In spring 2024, Zeyu Shen is also organizing the Rutgers algebra and geometry learning seminar.

The topic is Gromov-Witten theory.

References:

1. Notes on stable maps and quantum cohomology by W. Fulton and R. Pandharipande
2. Localization in Gromov-Witten theory and Orbifold Gromov-Witten theory by Chiu-Chu Melissa Liu

The talks were:

1. Stable maps and their moduli spaces by Zengrui Han, January 30th.
2. Boundedness of moduli space for projective space by Zengrui Han, February 6th.
3. Construction of moduli space for projective space by gluing quotients by finite group action by Zengrui Han, February 13th.
4. Combinatorial description of the boundary of the moduli space for projective space by Zengrui Han, February 20th.
5. Kontsevich’s proof of the recursion formula for N_d, number of rational plane curves of degree d passing through 3d-1 points in general position by Zengrui Han, February 27th.
6. Definition of Gromov-Witten invariants and its basic properties by Zengrui Han, March 5th.
7. Equivariant cohomology and vector bundles with respect to action by a Lie group and Atiyah-Bott localization theorem by Zengrui Han, March 19th.
8. Gromov-Witten invariants for smooth toric varieties by Zengrui Han, March 26th.
9. Connected components of invariant points of stable maps under torus action for smooth toric varieties, by Zengrui Han, April 2nd.
10. Lev Borisov’s proof that the class of the affine line is a zero-divisor in the Grothendieck ring of the category of complex algebraic varieties, by Zengrui Han, April 9th.