Sums of Squares and Applications to Hypoellipticity

Explore a comprehensive lecture on sums of squares and their applications to hypoellipticity, delivered by Eric Sawyer from McMaster University as part of the Focus Program on Analytic Function Spaces and their Applications. Delve into key topics including differential equations, Chris Theorem, Peppermint Fong Theorem, and counterexamples. Examine the concepts of monotonicity, hyperelectricity, and general hypoellipticity. Gain insights into the construction and application of these mathematical principles, concluding with a theorem on general hypoellipticity and an opportunity for questions.

Introduction
Sums of squares
Differential equations
Construction
Chris Theorem
Peppermint Fong Theorem
Counterexamples
Monotonicity
Hyperelectricity
Hypoellipticity
General Hypoellipticity
Theorem
Questions