Mathematical Sciences Seminar for Master's Students
The Sum of Squares and Universal Quadratic Forms
Speaker: Tahseen Rabbani, CIMS
Location: Warren Weaver Hall 1314
Date: Wednesday, October 11, 2017, 7:45 p.m.
Representability of integers by quadratic forms is a topic of study with roots dating back several centuries. In this talk we will discuss which integers are representable as the sum of two, three, and four squares. We will then segue into results in modern number theory related to representability such as the Conway-Schneeberger Fifteen Theorem and Manjul Bhargava's refinement of it.