Research
Title : | Hecke algebras for tame Bernstein blocks |
Area of research : | Mathematical Sciences |
Focus area : | Mathematics |
Principal Investigator : | Dr. Manish Kumar Mishra, Associate Professor, Indian Institute of Science Education and Research, Pune |
Timeline Start Year : | 2023 |
Timeline End Year : | 2025 |
Contact info : | manish@iiserpune.ac.in |
Details
Executive Summary : | The Langlands program is a mathematical theory that organizes fundamental arithmetic objects in terms of automorphic representations. It was formulated in 1967 by Robert Langlands and is a specialization of the Bushnell-Kutzko theory. The local Langlands conjecture (LLC) states that irreducible admissible objects of the category R(G(F)) can be partitioned into finite sets called L-packets. The category decomposes into Bernstein blocks, equivalent to the module category of an assciative C-algebra called Hecke algebra. The project aims to complete the Bushnell-Kutzko program and specialize the result to principal series blocks. |
Total Budget (INR): | 29,68,888 |
Organizations involved
Implementing Agency : | Indian Institute of Science Education and Research, Pune |