4/10 Seminar

Official webpage for the fall 2024 seminar organized by myself, Amanda Hirschi, and Yuan Yao on Steenrod operations in quantum cohomology. Email us to be added to the mailing list and receive Zoom links, etc.

Currents Schedule (Paris timezone)

• 11 Sept, 15h, Zoom: Introduction to quantum cohomology by Amanda Hirschi.

• 25 Sept: Introduction to Steenrod operations by Colin Fourel.

• 2+3 Oct, 15h, Jussieu: Expository lectures by Nicholas Wilkins.

  • Wednesday, 2 Oct: 15h in room 15-16-413.

  • Thursday, 3 Oct: 15h in room 15-25-502.

• 4 Oct, IHP: Symplectix featuring research lecture by Wilkins.

• 16 Oct: To be determined.

References

Quantum cohomology:

• McDuff-Salamon, J-holomorphic curves and symplectic topology, Chapter 11

Classical construction of Steenrod operations:

• VanKoughnett, Introduction to the Steenrod algebra

• Malkiewich, The Steenrod algebra

• Pützstück, Steenrod squares

• Mosher-Tangora, Cohomology operations and applications in homotopy theory

Morse theory point of view of Steenrod operations:

• Cohen, Morse theory, graphs, and string topology

• Betz-Cohen, Graph moduli spaces and cohomology operations

Quantum Steenrod operations from Nick Wilkins' lecture series:

• Nick's survey paper

• Wilkins, reference on intersection of submanifolds and psuedocycles in Section 3.4 of this article

• Wilkins, connections to equivariant pairs of pants

• Seidel and Wilkins, calculations in Example 1.7 of this article

• Jae Hee Lee, introduction to quantum Steenrod in Section 2 of this article

• Quillen, reference on localization