Tue, May 24, 2022
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5:00pm [5:30pm] Krishnendu Gangopadhyay: IISER Mohali
Description:
Speaker: Krishnendu Gangopadhyay. Affiliation: IISER Mohali. Date: Tuesday, 24 May 2022 at 5.30 pm. Venue: Ramanujan Hall. Title: Reversibility and adjoint orbits in special linear groups. Abstract: The intuitive notion of reversible elements in classical geometries can be expressed in the language of group theory as elements conjugate to their own inverses. It is closely related to those elements in a group which are products of two order two elements, i.e. `bireflectional'. For a Lie group, we introduced an infinitesimal notion of these notions using the adjoint representation of a Lie group. In this talk after giving an overview of these notions, we shall discuss the classification of the infinitesimal reversibility in special linear groups. This is based on joint work with Tejbir Lohan and Chandan Maity.

6:00pm