We will discuss the Poisson geometry of the moduli space of (non-strongly) parabolic Higgs bundles o

This is joint with Megumi Harada of McMaster University. I will discuss our recent progress on the q

Mikhail Gromov introduced hyperbolic groups in 1987 through geometric properties of Cayley graphs, v

Stochastic topology aims at studying "expected" topological properties of random or partially kn

We review briefly the method of and some important results in geometric quantization, and go on to d

The Gauss map for surfaces M in 3-space is a map from M into a sphere; I will present the analogue f

Classical Hodge theory uses harmonic forms as preferred representatives of cohomology classes. A rep

A Higgs bundle on a Riemann surface is a pair consisting of a holomorphic bundle and a holomorphic o

In the final lecture, we give some applications of Higgs bundle theory to the study of the geometry

Mostramos a existência de separatrizes para folheações de codimensão 1 geradas por dois campos d