Alexander Berglund: Rational algebraic K-theory of simply connected spaces and cyclic homology
Time: Mon 2018-04-23 13.15 - 15.00
Location: Room 3418, Lindstedtsvägen 25, 4th floor, Department of mathematics, KTH
Participating: Alexander Berglund, SU
ABSTRACT: I will discuss the result that for a simply connected space X, the rational homotopy groups of Waldhausen's algebraic K-theory of spaces, A(X), can be calculated in terms of cyclic homology of the differential graded algebra of singular chains on the based loop space of X, following
W.C. Hsiang, R.E. Staffeldt,
A model for computing the rational algebraic K-theory of simply connected spaces. Invent. Math. 68 (1982), no. 2, 227-239.
and
D. Burghelea, Cyclic homology and the algebraic K-theory of spaces I. Contemp. Math., 55, 89-115, Amer. Math. Soc, 1986.
This talk is a continuation of the Hochschild homology reading seminar.