EVENT DETAILS AND ABSTRACT

Title: Higher geometry and algebraic K-theory
Speaker: John Lind
Speaker Info: U Chicago
Brief Description:
Special Note:
Abstract:

A cohomology theory E is particularly useful when we can understand its cocycles E^*(X) in terms of geometric objects associated to the space X. A basic example is the description of topological K-theory in terms of complex vector bundles. I will give an analogous interpretation of cocycles for E=K(R), the algebraic K-theory of an associative ring spectrum, in terms of bundles of R-modules over X. I will also discuss conjectural connections to elliptic cohomology theories and higher categorical geometry.