Online seminar TOMORROW, Tuesday at 10:00, U. Haifa Topology & Geometry seminar on March 31, 2020 (with recording avialable)
We are going to have an online seminar tomorrow. We will be using through the U. Haifa moodle. If you would like to join tomorrows seminar, please send an e-mail to David Blanc <firstname.lastname@example.org>; he will send you an invitation.
See the announcement below.
Geometry & Topology Seminar
Speaker: Antonius Hase (Technion)
Topic: Integrability of quaternion-Kähler symmetric spaces
Place: This is an online seminar. We use University of Haifa moodle , please e-mail David Blanc <email@example.com> if you would like to join.
Date: Tuesday, March 31, 2020
It is a famous result of Harish-Chandra that every non-compact Hermitian symmetricspace can be realized as a bounded domain in a complex vector spaces. If we replace thecomplex numbers C by the division algebra of quaternions H in the definition of Hermitiansymmetric spaces, we obtain the class of quaternion-Kähler symmetric spaces. While thesespaces emerge in an analogous way, we show that there is no quaternionic analogue ofHarish-Chandra’s embedding theorem: A quaternion-Kähler symmetric space is integrableif and only if it is of rank 1. In the talk I will explain some of the background and some ofthe tools used in the proof.