组织者 / Organizer
邱宇、郑志伟
主讲人 / Speaker
Chunyi Li 李纯毅
University of Warwick
课程安排 / Schedule
15:00-17:00
Jan. 9, 10, 11, 17, 18, 2026
地点 / Venue
C654, Tsinghua University Shuangqing Complex Building A
Introduction to
Bridgeland stability conditions
课程介绍 / Description
The notion of stability conditions on a triangulated category was introduced by Bridgeland in the early 2000s, inspired by Douglas’s concept of $\Pi$-stability. Although its original motivation comes from mathematical physics, the theory has found a wide range of applications over the past two decades. In this mini-course, I will discuss several of its key applications in algebraic geometry, focusing in particular on positivity theory, birational geometry, and moduli spaces.
The first three lectures are intended for a general audience in algebraic geometry. I will cover topics including classical stability for vector bundles, the Bogomolov inequality, Hilbert schemes, the Beilinson quiver, triangulated categories, and stability conditions on curves and surfaces. The final two lectures are aimed at participants with a more specialized interest in the subject. Topics will include wall-crossing phenomena on the stability manifold, stability conditions on higher-dimensional varieties, and families of stability conditions.
主讲人简介 / About the Speaker
Chunyi Li is an associate professor in the Mathematics Institute at the University of Warwick. He obtained his Ph.D. from the University of Illinois at Urbana-Champaign in 2014. Previously, he received his B.S. from Peking University. In 2022, He was awarded the Whitehead Prize for his deep contributions to a wide range of questions in algebraic geometry, in particular in the theory of Bridgeland stability conditions and moduli spaces.
Research Interests
Algebraic geometry, Derived category, Stability condition
