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.

Synopsis:

Abstract

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.