Speaker: Maia Averett (Mills College)

Title: Completion of real Johnson-Wilson theory gives fixed points of Morava E-theory.

Abstract: This talk will summarize some recent work on a new family of cohomolology theories made accessible by Kitchloo and Wilson, the so-called real Johnson-Wilson theories $ER(n)$. We will relate the theories $ER(n)$ to homotopy fixed points of the Morava $E$-theories $E_n$ under an action of a certain subgroup of the Morava stabilizer group. In doing so, we obtain a calculation of the coe?fficients of the homotopy fixed points of $E_n$ for this subgroup and also see that after completion the $ER(n)$ are commutative $S$-algebras.