Data: sexta-feira, 11 de dezembro de 2020, às 9h30.
Palestrante: Waleed Noor (IMECC-UNICAMP)
Título: Invariant subspaces of polydisk Hardy spaces.
Resumo: The shift-invariant subspaces of the classical Hardy space H2(D) over the unit disk D were characterized in a landmark result by Arne Beurling in 1949. The analogous problem for polydisk Hardy spaces H2(Dn) remains a major open problem in operator theory for n>1. In this presentation we shall see how this problem is intimately related to the Invariant Subspace Problem (ISP) for finite n>1 and to the Riemann Hypothesis (RH) when n=∞.
The results in this presentation are based on joint works with Juan Carlos, Marcos Ferreira, João R. Carmo, and Charles Ferreira dos Santos.