Event

Talk
Higgs bundles and vanishing theorems
12 May 2009, 16:00 – 17:00

Given a family of smooth algebraic varieties the associated variation of cohomological invariants gives rise to a Higgs bundle. It turns out that this gadget is related to many geometric and arithmetic invariants of the underlying varieties. We introduce Higgs bundles in this setup and give applications to Arakelov inequalities, i.e., detection of totally geodesic subvarieties of locally symmetric varieties, and computations of L2-cohomologies over locally symmetric varieties. This is joint work with Viehweg and Zuo.

Related to:

• Summer Term 2009