The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) at the Bulgarian Academy of Sciences presents ICMS Colloquium June 28, 2022, 2:00 pm (EEST, Sofia time) IMI-BAS, Hall 403 Ludmila Kamenova Stony Brook University Finiteness results for hyperkaehler manifolds In this talk we are going to show that there are finitely many deformation types of hyperkaehler manifolds with fixed topological invariants such as the Fujiki constant and the discriminant of the BBF form. For hyperkaehler manifolds that admit a fibration structure it is enough to fix the degree of the polarization on the general fiber in order to obtain a finiteness result.
The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) at the Bulgarian Academy of Sciences presents ICMS Colloquium May 17, 2022, 2:00 pm (EEST, UTC+3), IMI-BAS, Hall 403 Vladimir D. Tonchev, Michigan Technological University Coding Theory, Combinatorial Designs, and Finite Geometry Abstract. Error-correcting codes are used to protect data from random errors in satellite and wireless communication systems, audio and video recording devices, and data storage devices. A large class of codes with a wide range of applications are based on finite geometry. The most notable example of such codes are the Reed-Muller codes that are being used in deep space and mobile communications. The subject of this talk is a class of codes based on combinatorial designs. These combinatorial codes possess remarkable error-correction [...]