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.
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Indian Institute of Science
Associate Professor
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