Dear all, The next Banach spaces webinar is on Friday November 27 at 9AM CDT (e.g., Dallas, TX time). Please join us at https://unt.zoom.us/j/512907580 Speaker: Antonis Manoussakis (Technical University of Crete) Title: A variant of the James tree space Abstract. We will discuss the first part of a work in progress, leading to the construction of an $\ell_{2}$-saturated $d_{2}-$H.I. space. The class of $d_{2}$-H.I. Banach spaces is defined in a recent work of W.Cuellar Carrera, N. de Rancourt and V. Ferenczi where also the problem of the existence of $\ell_{2}$-saturated $d_{2}$-H.I space was posed. In this talk we will present a classical analogue of this space, which is a reflexive space with an unconditional basis, based on the James tree construction. We will discuss its properties and its connection to the desired $d_{2}$-H.I space. Joint work with Spiros Argyros and Pavlos Motakis For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach Happy Thanksgiving! Bunyamin Sari