Hall 123

Reversibility of Linear and Affine Transformations

Tejbir Lohan

IISER Mohali

Reversible or real elements in a group are those elements that are
conjugate to their own inverses. They are closely related to strongly
reversible or strongly real elements, which can be expressed as a product of two involutions. The classification of reversible and strongly
reversible elements in a group has been a problem of broad interest.
In this talk, we will investigate the reversibility problem in the context
of certain linear and affine groups. This talk is based on joint work
with Krishnendu Gongopadhyay and Chandan Maity.