On the Nonabelian Fourier Kernel and the Lafforgue Transform

Watch a mathematical conference talk from the Arithmetic Quantum Field Theory Conference where Professor Bảo Châu Ngô from the University of Chicago presents research on the nonabelian Fourier kernel and its role in automorphic L-functions' functional equations. Explore an analytic formula for SL2 cases using the Gelfand-Graev formula for Langlands' stable transfer factor and examine a linear mapping between the Bernstein center and cocenter, termed the Lafforgue transform. Delve into collaborative research conducted with Zhilin Luo that advances understanding of these complex mathematical concepts in the field of arithmetic quantum theory.