CoAlGeS is a weekly seminar on complex algebraic geometry (but not limited to) organized by myself, taking place at the IASM of HIT with both formats : in person and online depending on the availability of the speaker. It is funded by the research grant.
Seminar room : Gewu Building, Room 315.
Time: Thursday, May 7, 2026, 10:00-11:00
Title: Overview of Pluripotential Theory
Speaker: Quang-Tuan DANG（Tsinghua University）
Abstract: I present a brief historical overview of potential theory, from its origins in electrostatics and the Poisson equation to its modern developments. We discuss Gauss’s foundational problems and the Dirichlet principle, as well as the analytical difficulties that led to new methods. In particular, the introduction of subharmonic functions and the Perron method provides a robust approach to solving boundary value problems. Finally, we explain how these ideas extend to several complex variables via plurisubharmonic functions, forming the basis of pluripotential theory in complex geometry.
Time: Monday, April 20, 2026, 14:30-15:30
Title: Cohomology theories for operads and their associated algebras
Speaker: Truong Hoang（Hanoi FPT University, Vietnam）
Zoom ID：917 2931 1426 (Password: 0420)
Link: https://zoom.us/j/91729311426?pwd=n3JMXWoXlhA3PbMDLSFOKZ9R8ijg2C.1
Abstract: Hochschild and Quillen cohomology are among the most powerful tools for studying invariants of algebraic and homotopical structures. Our recent work focuses on formulating these cohomology theories for operads and algebras over them, as well as on the relation between Quillen cohomology and deformation theory. In this talk, we will present some of the main results in this direction. We will also outline directions for future research, including obstruction theory for operads and classifying spaces of $E_n$-algebras.