Valid Until: 2026-12-31 23:59
Abstract: Algebraic structures are generally considered to be quite rigid, while symplectic structures are more flexible. However, since the 1990s, there have been some striking discoveries that suggest the distinction between the two different worlds is not as strict as one naively thinks. Thanks to the work of many people, we have a better understanding of the symplectic nature of certain algebraic invariants, ranging from basic building blocks of algebraic varieties in birational geometry to invariants of singularities. In this talk, I plan to discuss these connections between symplectic and algebraic geometry, with a particular emphasis on the so-called symplectic birational geometry, some intriguing questions and partial answers.
Bio: Zhiyu Tian is an associate professor at BICMR, Peking University. He obtained his PhD from Stony Brook University in 2011 and worked at Caltech (2011-2014), Bonn (fall 2014) and Institut Fourier (2015-2018) before joining Peking University. He received Qiushi Award for young scientists. His research interest is algebraic geometry.