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NCTS Seminar on Geometry-Physics-Symmetry
 
11:00 - 12:00, September 13, 2018 (Thursday)
R201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
Formal Exponential Maps
Hsuan-Yi Liao (National Tsing Hua University)

Abstract:

Exponential maps, which are defined by geodesics, arise naturally in Differential Geometry. They are defined in an analytical way, but the infinity jets of geodesic exponential maps can be described by iterative algebraic formulas. Inspired by these formulas, we define and study formal exponential maps for Z-graded manifolds. As an application, we obtain a new construction of Dolgushev-Fedosov resolutions in deformation quantization.



 

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