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Arun Debray, Zoom: Invertible phases for mixed spatial symmetries and the fermionic crystalline equivalence principle
Friday, April 16, 2021, 10:00am - 11:00am
Condensed-matter theorists are interested in classifying invertible phases of matter in which the symmetry group G can act on space. One approach uses "crystalline equivalence principles," describing isomorphisms between the abelian groups of invertible phases with spatial symmetries vs. with purely internal symmetries. Freed-Hopkins model these invertible phases using equivariant homotopy theory. I'll begin this talk by introducing (a slight generalization of) Freed-Hopkins' models of these classifications, then apply them to a theorem in homotopy theory which we interpret in physics as a crystalline equivalence principle for fermionic phases. If time remains, I'll discuss some techniques for computing these abelian groups of invertible phases. This is a thesis defense.
Location: Zoom

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