Brandeis-Harvard-MIT-Northeastern Joint Mathematics Colloquium
Thursday, October 21, 2021 at 4:30pm to 6:00pm
MIT, 2-190 77 Massachusetts Avenue, Cambridge, MA 02139
Speaker: John Pardon (Princeton University)
Title: Enough vector bundles on orbispaces
Abstract: 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. In particular, it implies a Spanier–Whitehead duality functor in a certain stable homotopy category of orbispaces and a Pontryagin–Thom isomorphism for orbifold bordism groups.
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For more information, please go to https://colloquium.sites.northeastern.edu/.
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