To participate in the ongoing ones, please contact me directly.
Representation of compact groups. 09/2021-11/2021, Nanjing University.
An introduction to harmonic analysis, representation theory, and their relationships; representation theory of (locally) compact groups; representation theory of compact Lie groups.
Classical algebraic geometry. 10/2022-02/2023, Universität Bonn.
Theory of varieties and their combination with the scheme including affine and projective varieties, Zariski Topology, Segre Maps, Projection and cone, Grassmannians, Algebraic Group with examples, Tangent Space and Gauss map, Projective duality, Plane cubic curves, Lines on cubic surfaces, Rational maps, Blow-ups. Here is the Sylllabus of the seminar.
Lie algebra cohomology. 02/2022-04/2022, online.
Chevalley-Eilenberg cohomology of Lie algebras, including projective representations and central extensions, Lie algebra deformations, Chevalley-Eilenberg complex and cohomology, Virasoro algebra.
Tensor categories. Ongoing, online.
Tensor categories, representation categories of Hopf algebras, finite tensor categories, braided categories, fusion categories.
Vertex operator algebras. Ongoing, online.
Online 8:00 a.m. Saturday (Eastern Time).
Notes 1. Notes 2. Notes 3. Notes 4. Note 5. Note 6. Note 7. Note 8. Note 9.
References: FHL; Lepowsky-Li's Book; Kac's Book; Virasoro Algebra; Superstring Theory.
Lie Group/Quantum Mathematics Seminar. Spring 2008-now, Rutgers University.
Zoom link. Meeting ID: 939 2146 5287. Passcode: 196884, the dimension of the weight 2 homogeneous subspace of the moonshine module.
Recordings could be found on our Youtube Channel.
Theoretical Physics Seminars. Upcoming, Southeast University.
Zoom link. Meeting ID: 385 442 0225. Passcode: yauc. China Standard Time (UTC+8) is used. If you wish to give a talk, please write to any one of the organizers.
String Therory, Field Theory and Holographic Theory Summer School, Summer 2020 & Summer 2021, Southeast University.
Diffrential Geometry, summer 2022, BICMR.
Workshop on Vertex Algebra, Hopf Algebra and Related Topics. June 8 - 12, 2023, Shanghai Jiaotong University.
Workshop on Geometric Representation Theory and Applications. July 10-14, 2023, Tsinghua University.
No conference attended yet.