Fall 2021 reading group:

Lagrangian fillings

The reading group meets each Friday morning from 10:30 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.

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Schedule:

• 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

  
  
• 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

  
  
• 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

  
  
• Siddhi Krishna Existence of Lagrangian fillings of links

  October 29 and November 5.
  References:
  https://arxiv.org/abs/1508.05615
  https://arxiv.org/abs/1307.7683

  
  
• Yin Li Distinguishing fillings of torus links

  November 12 and November 19.
  References:
  https://arxiv.org/abs/1607.03167
  https://arxiv.org/abs/2001.01334

  
  
• Marco Castronovo Diagrammatics of weaves

  November 26 (possible conflict with University Holiday).
  Reference:
  https://arxiv.org/abs/2007.04943

  
  
• Lea Kenigsberg Augmentations and rulings of links

  December 3.
  Reference:
  https://arxiv.org/abs/math/0409032

  
  
• 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

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