BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Nicholas Meadows (University of Bologna) DTSTART:20250703T103000Z DTEND:20250703T113000Z DTSTAMP:20260423T004756Z UID:TTT/2 DESCRIPTION:Title: Andr รจ-Quillen Cohomology and the k-Invariants of Simplicial Categories\nb y Nicholas Meadows (University of Bologna) as part of Transalpine Topology Tetrahedron (TTT) - Pavia Vertex\n\nLecture held in Aula Beltrami.\n\nAbs tract\nSpaces\, and more generally infinity-categories\, have a canonical decomposition into simpler pieces known as Postnikov sections\, which are glued together by their k-invariants. For an $\\infty$-category X\, these take value in the spectral Andre-Quillen cohomology of Harpaz\, Nuiten\, and Prasma. By pulling these k-invariants back to diagrams inside X\, one obtains a series of obstructions to lifting the diagram to successive stag es in the Postnikov tower. \n\nIn this talk\, we will show how various con structions in algebraic topology\, such as differentials in spectral seque nces and cohomology operations\, can be viewed as obstructions to extendin g cubical diagrams in the infinity category of spaces. Motivated by this\, we will also show that there exists a canonical cubical decomposition of the spectral Andre-Quillen cohomology. Joint work with David Blanc.\n\nJoi n Zoom Meeting https://unipv-it.zoom.us/j/94344875868\n\nMeeting ID: 943 4 487 5868\n LOCATION:https://researchseminars.org/talk/TTT/2/ END:VEVENT END:VCALENDAR