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Asymptotic Behavior of Certain Families of Higgs bundles in Hitchin Components

Dynamics on Moduli Spaces April 13, 2015 - April 17, 2015

April 16, 2015 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Qiongling Li (Chern Institute of Mathematics)
Location: MSRI: Simons Auditorium



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.

23397?type=thumb Li. Notes 621 KB application/pdf Download
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