چكيده فارسي :
Recently, motivated by potential applications in algebraic geometry, string theory, mirror symmetry,
and quantum cohomology, linear groups containing elements of bounded deviation have
been studied intensively. Also in order to generalize Taylor-Wiles method for proving the automorphy
of Galois representations, adequate subgroups are defined, which are of great interest in
proving Serre’s modularity conjecture of higher dimension. I will talk about some new progress
on related problems including Huppert’s conjecture.
