University of Connecticut

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PDE and Differential Geometry Seminar
A Twist for the Symplectic Algebra of Differential Forms
Li-Sheng Tseng (UC Irvine)

Monday, November 11, 2019
2:30pm – 3:30pm

Storrs Campus
MONT 214

On symplectic manifolds, there is a novel A-infinity algebra of differential forms constructed by Tsai-Tseng-Yau. We will review this and introduce a twist to this algebra, motivated by consideration of fiber bundles over symplectic manifolds and sections on them. Interestingly, the twist leads to a natural flatness condition for such bundles. The flatness condition is in general a non-linear PDE system dependent on the symplectic structure, and we will describe a few well-known solutions of this system. This talk is based on a joint work with Jiawei Zhou.

Contact:

lihan.wang@uconn.edu

PDE and Differential Geometry Seminar (primary), UConn Master Calendar

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