Hello, The next Banach spaces webinar is on Friday October 15 9AM Central time. Please join us at https://unt.zoom.us/j/83807914306 Title: Separable spaces of continuous functions as Calkin algebras Speaker: Pavlos Motakis, York University Abstract. The Calkin algebra $\mathcal{C}al(X)$ of a Banach space $X$ is the quotient algebra of all bounded linear operators $\mathcal{L}(X)$ on $X$ over the ideal of all compact ones $\mathcal{K}(X)$. A question that has gathered attention in recent years is what unital Banach algebras admit representations as Calkin algebras. There is a strong connection between quotients algebras of $\mathcal{L}(X)$ and the tight control of the operators on $X$ modulo a small ideal. We discuss a new contribution to this topic, namely that for every compact metric space $K$ there exists a Banach space $X$ so that $\mathcal{C}al(X)$ coincides isometrically with $C(K)$ as a Banach algebra. For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach Thank you, and best regards, Bunyamin Sari