Talk page

Title:
Examples of higher Teichmller components via G-Higgs bundles

Speaker:
Peter Gothen

Abstract:
Some connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others, such as the Hitchin component in the moduli space of Higgs bundles, are more alluring and unusual either because they are not detected by primary invariants, or because they have special geometric significance, or both. In this talk we focus on the case when G is either SO(p,q) or some specific real forms of exceptional groups, and describe new examples of such ”exotic” components in moduli spaces of G-Higgs bundles or, equivalently, moduli spaces of surface group representations into the Lie group G.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=4131

Workshop:
Simons- Workshop: Graduate Summer School on the Mathematics and Physics of Hitchin Systems