• Wenmin Gong, Weiwei Wu, Shuo Zhang, Marcelo Sarkis Atallah
• References: A Construction of the Quantum Steenrod Squares and Their Algebraic Relations, Quantum Steenrod Squares and the Equivariant Pair-of-Pants in Symplectic Cohomology by Nicholas Wilkins
  Pseudo-rotations and Steenrod squares, Pseudo-rotations and Steenrod squares revisited by Egor Shelukhin
  https://arxiv.org/abs/1411.2639, https://arxiv.org/abs/1905.03666.
  Much more advanced: https://arxiv.org/abs/1910.08990
• Slides: Weiwei's Slides (Lecture 1/2), Shuo's Slides (Lecture 2/2)
  
• Videos: Weiwei's Lecture (Lecture 1/2), Shuo's Lecture (Lecture 2/2)
  

• Jean Gutt, Thomas Melistas, Jun Zhang
• References:
  
  • Global surfaces of section for Reeb flows in dimension three and beyond by Umberto Hryniewicz and Pedro Salomão
    
  • Sharp systolic inequalities for Reeb flows on the three-sphere by Alberto Abbondandolo, Barney Bramham, Umberto Hryniewicz, Pedro Salomão
    
  • Systolic ratio, index of closed orbits and convexity for tight contact forms on the three-sphere by Alberto Abbondandolo, Barney Bramham, Umberto Hryniewicz, Pedro Salomão
    
• Other references:
  
  • A Reeb flow on the three-spherewWithout a disk-like global surface of section by Otto van Koert
  • Pseudorotations of the 2-disc and Reeb flows on the 3-sphere by Peter Albers, Hansjörg Geiges and Kai Zehmisch
  • Proof of the simplicity conjecture by Daniel Cristofaro-Gardiner, Vincent Humilière and Sobhan Seyfaddini
  • The Restricted Three-Body Problem and Holomorphic Curves by Urs Frauenfelder and Otto van Koert
• Slides: Jun's Slides (Lecture 1/2+2/2), Thomas's Slides (Lecture 1/2), Jean's Slides (Lecture 2/2)
• Videos: Jun/Thomas's Lecture (Lecture 1/2), Jun/Jean's Lecture (Lecture 2/2)
  

• Cheuk Yu Mak, Mailhot Pierre-Alexandre, Shira Tanny (Guide: Jean Gutt)
• References:
  • Symplectic capacities from positive S1-equivariant symplectic homology
  • HIGHER SYMPLECTIC CAPACITIES
• Slides: Shira's Slides (Lecture 1/2), Cheuk-Yu's Slides (Lecture 2/2)
  Videos: Shira's Lecture (Lecture 1/2), Cheuk-Yu's Lecture (Lecture 2/2)

• Francois Charette, Jun Li, Jie Min
• References:
  
  • Ref1: Auroux, Mirror symmetry and T-duality in the complement of an anticanonical divisor (mostly Section 5), https://arxiv.org/abs/0706.3207v2
  • Ref2: Auroux, Special Lagrangian fibrations, wall-crossing, and mirror symmetry (mostly Section 3, perhaps section 4), https://arxiv.org/abs/0902.1595v1
  • Slides: Francois's Slides (Lecture 1/2), Jie's Slides (both lectures) Jun's Slides (Lecture 2/2)
    Videos: Francois/Jie's Lecture (Lecture 1/2), Jie/Jun's Lecture (Lecture 2/2)>

• Xin Jin, Jun Zhang
• References:
  
  • Homotopical Topology by Anatoly Fomenko and Dmitry Fuchs (Chapter 6)
  • Integral cohomology and mirror symmetry for Calabi-Yau 3-folds by Victor Batyrev and Maximilian Kreuzer
  • Cone-decompositions of Lagrangian cobordisms in Lefschetz fibrations by Paul Biran and Octav Cornea
  • Fukaya Categories and Picard-Lefschetz Theory by Paul Seidel (Section 3)
  • Slides: Jun's Slides (Lecture 1/2), Xin's Slides
    Videos: Jun's Lecture (Lecture 1/2), Xin's Lecture (Lecture 2/2)>
• Other references:
  
  • Cyclic Homology by Jean-Louis Loday (Chapter 1)
  • The K-theory of triangulated categories by Amnon Neeman
  • Note – section 28 K-group in Stacks Project – Derived Categories
  • Fukaya categories and deformations by Paul Seidel

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