Mathematical Sciences

Title :

Quotients in algebraic supergeometry

Area of research :

Mathematical Sciences

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Principal Investigator :

Dr. Sanjaykumar Hansraj Amrutiya, Assistant Professor, Indian Institute of Technology (IIT), Gandhinagar

Timeline Start Year :


Contact info :


Executive Summary :

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.


Dr. Indranath Sengupta, Indian Institute of Technology (IIT), Gandhinagar

Total Budget (INR):


Organizations involved