Research

Mathematical Sciences

Title :

Sub. : Euler-Poincare pairing, Ext-spaces and theta correspondence

Area of research :

Mathematical Sciences

Principal Investigator :

Dr. Shiv Prakash Patel, Indian Institute Of Technology (IIT) Delhi

Timeline Start Year :

2023

Timeline End Year :

2026

Contact info :

Details

Executive Summary :

The proposal is to study (1) the Euler-Poincare pairing in the context of covering groups of $GL_n$ over a $p$-adic field, and (2) the variation of $Ext$-spaces under theta correspondence which is known to well behave for the $Hom$-functor known as See-Saw duality.

Total Budget (INR):

6,60,000

Organizations involved