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Geneva's Chalk Talks
A glimpse into the maths behind the blackboard
The Geneva Chalk Talks series gives visibility to the work being done within the Section of Mathematics in a visual and direct way accesible to all mathematicians.
Each edition features a researcher sharing a snapshot of their work, right where ideas often start: at the blackboard.
Andras Szenes
This Chalk Talk displays some famous formulas linking Theoretical Physics and Enumerative Geometry. They mark some of the first in a remarkable series of contacts between the two subjects.
Bart Vandereycken
The blackboard explains a method called the dynamical low-rank algorithm (DLRA), used to simplify costly calculations involving large matrices or tensors, such as those in physics and engineering. DLRA works by focusing on low-rank approximations, which are simpler yet accurate representations of the original data. This makes solving equations faster and more efficient. Collaborations with colleagues in physics and applied mathematics improved DLRA, extending it to tensor networks and preserving important physical properties like energy. Recent advancements explore its use for stiff problems and improving its efficiency using randomization techniques, making DLRA a powerful tool for modern scientific computing.