Date: Tuesday, March 31, 2015
Title: Between characteristic zero and characteristic p: Cohomology Theories and Commutative Rings
Abstract: This will be the first lecture of a Spring Algebraic Geometry Series, entitled
"Between characteristic zero and characteristic p".
One of the primary goals of algebraic topology is to obtain information about topological spaces X by studying algebraic invariants of X, such as the cohomology H^*(X; R) with coefficients in a commutative ring R. For many applications, it is useful to consider more exotic invariants given by "extraordinary" cohomology theories (such as Ktheory). In this talk, I'll give an informal introduction to the study of extraordinary cohomology theories, emphasizing their algebraic role as generalized commutative rings.
Speaker: Jacob Lurie
Institution: Harvard
