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Mathematics Colloquium


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
Institution:  Harvard


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