Abstract:

Jacobi matrices are infinite tridiagonal symmetric matrices, which naturally act on the Hilbert space of square summable sequences. They form an important class of operators as every self-adjoint operator is a direct sum of Jacobi matrices. In the talk I will review their appearance and applications in orthogonal polynomials theory, random walks, birth and death processes, and if time permits, in the classical moment problem.

About the speaker:

Grzegorz completed his Ph.D. in Mathematics at University of Wroclaw, Poland, in 2017. After graduating, Grzegorz worked for 1 year as a Research Assistant at University of Wroclaw, and after that for 1 year as an Assistant Professor in Polish Academy of Sciences. In 2019 he started a 3 years postdoctoral position in the research group of classical analysis at KU Leuven, Belgium. Currently, he works as an Assistant Professor in the Polish Academy of Sciences. 
His research is focused on the theory of orthogonal polynomials and its applications.