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Algebraic Topology Seminar

Cocycle representatives for local systems of differential graded modules
Monday, February 1, 2021
3:00 PM-12:00 AM
online Off Campus Location
Every differential graded algebra A gives rise to an associative ring spectrum HA, and every associative ring spectrum R has a space BGL_1(R) classifying local systems of R-modules. Perhaps unexpectedly, the space BGL_1(HA) can have non-trivial homotopy theory even in examples of a purely algebraic nature. For a space X, we will discuss cocycle-type models for maps X -> BGL_1(HA) and exhibit the resulting connections cohomology operations. Speaker(s): Tyler Lawson (University of Minnesota)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics