Spring 2018 Learning Seminar

Image from Lewis Carroll's *Through the Looking-Glass*, which captures some of the strangeness of mirror
symmetry.

This is the webpage for a learning seminar on Gromov-Witten theory and related topics, including the moduli space of stable maps, the virtual fundamental class, and quantum cohomology. The seminar is organized by Arun Debray and Jonathan Lai.

**Logistics:** we'll meet **Mondays** at **11:00 AM** in room **RLM 11.176**. In the seminar, we
hope to spend some time on the construction of the moduli space of stable maps (about 3 lectures), the virtual
fundamental class (about 3 lectures), a brief intoduction to mirror symmetry and Gromov-Witten theory for
symplectic manifolds (2-3 lectures), quantum cohomology and applications to enumerative geometry (4 lectures), and
possibly some connections to physics (1 lecture).

**Lecture notes** for this seminar can be found here.

**Schedule:**

January 22, 2018: organizational meeting

January 29, 2018 (Jonathan): Stable maps and quantum cohomology [FP96]

February 5, 2018 (TBD): Moduli space of stable maps?

February 12, 2018 (Yixian): Moduli space of stable maps?

February 19, 2018 (Sebastian): The virtual fundamental class?

February 26, 2018 (TBD): The virtual fundamental class?

March 5, 2018 (TBD): The virtual fundamental class and derived algebraic geometry?

March 12, 2018: spring break, no talk

March 19, 2018 (Arun): TBD

March 26, 2018 (TBD): TBD

April 2, 2018 (TBD): TBD

April 9, 2018 (TBD): TBD

April 16, 2018 (TBD): TBD

April 23, 2018 (TBD): TBD

April 30, 2018 (TBD): TBD

**Some references:**

[FP96] W. Fulton and R. Pandharipande, “Notes on stable maps and quantum cohomology.”

**Related links:** more references are posted in the Slack channel.

If you'd like to be on the email list, please send me an email.