Amanda Hirschi (Paris) will give the geometry seminar at 2pm on 12/04/2024, in the Salle des Profs (9th floor of building NO). Amanda’s title is “Global Kuranishi charts for moduli spaces of stable pseudoholomorphic maps” and her abstract is below.

*In 2021, Abouzaid, McLean and Smith achieved a breakthrough by constructing a global Kuranishi chart for moduli spaces of stable pseudoholomorphic maps in genus zero. In this talk, I will describe a generalisation of their construction for moduli spaces of stable maps of arbitrary genus and how this allows for a straightforward definition of Gromov-Witten invariants. Subsequently, I will prove a formula for the Gromov-Witten invariants of a product manifold in terms of the invariants of its factors and outline how a similar argument can be used to show that the Kontsevich-Manin axioms are satisfied. This is partially joint work with Mohan Swaminathan.*