Tuesday, February 7, 2023
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All day |
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4:00pm |
02/07/2023 - 4:15pm The SL_n(R)-Hitchin component of a closed surface is a special component in the character variety consisting of homomorphisms from the fundamental group of the surface to the Lie group SL_n(R). It carries a symplectic structure, defined by the Atiyah-Bott-Goldman form. I will provide an explicit computation of this symplectic form in terms of the generalized Fock-Goncharov coordinates of the Hitchin component (associated to a geodesic lamination on the surface). Location:
LOM 206
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