### Dana Bartosova: Generalization of Gowers' $c_0$ Theorem and its applications in topological dynamics

Data: sexta-feira, 09 de maio de 2014, às 14h

Sala: 243-A

Palestrante: Dana Bartosova, IME-USP

Título: Generalization of Gowers' $c_0$ Theorem and its applications in topological dynamics

Resumo: Gowers proved his famous result on stability of real valued Lipschitz functions on the unit sphere of $c_0$ in 1992. The core of the proof lies in a combinatorial result  of Ramsey type. Since then, many new proofs have appeared. We generalize the theorem and its variations. The original motivation comes from our study of the universal minimal flow of the group of homeomorphisms of a continuum known as a Lelek fan. We will explain the original Gowers' result and our generalizations, give main ideas of the proofs and show how this connects to the original problem. This is a joint work with Aleksandra Kwiatkowska.