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SUMMARY:Nicholas Meadows (University of Bologna)
DTSTART:20250703T103000Z
DTEND:20250703T113000Z
DTSTAMP:20260404T131153Z
UID:TTT/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TTT/2
 /">Andrè-Quillen Cohomology and the k-Invariants of Simplicial Categories
 </a>\nby Nicholas Meadows (University of Bologna) as part of Transalpine T
 opology Tetrahedron (TTT) - Pavia Vertex\n\nLecture held in Aula Beltrami.
 \n\nAbstract\nSpaces\, and more generally infinity-categories\, have a can
 onical decomposition into simpler pieces known as Postnikov sections\, whi
 ch are glued together by their k-invariants.  For an $\\infty$-category X\
 , these take value in the spectral Andre-Quillen cohomology of Harpaz\, Nu
 iten\, and Prasma. By pulling these k-invariants back to diagrams inside X
 \, one obtains a series of obstructions to lifting the diagram to successi
 ve stages in the Postnikov tower. \n\nIn this talk\, we will show how vari
 ous constructions in algebraic topology\, such as differentials in spectra
 l sequences and cohomology operations\, can be viewed as obstructions to e
 xtending cubical diagrams in the infinity category of spaces. Motivated by
  this\, we will also show that there exists a canonical cubical decomposit
 ion of the spectral Andre-Quillen cohomology. Joint work with David Blanc.
 \n\nJoin Zoom Meeting https://unipv-it.zoom.us/j/94344875868\n\nMeeting ID
 : 943 4487 5868\n
LOCATION:https://stable.researchseminars.org/talk/TTT/2/
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