Moduli of relative stable maps to $\mathbf{P}^1$: cut-and-paste invariants
Siddarth Kannan (Brown University)
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
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: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com
Organizer: | Ravi Vakil* |
*contact for this listing |