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SUMMARY:Kent Vashaw (Massachusetts Institute of Technology\, USA)
DTSTART:20240212T150000Z
DTEND:20240212T160000Z
DTSTAMP:20260422T181009Z
UID:QGS/110
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/110/">Qu
 antum-symmetric equivalence via Manin's universal quantum groups</a>\nby K
 ent Vashaw (Massachusetts Institute of Technology\, USA) as part of Quantu
 m Groups Seminar [QGS]\n\n\nAbstract\nWe study 2-cocycle (and more general
 ly quantum-symmetric equivalences between) twists of graded algebras via t
 heir associated universal quantum groups\, in the sense of Manin. We prove
  that Zhang twists arise as a special case of 2-cocycle twist\, and that 2
 -cocyle twisting preserves many fundamental homological invariants of grad
 ed algebras. As a consequence\, we give a characterization of Artin--Schel
 ter regular algebras using the language of 2-cocycle twists.\n
LOCATION:https://researchseminars.org/talk/QGS/110/
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