Speaker: Tao Gui 桂弢 (北京大学)
Time: 2025-11-28 10:30-11:30
Location: 910, SIMIS
摘要：
The Hilbert’s 15th problem is to put Schubert’s enumerative calculus on a rigorous foundation. It had a profound impact on the development of intersection theory and enumerative algebraic geometry. In modern language, the problem is boiled down to compute the multiplicative structure constants of the Schubert classes in the cohomology of the flag varieties. It is a major outstanding open problem in enumerative geometry and combinatorics to give a positive formula or a combinatorial model for these numbers. I will give an introduction of this problem and explain our recent progress. Based on ongoing work with Yibo Gao.
About Speaker:
Tao Gui is a postdoctoral researcher at the Beijing International Center for Mathematical Research, Peking University. He received his bachelor’s degree from the School of Mathematics at Sichuan University in 2018 and earned his Ph.D. in 2023 from the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, under the supervision of Professor Nanhua Xi. His main research interests include Lie theory, representation theory, combinatorial algebraic geometry, and combinatorial Hodge theory.
简体中文 
English