Fall 2021 reading group:
Lagrangian fillings
The reading group meets each Friday morning from 10:15 AM to 11:30 AM in Room 520 of the Columbia University Mathematics Department. The goal is to discuss some recent progress on the understanding of Lagrangian fillings of Legendrians, with a particular focus on low-dimensional examples.
Schedule:
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Yash Deshmukh General background on Symplectic Field Theory
September 17 and September 24.
References:
https://arxiv.org/abs/math/0010059
https://arxiv.org/abs/math/0308183
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Juan Muñoz Echániz Legendrian Contact Homology and Morse flow trees
October 1 and October 8.
References:
https://arxiv.org/abs/math/0210124
https://arxiv.org/abs/math/0509386
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Johan Asplund Functoriality of Legendrian Contact Homology
October 15 and October 22.
References:
https://arxiv.org/abs/1212.1519
https://arxiv.org/abs/1905.08730
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Siddhi Krishna, Sebastian Haney Existence of Lagrangian fillings of links
October 29 and November 5.
References:
https://arxiv.org/abs/1508.05615
https://arxiv.org/abs/1307.7683
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Yin Li Distinguishing fillings of torus links
November 12 and November 23 (it's a Tuesday!).
References:
https://arxiv.org/abs/1607.03167
https://arxiv.org/abs/2001.01334
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Marco Castronovo Diagrammatics of weaves
November 30 (it's a Tuesday!) and December 3.
Reference:
https://arxiv.org/abs/2007.04943
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Alex Pieloch Distinguishing fillings of algebraic links
December 10 and December 17.
References:
https://arxiv.org/abs/2009.06737
https://arxiv.org/abs/2101.01943