BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Roberto Hernández Palomares (University of Waterloo\, Canada) DTSTART:20250317T150000Z DTEND:20250317T160000Z DTSTAMP:20260422T181141Z UID:QGS/127 DESCRIPTION:Title: Qu antum graphs\, subfactors and tensor categories\nby Roberto Hernández Palomares (University of Waterloo\, Canada) as part of Quantum Groups Sem inar [QGS]\n\n\nAbstract\nWe will introduce equivariant graphs with respec t to a quantum symmetry along with examples such as classical graphs\, Cay ley graphs of finite groupoids\, and their quantum analogues. These graphs can be presented concretely by modeling a quantum vertex set by an inclus ion of operator algebras and the quantum edge set by an equivariant endomo rphism\, idempotent with respect to convolution/Schur product. Equipped wi th this viewpoint and tools from subfactor theory\, we will see how to obt ain all these idempotents using higher relative commutants and the quantum Fourier transform. Finally\, we will state a quantum version of Frucht's Theorem\, showing that every quasitriangular finite quantum groupoid arise s as certain automorphisms of some categorified graph.\n LOCATION:https://researchseminars.org/talk/QGS/127/ END:VEVENT END:VCALENDAR