Research
Title : | Group cohomology for triality automorphism and the mod-3 reduction. |
Area of research : | Mathematical Sciences |
Focus area : | Group Theory and Cohomology |
Principal Investigator : | Dr. Santosh VRN Nadimpalli, Indian Institute Of Technology Kanpur (IITK), Uttar Pradesh |
Timeline Start Year : | 2024 |
Timeline End Year : | 2027 |
Contact info : | nsantosh@iitk.ac.in |
Details
Executive Summary : | 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). |
Total Budget (INR): | 6,60,000 |
Organizations involved
Implementing Agency : | Indian Institute Of Technology Kanpur 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 | |