报告题目1：Introduction to higher-dimensional Heegaard Floer homology

报告人：袁天宇，宁波东方理工大学

报告时间：2026年1月20日（周二）14:00

报告地点：20-306

报告摘要：In this talk, we will briefly review the foundations of higher-dimensional Heegaard Floer homology (HDHF) and its applications. As a first example, we define a link invariant analogous to Khovanov homology by performing HDHF on Type A Milnor fibers.

报告题目2：Higher-dimensional Heegaard Floer homology and Hecke algebras

报告人：袁天宇，宁波东方理工大学

报告时间：2026年1月21日（周三）14:00

报告地点：20-306

报告摘要：We show some applications of HDHF in representation theory. Given a closed oriented surface of genus greater than 0, we construct a map from the HDHF group of the cotangent fibers to the surface Hecke algebra and show it's an isomorphism. We give an explicit local computation which may be the first A side example for homological mirror symmetry of symmetric products. (The talk is based on joint works with Ko Honda, Roman Krutovski, Eilon Reisin-Tzur, and Yin Tian)

报告人简介：袁天宇，宁波东方理工大学数学学院助理教授，曾任北京国际数学研究中心博士后，2021年于UCLA取得数学博士学位。研究方向为辛几何与数学物理，特别是对称积与轨形上的Floer理论与同调镜像对称。