The KSBA Moduli Space of Stable Log Calabi-Yau Surfaces

Explore the KSBA moduli space of stable log Calabi-Yau surfaces in this 56-minute M-Seminar talk from Kansas State University. Delve into the natural generalization of "the moduli space of stable curves" to higher dimensions, introduced by Kollár--Shepherd-Barron and Alexeev. Learn about stable pairs (X,B) and their parametrization, where X is a projective algebraic variety and B is a divisor such that K_X+B is ample. Discover concrete descriptions of this moduli space in specific situations, including toric varieties. Examine the conjecture by Hacking--Keel--Yu regarding log Calabi-Yau varieties and their KSBA moduli spaces. Gain insights into the proof of this conjecture for all log Calabi-Yau surfaces, presented by Hulya Arguz from the University of Georgia. Understand the application of tools from the minimal model program, log smooth deformation theory, and mirror symmetry in this groundbreaking research.