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Dimension-free matricial Nullstellens\"atze for noncommutative polynomials
Jurij Vol\v{c}i\v{c}
https://arxiv.org/abs/2403.06270 https://

Dimension-free matricial Nullstellensätze for noncommutative polynomials
Hilbert's Nullstellensatz is one of the most fundamental correspondences between algebra and geometry, and has inspired a plethora of noncommutative analogs. In last two decades, there has been an increased interest in understanding vanishing sets of polynomials in several matrix variables without restricting the matrix size, prompted by developments in noncommutative function theory, control systems, operator algebras, and quantum information theory. The emerging results vary according to the …

Schickt Popcorn, viel viel Popcorn! https://slashdot.org/story/24/03/01/1218218/elon-musk-sues-openai-and-sam-altman

Schickt Popcorn, viel viel Popcorn! https://slashdot.org/story/24/03/01/1218218/elon-musk-sues-openai-and-sam-altman

Wer hätte das gedacht …
https://www.tu.berlin/forschen/wir-haben-die-komplexitaet-unterschaetzt