Research
Title : | Study of the Topology of Varieties and Principal Bundles defined on them |
Area of research : | Mathematical Sciences |
Focus area : | Algebraic Geometry, Topology |
Principal Investigator : | Dr. Sudarshan Rajendra Gurjar, Indian Institute Of Technology (IIT) Bombay, Maharashtra |
Timeline Start Year : | 2024 |
Timeline End Year : | 2027 |
Contact info : | srgurjar1984@gmail.com |
Details
Executive Summary : | 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. |
Total Budget (INR): | 6,60,000 |
Organizations involved
Implementing Agency : | Indian Institute Of Technology Bombay, Maharashtra Funding Agency :Anusandhan National Research Foundation/ Science and Engineering Research Board | Source :Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24 | |