Title: Hurewicz Images of Real Johnson-Wilson Theories and a recomputation of $ER(2)^*RP^\infty$
Speaker: Guchuan Li (Northwestern University)
Abstract: We show that the Hopf elements, the Kervaire classes, and the $\bar{\kappa}$ family in the stable homotopy groups of spheres are detected by the $C_2$-fixed points of the Real Brown-Peterson spectrum under the Hurewicz map. A subset of these families is detected by the $C_2$-fixed points of the Real Johnson-Wilson theories, depending on the height. As an application, we use the knowledge of the Hurewicz images and attaching maps in $RP^\infty$ to give a recomputation of $ER(2)_*RP^\infty$, which is computed by Kitchloo and Wilson in their work of non immersions of $RP^n$. This is a joint work with Xiaolin Danny Shi, Guozhen Wang and Zhouli Xu.
Seminar URL: https://people.math.osu.edu/valenzuelavasquez.2/hts/
