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Complex Analysis, Dynamics and Geometry Seminar

Enough vector bundles on orbispaces
Monday, September 27, 2021
4:00-5:00 PM
3096 East Hall Map
An orbispace is a "space" which is locally the quotient of a topological space by a continuous action of a finite group. Familiar examples of orbispaces include orbifolds, (the analytifications of) Deligne--Mumford stacks over C, and moduli spaces of solutions to elliptic partial differential equations, as they appear in low-dimensional and symplectic topology. The fibers of a vector bundle over an orbispace are representations of its stabilizer groups. When do there exist vector bundles all of whose fiber representations are faithful? This condition is called having "enough" vector bundles, and plays an important role in the stable homotopy theory of orbispaces. Speaker(s): John Pardon (Princeton)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics