Department of         Mathematical Sciences Events People Colloquia and Seminars Conferences Centers Positions Areas of Research About the Department Alumni Math Colloquium Akshay Venkatesh Stanford University Title: Lattices in high dimension Abstract: A lattice is just a grid in Euclidean space: the subgroup generated by n linearly independent vectors in $\ R^n$ (e.g. the integer lattice $\ Z^n$). The problem of understanding the short vectors in a lattice arises in many settings, e.g. in the construction of dense sphere packings and in proposed lattice-based cryptosystems. I will discuss this circle of ideas, and try to convey a picture of what a typical high dimensional lattice looks like -- as a warning, it looks nothing like $\ Z^n$! Date: Friday, April 28, 2017Time: 4:30 pmLocation: Wean Hall 7500Submitted by:  BukhNote: Refreshments at 5:30 pm, Wean Hall 6220.