Geometry and Rational Homotopy Theory: A Tale of Two

28 noviembre 2018: Seminario de Análisis, 18:00-19:00

Conferenciante: Giovanni Bazzoni, Universidad Complutense de Madrid

Título: Geometry and Rational Homotopy Theory: A Tale of Two

Resumen: This talk would like to be a celebration of the fruitful interplay between Geometry and Rational Homotopy Theory. In order to show how these two areas can work together, I will consider two concrete situations: (a) the existence of a geometric structure on a compact manifold can be helpful in addressing problems coming from rational homotopy theory, such as the toral rank conjecture; (b) rational homotopy theory helps to identify compact manifolds which admit a specific geometric structure, for instance Kähler, Sasakian or Vaisman. This is particularly transparent in the case of nilmanifolds.