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Explore contact non-squeezing phenomena across different closed pre-quantization frameworks in this 75-minute seminar lecture from the Joint IAS/PU Symplectic Geometry Seminar series. Delve into advanced concepts in symplectic geometry as Pierre-Alexandre Arlove from the University of Strasbourg examines the mathematical principles governing contact non-squeezing behavior within various closed pre-quantization contexts. Gain insights into the geometric constraints and topological properties that characterize these mathematical structures, building understanding of how non-squeezing theorems apply to contact manifolds equipped with different pre-quantization schemes. Suitable for graduate students and researchers in symplectic geometry, differential geometry, and mathematical physics seeking to deepen their knowledge of contact geometry and quantization theory.
Syllabus
pm|Simonyi 101 and Remote Access
Taught by
Institute for Advanced Study