Vertically Aligned Entries in Pascal's Triangle and Connections to Number Theory
Time and place
1:45 PM on Wednesday, July 10th, 2019; Marshak 418N
Heidi Goodson (Brooklyn College)
Abstract
The classic way to write down Pascal's triangle leads to entries in alternating rows being vertically aligned. In this talk, I'll explain and prove a linear dependence on vertically aligned entries in Pascal's triangle. Furthermore, I'll show how this result is related to a problem in number theory. Specifically, I'll explain how a search for morphisms between hyperelliptic curves led to the discovery of this identity.
