Study of the Topology of Varieties and Principal Bundles defined on them
Implementing Organization
Indian Institute Of Technology Bombay, Maharashtra
Principal Investigator
Dr. Sudarshan Rajendra Gurjar
Indian Institute Of Technology (IIT) Bombay, Maharashtra
Project Overview
The researcher aimes to study two aspects of Algebraic Geometry - The study of the topology of Algebraic Varieties with special emphasis on algebraic surfaces, and the study of vector bundles and principal bundles defined on them. The topological aspects involve understanding the homology and homotopy groups of these varieties and the study of Principal bundles involves studying individual bundles and their moduli spaces/ moduli stacks with techniques coming from Algebraic Groups.
Source
Source
Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24
Indian Institute Of Technology Bombay, Maharashtra
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