Research

Mathematical Sciences

Title :

Universal Moduli Spaces for G-Torsors Over the Deligne-Mumford Compactification

Area of research :

Mathematical Sciences

Principal Investigator :

Prof. V Balaji, Chennai Mathematical Institute, Tamil Nadu

Timeline Start Year :

2023

Timeline End Year :

2026

Contact info :

Details

Executive Summary :

The universal moduli space M(G) can be constructed over M_g. The goal of the present project is to construct a compactification of M(G) over $\bar{M}_g$. In other words, we wish to give a universal construction over $\bar{M}_g$ for all groups G, with singularities which are simple.

Total Budget (INR):

6,60,000

Organizations involved