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Lie Group Quantum Mathematics Seminar

Integration on flags of lattices using Maass-Selberg relations

Forrest Thurman, Rutgers University

Location:  Hill 705
Date & time: Friday, 26 April 2024 at 2:00PM - 3:00PM

We use the Maass-Selberg relations for the Borel Eisenstein series to study integrals of functions of covolumes of flags in random lattices. This work can be seen as a generalization of Siegel's integration formula which says that a function on R^n, n>1 can be integrated by taking the expected value of the sum of the function over the lattice points of a random covolume one lattice in R^n. Since the Maass-Selberg relations hold for arbitrary split real lie groups, we are able to compute integration results for functions of flags of random symplectic lattices as well.