Theoretical Statistics and Mathematics Unit, ISI Delhi

August 19, 2014 (Tuesday) ,
3:30 PM at Webinar

Speaker:
Jayanta Manoharmayum,
University of Sheffield, UK

Title:
Universal deformation rings and the inverse deformation problem

Abstract of Talk

A good way of understanding groups is to look at its
representations into the group of invertible n by n invertible matrices. One can organise such representations into families by first fixing a representation into $GL_n$ of a finite field and then lifting it to `bigger'
rings. By a theorem of Mazur, under certain hypothesis the liftings fit into a nice universal family. I will discuss the inverse problem of realizing rings as the coefficient rings of such a universal family and results in this direction. This is a joint work with Tim Eardley.