Orador Convidado: Levi Lopes de Lima (Full Professor/Universidade Federal do Ceará, Brasil)

Resumo: After presenting a brief overview of its diverse manifestations through the ages, we discuss the modern approach to the celebrated Gauss-Bonnet formula in Differential Geometry for compact manifolds (possibly with a non-empty boundary) based on ideas coming from Diffusion Theory (Brownian motion on manifolds). Our presentation, aimed at a varied audience, stresses the connection of this central topic in geometry with other areas of mathematics (notably, the spectral theory of Laplace-type operators and probability theory).

Zoom address: https://videoconf-colibri.zoom.us/j/98650312699