathematical Society from 2020 to 2023. Gang Tian has made fundamental contributions to geometric analysis, complex geometry, and symplectic geometry. He is especially known for his pioneering work on Kähler-Einstein metrics, K-stability, and the Yau-Tian-Donaldson conjecture, as well as for foundational contributions to Gromov-Witten theory, higher-dimensional gauge theory, and the analytic minimal model program via the Kähler-Ricci flow. Gang Tian received the Alan T. Waterman Award in 1994 and the Oswald Veblen Prize in 1996. He spoke at the International Congress of Mathematicians in 1990 and 2002. He was elected to the Chinese Academy of Sciences in 2001 and the American Academy of Arts and Sciences in 2004.