Speaker: Romie Banerjee

Title: Real Johnson-Wilson Theories

Abstract: Hu and Kriz constructed the Real-Oriented Johnson-Wilson theories $E\mathbb{R}(n)$. These are $mathbb{Z}/2$-equivariant spectra with a Real orientation. Atiyah's K-theory with reality KR, and Araki and Landweber's real cobordism are examples of such spectra. Kitchloo and Wilson takes the homotopy fixed points of this $\mathbb{z}/2$ spectrum to define the Real Johnson Wilson theories ER(n). These are 2^{n+2}(2^n-1) -periodic compared to the 2(2^n-1)-periodic E(n). ER(1) is just KO_{(2)} and E(1) is just KU_{(2)}.