My Email address is: Thomas1.Nikolaus@mathematik.uni-regensburg.de
My website is: http://www.mathematik.uni-regensburg.de/nikolaus/
Abstract: We establish a model category structure on algebraic Kan complexes. In fact, we introduce the notion of an algebraic fibrant object in a general model category (obeying certain technical conditions). Based on this construction we propose algebraic Kan complexes as an algebraic model for ∞-groupoids and algebraic quasi-categories as an algebraic model for (∞,1)-categories.