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SUMMARY:Manuel Reyes (University of California)
DTSTART:20211102T160000Z
DTEND:20211102T170000Z
DTSTAMP:20260423T021235Z
UID:ONCAS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ONCAS/8/">Du
 al coalgebras as a quantized maximal spectrum</a>\nby Manuel Reyes (Univer
 sity of California) as part of ONCAS Online Noncommutative Algebra Seminar
 \n\n\nAbstract\nIf an algebra A has “many” finite-dimensional represen
 tations\, we argue that its Sweedler dual coalgebra is a reasonable functo
 rial quantization of the maximal spectrum of A. Many such algebras arise a
 s twisted tensor products of commutative algebras\, including Ore extensio
 ns and smash products. This leads to the problem of understanding the dual
  coalgebra of a twisted tensor product. We will discuss when the Sweedler 
 dual of a twisted tensor product can be computed as a cross product coalge
 bra\, a result that is achieved using methods of topological algebra.\n
LOCATION:https://researchseminars.org/talk/ONCAS/8/
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