Brandeis-Harvard-MIT-Northeastern

JOINT MATHEMATICS COLLOQUIUM

K-theories and cohomology theories

Eric M. Friedlander

Northwestern University

Northeastern University

Thursday, February 10, 2000

Talk at 4:30 p.m. in 509 Lake Hall

Tea at 4:00 p.m. in 544 Nightingale Hall

Abstract: We motivate and introduce the recent construction (joint with Mark Walker) of a higher K-theory for quasi-projective varieties over a field in which the usual role of rational equivalence is replaced by algebraic equivalence. In special examples, this K-theory is related to stabilizations of moduli spaces; in general, this K-theory is remarkably close to both algebraic and topological K-theory; moreover, this K-theory is related to morphic cohomology as algebraic K-theory is to motivic cohomology and topological K-theory to singular cohomology.

Here are some directions to Northeastern University. Lake Hall and Nightingale Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street. The two halls are connected, with no well-defined boundary in between. In particular, 509 Lake Hall is on the same corridor as 544 Nightingale Hall.

There is free parking available for people coming to the colloquium at Northeastern's visitor parking. The entrance is from Columbus Avenue, right next to the parking garage.

	Web page: Alexandru I. Suciu	Created: Jan. 17, 2000
	Comments to: alexsuciu@neu.edu	URL: `http://www.math.neu.edu/bhmn/friedlander.html`