Graduate Student Colloquium
Jay Kopper
UIC
How to add
Abstract: Given two integers, it is a classical problem to find their sum. The modern perspective is to note that the operation of addition endows the integers with the structure of a group. However, the classical algorithm relies on a complicated procedure which obscures the underlying group structure. People typically treat an integer as an element of $\mathbb{Z}/10\mathbb{Z}^{\oplus n}$, and add elements of this group via an arcane process called "carrying." In this talk I will attempt to clarify this confusing apparatus using the group cohomology of certain cyclic groups. To conclude the talk, I will give an explicit example of a sum and discuss applications of addition.
Pizza will be provided.
Thursday March 22, 2018 at 5:00 PM in SEO 636