# Mathematics Colloquia and Seminars

Higgs bundles are natural geometric objects that have been studied from many different directions. One of the key tools is the Hitchin fibration, which is the geometric version of a fundamental idea from linear algebra: the data (Higgs bundle) is split into spectral data ('eigenvalues') and spacial data (eigenspaces'). A further development of this idea is the theory of cameral covers due to R.Donagi and D.Gaitsgory.