`Algebraic Models of $(\infty,n)$-categories on the globular setting' Camell Kachour In this talk we define a sequence of monads T^{(\infty,n)} (n in N) on the category of globular sets. We conjecture that algebras for T^{(\infty,0)}, which are defined in a purely algebraic setting, are models of \infty-groupoids. A sequence of monads T^{(\infty,n)} on the category of globular sets is defined with the conjectural property that T^{(\infty,n)}-algebras are models for (\infty,n)-categories. Our models of \infty-groupoids might solved the "Grothendieck conjecture on homotopy types" (Probably in the future thesis of Rémy Tuyéras, Macquarie University)