Real semi-simple Lie algebras are determined by their Iwasawa subalgebras.

Abstract: Real semi-simple Lie algebras arise naturally both algebraically, in the study of Lie theory, and geometrically, in the study of symmetric spaces. After recalling why these algebras are of interest, we will investigate their uniqueness properties through the lens of special subalgebras, the so-called Iwasawa subalgebras. While the results are algebraic, the tools to obtain them come from the Riemannian geometry of solvmanifolds. We will finish the talk with a quick discussion of the complex setting and how it differs from the real setting. This is joint work with Jon Epstein (McDaniel College).

differential geometry

Audience: researchers in the discipline

Geometry Webinar AmSur /AmSul

Series comments: The Geometry Webinar AmSur/AmSul is promoted by differential geometry groups from Universities in Argentina and Brazil. The webinar happens weekly on Fridays at 14h00 (GMT-3) via Google Meet. Talks will be in Spanish, Portuguese or English. This virtual seminar aims to establish the contact with several research groups and mathematicians from Latin America. Everybody is invited to participate writing to the contact e-mail: geodif@unicamp.br

For each talk, the Google Meet link will be sent.