Announcements - All
G_2-instantons on the 7-sphere
October 25, 2019 3:30 pmAbstract: I'll discuss a forthcoming paper studying families of G_2-instantons on S^7, focusing on those which are obtained by pulling back asd instantons on S^4 via the quaternionic Hopf fibration....
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Principal component analysis for topologists
September 27, 2019 3:30 pmAbstract: Geometrically, PCA finds the k-dimensional subspace nearest a point cloud in m-dimensional Euclidean space. Numerically, PCA also specifies a basis for this subspace, the principal directions of the data....
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Thurston norm minimizing Seifert surfaces
September 20, 2019 3:30 pmAbstract: Let K be a null-homologous knot in a closed 3-manifold Y, and F be a Seifert surface. One can cap off the boundary of F with a disk in...
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Floer-theoretic heaviness and Lagrangian skeleta
September 13, 2019 3:30 pmAbstract: I will talk on what I have learned from Umut Varolgunes, and on our work in preparation. In 2007, Entov and Polterovich introduced the notion of heavy and superheavy...
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Heegaard Floer and homology cobordism
April 26, 2019 3:30 pmAbstract: We show that the three-dimensional homology cobordism group admits an infinite-rank summand. It was previously known that the homology cobordism group contains an infinite-rank subgroup and a Z-summand. The...
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Exotic Structures, Homology Cobordisms and Chern-Simons Functional
April 19, 2019 3:30 pmAbstract: An exotic structure on a smooth manifold X is another smooth manifold which is homeomorphic but not diffeomorphic to X. There are many closed 4-manifolds which admit exotic smooth...
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