Moduli of relative stable maps to $\mathbf{P}^1$: cut-and-paste invariants

Abstract: I will give an introduction to the moduli space of genus zero rubber stable maps to $\mathbf{P}^1$, relative to 0 and infinity, with fixed ramification profiles. Then I will discuss two recent results on the topology of these moduli spaces. The first concerns a chamber structure for the classes of these moduli spaces in the Grothendieck ring of varieties. The second gives a recursive algorithm for the calculation of the Euler characteristic, in the case where the maps are fully ramified over zero, and unramified over infinity. If time permits, I will also discuss some potential future directions.

algebraic geometry

Audience: researchers in the topic

( slides | video )

Comments: The synchronous discussion for Siddarth Kannan’s talk is taking place not in zoom-chat, but at tinyurl.com/2022-04-01-sk (and will be deleted after ~3-7 days).

---

Stanford algebraic geometry seminar

Series comments: This seminar requires both advance registration, and a password. Register at stanford.zoom.us/meeting/register/tJEvcOuprz8vHtbL2_TTgZzr-_UhGvnr1EGv Password: 362880

If you have registered once, you are always registered for the seminar, and can join any future talk using the link you receive by email. If you lose the link, feel free to reregister. This might work too: stanford.zoom.us/j/95272114542

More seminar information (including slides and videos, when available): agstanford.com

---