Study of the Topology of Varieties and Principal Bundles defined on them
Implementing Organization
Indian Institute of Technology (IIT), Bombay
Principal Investigator
Dr. Sudarshan Rajendra Gurjar
Indian Institute of Technology (IIT)
About
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
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
Contact
srgurjar1984@gmail.com
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
No. of Patents
Filed :00
Grant :00
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