Here are some of my recorded lectures and some notes concerning my research.
2020. Fudan AG Seminar: On the cohomology of the moduli of Higgs bundles.
2020. AGNES: Hitchin systems, hyper-Kaehler geometry, and the P=W conjecture. (slides)
2021. AGEA: Intersection cohomology of the moduli of 1-dimensional sheaves and the moduli of Higgs bundles.
2021. Derived Seminar: Geometry of the Gopakumar-Vafa theory.
2021. VBAC webinar: Cohomology of the moduli of Higgs bundles. (slides) (Need a little more work to locate the talk link from the webpage.)
2021. IASM seminar: Cohomology of the moduli of Higgs bundles and the Hausel-Thaddeus conjecture.
2022. A lecture for Yale's perspective math graduate students.
2022. Lambda Seminar (Greater bay): Toplogy of Hitchin systems --old and new. Slides.
2023. Program "Hyperkahler quotients, singularities, and quivers", SCGP Stony Brook. Lecture series: Hodge theory of Lagrangian fibrations.
Lecture 1, Lecture 2, Lecture 3.
2023. 6-th Westlake Online Math Forum: Cohomology of the moduli of Higgs bundles I & II (in Chinese).
2023. Simons Conference "Higher Dimensional Geometry": Cohomology of certain moduli spaces of sheaves.
2023 Banff IASM, Hangzhou. A series of two talks on "Fourier transforms and perverse filtrations" by myself and Qizheng Yin:
2023. Colloquium at YMSC: Geometry of the P=W conjecture and beyond.
2023. HIM Bonn, "Birational" Workshop: Fourier transforms for compactified Jacobian fibrations.
2024. SLMath workshop on "Noncommutative Algebraic Geometry": On generalized Beauville decompositions.
2024. Isaac Newton Institute, Cambridge. Lecture Series: Fourier transform: from abelian schemes to Hitchin systems.