Asymptotic Behavior of Certain Families of Higgs bundles in Hitchin Components
Dynamics on Moduli Spaces April 13, 2015  April 17, 2015
Location: SLMath: Eisenbud Auditorium
Hitchin representation
Hitchin component
SL(nR)
Higgs bundle
asymptotic geometry
compactifications of moduli spaces
Hitchin fibration
14224
Hitchin component for $SL(n,R)$ is the component in the space of surface group representations into $SL(n,R)$ which can deform to Fuchsian locus. The Hitchin component is in correspondence with the moduli space of $SL(n,R)$Higgs bundles. I will introduce recent work with Brian Collier on asymptotic behaviors of families in Hitchin component in terms of certain families of Higgs bundles. Namely, given a family of Higgs bundles by scaling Higgs field by $t$, we analyze the asymptotic behavior of the corresponding representations as $t$ goes to $\infty$ in two special cases.
Li. Notes

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