We will discuss the rigidity of $\ell_\infty$ and $\ell_\infty^n$ with respect to uniformly differentiable mappings. Our main result is a non-linear analogy of the result on rigidity of $\ell_\infty$ with respect to non-weakly compact linear operators by Rosenthal, and it generalises the theorem on non-complementability of $c_0$ in $\ell_\infty$ due to Phillips."

Eva is a new postdoctoral fellow at IM PAN who came to work with prof. P. Wojtaszczyk. She did her Ph.D. in 2014 under the guidance of Petr Hajek at the Czech Academy of Sciences and was working last year with G. Lancien as a postdoc at Besançon.