3:30 pm Tuesday, September 16, 2014
Junior Geometry Seminar: Mirror symmetry and branes in the Hitchin moduli space by
Laura Fredrickson (UT Austin) in RLM 10.176
Roughly, mirror symmetry pairs a symplectic manifold with a complex manifold . In the pairing, data on the symplectic manifold is paired with data on the complex manifold. In particular, there is a pairing between “A-branes” on the symplectic manifold and “B-branes” on the complex manifold. In this talk I will briefly introduce and discuss mirror symmetry and branes, and gives examples of the pairing. One particularly interesting class of examples in this pairing is the Hitchin moduli since it has a lot of nice structure as a complex integrable system and non-compact hyperkahler manifold. I’ll describe some of the branes in the Hitchin moduli space and their mirrors, and briefly comment, if time permits, on the relationship with T-duality, S-duality, and the geometric Langlands correspondence. This talk is loosely based on Witten’s paper [arXiv:0802.0999]. Despite the topic, this should be an introductory level talk. Submitted by
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