BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tobias Fritz DTSTART:20240607T130000Z DTEND:20240607T140000Z DTSTAMP:20260423T021527Z UID:ACPMS/43 DESCRIPTION:Title: S elf-distributive structures in physics\nby Tobias Fritz as part of Alg ebraic and Combinatorial Perspectives in the Mathematical Sciences\n\n\nAb stract\nIn all of our current physical theories\, it is a central feature that observables generate 1-parameter groups of transformations. For examp le\, a Hamiltonian generates time translations\, while the angular momentu m observable generates rotations. In this talk\, I will explain how this p roperty is captured algebraically by the new notion of Lie quandle. The ce ntral ingredient is a version of the self-distributivity equation $x\\rhd( y\\rhd z)=(x\\rhd y)\\rhd(x\\rhd z)$. I will argue that Lie quandles can b e thought of as nonlinear generalizations of Lie algebras. It is intriguin g that not only the observables of physical theories form a Lie quandle\; the same is true for the (mixed) states\, where the Lie quandle structure is given by the formation of probabilistic mixtures.\n LOCATION:https://researchseminars.org/talk/ACPMS/43/ END:VEVENT END:VCALENDAR