Title: Algebraic cobordism and algebraic K theory
Abstract: In the 70’s, Snaith defined algebraic cobordism theory by using Quillen’s algebraic K theory space. Later in 08, Gepner and Snaith considered algebraic cobordism as a motivic spectrum and showed the motivic Conner-Floyd theorem in their paper. However, just like algebraic K theory is not A^1-invariant, there should be a non A^1-invariant version of algebraic cobordism. The relation between this non A^1-invariant version and the usual A^1-invariant version of algebraic cobordism should be analogous to the relation between algebraic (Thomason-Trobough) K theory and Weibel’s homotopy K theory.
In this talk, we will start by introducing the non A^1-invariant version of algebraic cobordism based on the non A^1-invariant theory developed by Toni Annala, Marc Hoyois and Ryomei Iwasa. Then we will see how Algebraic Conner-Floyd isomorphism work in this context.
