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Quotients in algebraic supergeometry

Implementing Organization

Principal Investigator
Dr. Sanjaykumar Hansraj Amrutiya
Assistant Professor, Indian Institute of Technology (IIT), Gandhinagar
CO-Principal Investigator
Dr. Indranath Sengupta
Indian Institute of Technology (IIT), Gandhinagar

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.
Funding Organization
Quick Information
Area of Research
Mathematical Sciences
Focus Area
Mathematics
Start Date
2024
Status
ongoing
Contact
samrutiya[at]iitgn[dot]ac[dot]in
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
Publications
00
No. of Patents
Filed : 00
Grant : 00
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