Hello, The next Banach spaces webinar is on Friday March 19 at 9AM Central time. Please join us at https://unt.zoom.us/j/83807914306 Speaker: Paul Müller (JKU Linz) Title: Complex Convexity Estimates, Extensions to $R ^n$, and log-Sobolev Inequalities. Abstract. The talk is based on joint work with P.Ivanishvili (North Carolina State University), A. Lindenberger (JKU) and M. Schmuckenschlaeger (JKU). We extend complex uniform convexity estimates to $R^n$ and determine the corresponding best constants. Furthermore we provide the link to log-Sobolev inequalities on the unit-sphere of $R^n$ and discuss several open conjectures related to our work. 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