Seungki Kim, University of Cincinnati

PDL C401
This talk is an introduction to the classical lattice problems of sphere packing and covering in arbitrarily high dimensions, and the Siegel and Rogers integral formula developed in the 194050's to study them. They still remain as one of the strongest approaches to the family of such problems, and the records established back then remain unbeaten to this day. I present some past and recent works in the literature, as well as a few works of mine, that are in some sense reflections on the difficulty of these problems.