Pure Maths Colloquium: Daniel Bernstein

This talk is part of the Pure Maths Colloquium at the University of St Andrews. Check out our upcoming talks at https://theran.lt/pure-colloquium/.

Where: Zoom 868 3518 6265
When: Mar 11 2021 @ 16.00
Video: Link (internal)
Speaker: Daniel Bernstein MIT / Fields Institute
Title: Rigidity of plane frameworks with forced symmetry

Rigidity theory asks and answers questions about how a given mechanical structure can deform. This area extends back into the nineteenth century with work of Cauchy and Maxwell, and continues to be an active area of research with a wide range of applications. I will begin my talk with a broad overview of this area. Then, I will narrow my focus onto symmetry-forced rigidity of plane frameworks to discuss a recent result. I will discuss the algebraic-geometric ideas involved in the proof, and how these same ideas can be used to address certain problems in matrix completion.