Research
Title : | Quotients in algebraic supergeometry |
Area of research : | Mathematical Sciences |
Focus area : | Mathematics |
Principal Investigator : | Dr. Sanjaykumar Hansraj Amrutiya, Assistant Professor, Indian Institute of Technology (IIT), Gandhinagar |
Timeline Start Year : | 2024 |
Contact info : | samrutiya[at]iitgn[dot]ac[dot]in |
Details
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. |
Co-PI: | Dr. Indranath Sengupta, Indian Institute of Technology (IIT), Gandhinagar |
Total Budget (INR): | 27,92,888 |
Organizations involved
Implementing Agency : | Indian Institute of Technology (IIT), Gandhinagar Funding Agency : Science and Engineering Research Board (SERB), Department of Science and Technology (DST) | |