Speaker:  Po Hu, WSU

Title: Self-conjugate and double-real cobordism

Abstract: The self-conjugate cobordism spectrum, MSC, is the cobordism of manifolds whose stable normal bundles are complex with anti-linear automorphisms. Its coefficient groups have been an open question since the 1960s. In this talk, I will describe a new complete algebraic computation of the coefficients of MSC, by describing a collapsing "rectified" Adams-Novikov spectral sequence that converges to it. To this end, we also consider a similar spectral sequence for the double-real cobordism spectrum MO[2], as well as make use of techniques of structured homotopy theory, formal group laws and the motivic loop of Gheorghe, Isaksen, Wang and Xu. (Joint with I. Kriz, B. Riley and P. Somberg)