Correlation of Length Spectrums for Hitchin Representations

For zoom details contact Stephan Stadler (stadler@mpim...)

In this talk ,we present a correlation theorem of length spectrums for Hitchin representations. It is motivated by the study of correlations between hyperbolic structures by Richard Schwartz and Richard Sharp using thermodynamic formalism. We give some examples of different behaviours of correlation numbers of representations when considering special diverging sequences in Hitchin components.