Title: Stone duality between condensed mathematics and algebraic geometry Abstract: One classical incarnation of Stone duality is an anti-equivalence between the categories of profinite sets and Boolean algebras respectively. In this talk, we will discuss how this can be extended to a fully faithful embedding of condensed sets into fpqc sheaves over any base field. […]
Title: Integer Decomposition Property of lattice polytopes Abstract: Given a polytope (higher dimensional polygon) P and a non-negative integer k, we can multiply every point of P by k to obtain another polytope kP. One of the properties P can have is the integer decomposition property: if x is a point in kP, then there […]