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SUMMARY:Robert Laugwitz (University of Nottingham\, UK)
DTSTART:20240219T150000Z
DTEND:20240219T160000Z
DTSTAMP:20260422T180948Z
UID:QGS/112
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/112/">In
 duced functors on Drinfeld centers</a>\nby Robert Laugwitz (University of 
 Nottingham\, UK) as part of Quantum Groups Seminar [QGS]\n\n\nAbstract\nI 
 will explain how the right/left adjoint of a monoidal functor induced a br
 aided lax/oplax monoidal functors between the corresponding Drinfeld cente
 rs. This requires some mild technical assumptions\, namely that the projec
 tion formulas hold for the adjoint functor. This holds\, for example\, whe
 n the monoidal categories are rigid. As the induced functors on the Drinfe
 ld centers are (op)lax and compatible with braiding\, they preserve commut
 ative (co)algebra objects. As classes of examples\, we consider monoidal r
 estriction functors along extensions of Hopf algebras leading to (co)induc
 tion functors on Yetter-Drinfeld module categories. This is joint work in 
 progress with Johannes Flake (Bonn) and Sebastian Posur (Münster).\n
LOCATION:https://researchseminars.org/talk/QGS/112/
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