[Author] Oleg Reinov [Title] On nuclearity of operators with $s$-nuclear adjoints [AMS Subj-class] 46B28 Spaces of operators; tensor products; approximation properties [Abstract] This is an invited talk at the International Congress of Mathematicians - COEX in Seoul, Korea, from August 13 through August 21, 2014. Also, this is a preprint of a forthcoming paper in Studia Mathematika, with more general results. [Comments] LaTeX, English, 20 pp. [Contact e-mail] orein51@mail.ru