The dimensions of the weight spaces of irreducible representations of reductive groups can be q-deformed, obtaining the Kostka-Foulkes polynomials, which measure the dimensions of the Brylinski-Kostant filtration and therefore have positive…
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SL(2,C)-character varieties of knots and maps of degree 1 – Raphael Zentner (Durham University)
We ask to what extend the SL(2,C)-character variety of the fundamental group of the complement of a knot in S^3 determines…
Perfect Shifted QR for Rank Structured Pencils – Vandebril Raf (KU Leuven)
It is known that executing a perfect shifted QR step via the implicit QR algorithm performs poor in terms of stability, and accuracy. Typically several steps are required before deflation actually takes place. This behavior can be remedied by…