Speaker: **Michiya Mori** (Univ. Tokyo)

Title: The Mazur-Ulam property for unital C^{*}-algebras

Time/Date: 4:45-6:15pm, Wednesday, October 24, 2018.

Room: 126

Abstract: joint work with N. Ozawa.
Tingley's problem asks whether every surjective isometry between unit
spheres of two Banach spaces admits a real linear extension between
the whole spaces.
In this talk, I will report recent progress in this problem in the
setting of operator algebras.
In particular, I will explain how to show that Tingley's problem has
an affirmative answer when one of the Banach spaces is a unital
C^{*}-algebra.