Heute zu Gast um 16:15 im Sitzungszimmer des Mathematischen Instituts für die #MathematischeGesellschaft #Göttingen:
Christian Sämann von der Heriot-Watt University Edinburgh mit
"Higher Gauge Theory"
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Spectral Response of Disorder-Free Localized Lattice Gauge Theories
Certain lattice gauge theories exhibiting disorder-free localization have a characteristic response in spectral functions: a few sharp peaks combined with vanishing response in the zero frequency limit. These results can distinguish the disorder-free localized phase from conventional paramagnetic counterparts in frustrated magnets. Check out our latest PRL here:
I have neglected this channel, sorry lol. If you follow me you will probably find this interesting: https://arxiv.org/abs/2307.00442
arXiv.orgHomotopy theories of $(\infty, \infty)$-categories as universal fixed points with respect to enrichmentWe show that both the $\infty$-category of $(\infty, \infty)$-categories with inductively defined equivalences, and with coinductively defined equivalences, satisfy universal properties with respect to weak enrichment in the sense of Gepner and Haugseng. In particular, we prove that $(\infty, \infty)$-categories with coinductive equivalences form a terminal object in the $\infty$-category of fixed points for enrichment, and that $(\infty, \infty)$-categories with inductive equivalences form an initial object in the subcategory of locally presentable fixed points. To do so, we develop an analogue of Adámek's construction of free endofunctor algebras in the $\infty$-categorical setting. We prove that $(\infty, \infty)$-categories with coinductive equivalences form a terminal coalgebra with respect to weak enrichment, and $(\infty, \infty)$-categories with inductive equivalences form an initial algebra with respect to weak enrichment.
What is the #Hopf #Fibration?
The #HopfFibration commonly shows up in discussions surrounding #GaugeTheory and #Fundamental #Physics, though its construction is not so mysterious.
https://www.youtube.com/watch?v=nsHcKO7HvFY&ab_channel=Poppro