On December 10, the College of Mathematics and Physics successfully held the eighth session of the "Xishu·Wuli" high-level academic lecture series at the Lixue Lecture Hall on the Changping Campus. The event featured an academic report by Professor Yang Xiaokui from the Yau Mathematical Sciences Center of Tsinghua University, titled "Geometry and Analysis Inspired by RC-Positivity." The report was presided over by Wang Lijun, Secretary of the College of Mathematics and Physics, with over 300 teachers and students from the Changping Campus in attendance.
Professor Yang Xiaokui's report focused on the latest advancements connecting algebraic positivity and differential geometric positivity, highlighting key developments inspired by RC-positivity. Starting from the fundamental frameworks of linear algebra and complex analysis, Professor Yang elucidated, in an accessible manner, several core concepts he developed while tackling important conjectures such as the Yau conjecture. During the interactive session, Professor Yang engaged in a lively discussion with the attending faculty and students on topics such as how to excel in mathematics and patiently addressed their questions.
the "Xishu·Wuli" high-level academic lecture series remains committed to building a high-level platform for academic exchange. It aims to help teachers and students stay abreast of disciplinary developments, enhance their research literacy and forward-looking capabilities, and drive talent cultivation and scientific innovation through cutting-edge achievements.
【Introduction to the expert】
Yang Xiaokui is a professor at the Yau Mathematical Sciences Center of Tsinghua University. His research primarily focuses on complex geometry, geometric analysis, and complex algebraic geometry. In 2015, he was selected for the Young Talent Program of the Overseas High-Level Talent Introduction Initiative. He received the Best Paper Award from the Consortium of Chinese Mathematicians in 2018 and was granted the National Science Fund for Distinguished Young Scholars in 2023. By employing comprehensive techniques from differential geometry, algebraic geometry, complex analysis, and PDEs, he has revealed profound connections between mean curvature in differential geometry and positivity in algebraic geometry, completely resolving several famous conjectures proposed in the 1980s by Professor Shing-Tung Yau, a Fields Medalist. He has published over thirty papers in top-tier international journals such as Invent. Math., Camb. J. Math., J. Differential Geom., Amer. J. Math., J. Math. Pures Appl., Math. Ann., J. Inst. Math. Jussieu, Compositio Math., J. Algebraic Geom., and Trans. AMS.