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Study of the Topology of Varieties and Principal Bundles defined on them

Implementing Organization

Indian Institute of Technology Bombay
Principal Investigator
Dr. Sudarshan Rajendra Gurjar
Indian Institute of Technology (IIT)

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.
Funding Organization
Funding Organization
Science and Engineering Research Board (SERB), New Delhi
Anusandhan National Research Foundation (ANRF)
Quick Information
Area of Research
Mathematical Sciences
Focus Area
Algebraic Geometry, Topology
Start Year
2024
End Year
2027
Sanction Amount
₹ 6.60 L
Status
Ongoing
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
N/A
Startup (If Any)
00
No. of Patents
Filed :00
Grant :00
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