Department of Materials Science & Engineering, Indian Institute of Technology (IIT), Gandhinagar, Gujarat
CO-Principal Investigator
Dr. Indranath Sengupta
Department of Materials Science & Engineering, Indian Institute of Technology (IIT), Gandhinagar, Gujarat
Project Overview
This project investigates the problem of taking quotients in algebraic supergeometry using Geometric Invariant Theory (GIT). The project aims to explore the quotient problem when an affine super-group scheme acts on an affine super-scheme, and apply it to the moduli problem of super-representations of quivers. The goal is to find an appropriate notion of algebraic semistability for super-representations. The findings can be applied to other problems, such as super vector bundles or sheaves.