On Wormholes in the Moduli Space of Surfaces

Explore a 55-minute lecture on wormholing phenomena in the Kollár--Shepherd-Barron--Alexeev (KSBA) compactification of the moduli space of surfaces of general type. Delve into the appearance of particular extremal P-resolutions in surfaces on the KBSA boundary, as presented by Giancarlo Urzúa from Pontificia Universidad Católica de Chile. Examine the general wormhole conjecture and its proven cases, while gaining insight into open questions in this field of algebraic geometry. Enhance your understanding of complex mathematical concepts related to moduli spaces and surface theory.