|May 18, 2017
There are many differences as well as similarities between p-adic Lie groups and real Lie groups. By taking the cartesian product of them, we obtain an interesting structure, called S-adic Lie groups. For example, one can generalize lattices of real spaces to those of S-adic spaces. In this setting, we examine the distribution of the image of an S-adic lattice under an isotropic quadratic form, which is a generalization of the work of Eskin-Margulis-Mozes (1998). This is a joint work with Seonhee Lim and Keivan Mallahi-Karai.