Group cohomology for triality automorphism and the mod-3 reduction.
Implementing Organization
Indian Institute of Technology (IIT), Kanpur
Principal Investigator
Dr. Santosh VRN Nadimpalli
Indian Institute of Technology (IIT), Kanpur
About
The study explores Tate cohomology groups of Triality invariant lattices in irreducible smooth representations of the p-adic group PSO(8, F). The research is motivated by Treumann and Venkatesh's conjectures on Smith theory and Langlands functoriality lifting of mod-l Hecke eigenvalues. The authors aim to verify these conjectures for cuspidal representations using the compact induction model, as explicit local Langlands correspondence is established for all relevant groups. They have also developed analogues for the Base change setting of GL(n).
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
Group Theory and Cohomology
Start Year
2024
End Year
2027
Sanction Amount
₹ 6.60 L
Status
Ongoing
Contact
nsantosh@iitk.ac.in
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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