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Wednesday, July 8, 2020 3:00 pm - 3:00 pm EDT (GMT -04:00)

PhD Seminar • Symbolic Computation — Fast Computation of the Smith Form of a Nonsingular Integer Matrix

Please note: This PhD seminar will be given online.

Stavros Birmpilis, PhD candidate
David R. Cheriton School of Computer Science

Any nonsingular matrix $A \in \mathbb{Z}^{n\times n}$ is unimodularly equivalent to a unique diagonal matrix $S = diag(s_1, s_2, \ldots, s_n)$ in Smith form. The diagonal entries, the invariant factors of $A$, are positive with $s_1 \mid s_2 \mid \cdots \mid s_n$, and unimodularly equivalent means that there exist unimodular (with determinant ±1) matrices $U, V \in \mathbb{Z}^{n\times n}$ such that $UAV = S$.

Monday, June 22, 2020 6:00 pm - 7:30 pm EDT (GMT -04:00)

Propelled by the Pandemic — Explosive Digital Growth, 5G Adoption and the Future

Digital adoption and dependence have been dramatically propelled by the COVID-19 pandemic. This sudden growth spotlights critical issues such as cybersecurity, privacy, resilience, the highly consequential shift to 5G, and what innovative technologies may follow. Leadership in 5G adoption will be a vital determinant of future national competitiveness, as 5G will further enable dramatic technological advances in logistics, manufacturing, autonomous vehicles, mining, construction and smart grids.