Jeroen Monnee - Complexity of the Flux Landscape

The landscape of F-theory flux compactifications is expected to be remarkably constrained due to deep insights in Hodge theory and tame geometry. In this talk, I will first review known finiteness theorems for the landscape of self-dual flux vacua and provide additional insights on this matter using asymptotic Hodge theory. In the remainder of the talk, I will present and motivate three new mathematical conjectures on the enumeration, dimensionality, and geometric complexity of the flux landscape, including a reformulation of the tadpole conjecture. Based on Arxiv:2311.09295.