9/4: organizational meeting
9/11: no meeting (no classes scheduled)
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9/18: Shuhao Li (Stony Brook University)
Title: Open-closed string topology and Lagrangian embeddings
Abstract: The Maslov class is a basic invariant of a Lagrangian submanifold. However, many fundamental questions concerning constraints on the Maslov classes of Lagrangian embeddings (known as Maslov class rigidity) remain open. For example, the existence/non-existence of a Maslov-zero Lagrangian embedding of a given closed manifold L into the standard symplectic vector space C^n is a well-known problem. I will speak about a new approach to these types of questions using a construction of a (curved) deformation of the dg algebra of chains on the based loop space, following ideas from open-closed string topology, and derive new results on the Maslov class rigidity question.
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9/25: Prof. Gueo Grantcharov (Florida International U.)
Title: On the SL(n,H) and strong HKT geometry
Abstract: Abstract: In the talk we'll review the basics of the theory of hypercomplex manifolds and the Hermitian geometry of two particular, but complementary cases - when the manifold has trivial canonical bundle (the SL(n,H) case) and when it admits a strong HKT metric. The second part is based on a joint work with B. Brienza, A. Fino, and M. Verbitsky.
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10/2: Prof. Yueqiao Wu (Johns Hopkins)
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10/9: Ryan McGowan (Rutgers)
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10/16:
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10/23:
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10/30: Prof. Sven Hirsch (Columbia University)
Title: TBA
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11/6:
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11/13: Prof. Tang-Kai Li (Columbia University)
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11/20: Prof. Sadok Kallel, Universite de Lille (France) and American University of Sharjah (UAE)
Title: TBA
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11/27: no meeting this week
12/4: Prof. Shengzhen Ning, University of Maryland
Title: TBA
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12/11: Prof. Jesse Madnick (Seton Hall University)
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