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SUMMARY:Andrew Baker (University of Glasgow)
DTSTART:20210426T103000Z
DTEND:20210426T113000Z
DTSTAMP:20260422T140000Z
UID:BilTop/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/24/">
 Duals of P-algebras and their comodules</a>\nby Andrew Baker (University o
 f Glasgow) as part of Bilkent Topology Seminar\n\nLecture held in SB-Z11.\
 n\nAbstract\nP-algebras are connected graded cocommutative Hopf algebras w
 hich are unions of finite dimensional Hopf algebras (which are also Poinca
 re duality algebras). These are quasi-Frobenius algebras and have some rem
 arkable homological properties. The motivating examples for which the theo
 ry was produced are the Steenrod algebra at a prime and large sub and quot
 ient \nHopf algebras. \n\nThe dual of a P-algebra is a commutative Hopf al
 gebra and I will discuss some homological properties of its comodules. In 
 particular there is a large class of coherent comodules which admit finite
 ly generated projective resolutions\, but finite dimensional comodules hav
 e no non-trivial maps from these. \n\nUsing some Cartan-Eilenberg spectral
  sequences this can be applied to show that certain Bousfield classes of s
 pectra are distinct\, thus extending results of Ravenel.\n
LOCATION:https://researchseminars.org/talk/BilTop/24/
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