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SUMMARY:Higher Homotopy Categories\, Higher Derivators\, and K-Theory
DTSTART:20191104T101500
DTEND:20191104T111500
DTSTAMP:20260916T114018Z
UID:5b043c04e06e2b3491c6514524f3016bf1150f27c8be156872700496
CATEGORIES:Conferences - Seminars
DESCRIPTION:George Raptis\, Universität Regensburg\nI will discuss the c
 onstruction of the homotopy n-category and its properties\, especially in 
 connection with the existence of higher weak colimits. Inspired by this co
 nstruction\, I will introduce higher categorical generalizations of the no
 tion of a (pre)derivator which take values in n-categories for any fixed n
 . These may be regarded as a sequence of approximations that bridge the ga
 p between $\\infty$-categories and derivators. Then I will define $K$-theo
 ry for higher homotopy categories and for higher derivators\, and present 
 some results on the comparison with Waldhausen $K$-theory.
LOCATION:MA A1 10
STATUS:CONFIRMED
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