The National Science Foundation (NSF) awarded The Johns Hopkins University a $106,185 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant funds a research project titled "Functoriality for Relative Trace Formulas -The Langlands Functoriality Conjecture" from July 1, 2024 to June 30, 2027. The project will examine ways to prove important conjectures in number theory by using the idea of quantization to construct novel methods for comparing relative trace formulas, with the goal of expanding their potential reach and applicability. The broader impacts include organizing conferences and mentoring graduate students. The PI has previously demonstrated relative functoriality via transfer operators between relative trace formulas in low-rank cases, and this project aims to generalize those construction methods to higher rank L-groups. No federal grant sub-awards are planned under this award.
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