Charles Weibel: The K-theory of toric varieties in mixed characteristic
Time: Tue 2017-01-31 15.00 - 16.00
Location: Institut Mittag-Leffler, Auravägen 17, Djursholm
Participating: Charles Weibel, Rutgers, The State University of New Jersey
Coffee: 14:30-15:00
This is joint work with Cortinas, Haesemeyer and Walker.
Abstract: Let k be a regular ring and X a toric variety over k (locally Spec of R[M], where M is a submonoid of \(Z^n\)). A dilation of M by a constant c is an endomorphism sending m to c.m; dilations of X are analogous. If \(C=(c_1, ...)\) is a sequence of constants >1, we show that the direct limit along C of the \(K_*(X)\) is \(KH_*(X)\), and the direct limit of the \(K_*(k[M])\) is \(K_*(k)\). (This was conjectured by Gubeladze, and already known when k contains a field.)