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Quotients in algebraic supergeometry

Implementing Organization

Indian Institute of Technology (IIT)
Principal Investigator
Dr. Sanjaykumar Hansraj Amrutiya
Assistant Professor
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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.
Funding Organization
Funding Organization
Department of Science and Technology (DST)
Quick Information
Area of Research
Mathematical Sciences
Focus Area
Mathematics
Start Year
2024
Sanction Amount
₹ 27.93 L
Status
Ongoing
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
N/A
Startup (If Any)
00
No. of Patents
Filed :00
Grant :00
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