Compactification of Moduli Spaces of Quantum Toric Stacks

Explore the concept of quantum toric stacks and their moduli spaces in this 49-minute lecture by Antoine Boivin from Université d'Angers. Delve into the world of toric varieties, understanding their description through combinatorial data of fans and strongly convex rational cones. Examine the limitations of traditional toric varieties due to their rigidity and discover how stacky generalizations offer a solution by considering finitely generated subgroups of R^d instead of lattices. Learn about the moduli spaces of quantum toric stacks and the methods used for their compactification, gaining insights into this advanced topic in algebraic geometry and mathematical physics.