May 23, 2022 - May 27, 2022
Public Access Category: All |
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- Time:
- 5:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- 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.