BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Peter Schenzel (Institut für Informatik. Martin-Luther-Universit
 ät Halle-Wittenberg.)
DTSTART:20210702T120000Z
DTEND:20210702T130000Z
DTSTAMP:20260423T021004Z
UID:VCAS/89
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/89/">Ne
 ws about Koszul and \\v{C}ech complexes: Another view at local cohomology 
 and completion-II</a>\nby Peter Schenzel (Institut für Informatik. Martin
 -Luther-Universität Halle-Wittenberg.) as part of IIT Bombay Virtual Comm
 utative Algebra Seminar\n\n\nAbstract\nIn the first part of the talk\, we 
 present some elementary new facts about \nKoszul and \\v{C}ech complexes w
 ith respect to a single element. \nWe construct free resolutions of the \\
 v{C}ech complex for \na system of elements in a commutative ring. \n\nThis
  is used in order to construct quasi-isomorphisms  \nbetween the \\v{C}ech
  complexes and certain Koszul complexes.\nThe free resolution of the \\v{C
 ech} complex is applied in order \nto find relations to the left derived f
 unctors of the completion \nas a certain Koszul homology. \n\nThis materia
 l provides an elementary introduction to some of the results of the speake
 rs joint work with A.-M. Simon (see "Completion\, \\v{C}ech \nand local ho
 mology and cohomology. Interactions between them. Springer Monograph\, \n2
 018") as well as some further developments.\n\nOne focus is the study of w
 eakly proregular sequences and of proregular \nsequences which provides a 
 new insight for the local cohomology as well as the \nleft derived functor
 s of the completion. Finally we shall present an application to prisms in 
 the sense of Bhatt and Scholze.\n
LOCATION:https://researchseminars.org/talk/VCAS/89/
END:VEVENT
END:VCALENDAR