|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 K-theory). 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