Events Archive
G_2-instantons on the 7-sphere
GAUGE-TOPOLOGY-SYMPLECTIC
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....
Read more
Principal component analysis for topologists
GAUGE-TOPOLOGY-SYMPLECTIC
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....
Read more
Thurston norm minimizing Seifert surfaces
GAUGE-TOPOLOGY-SYMPLECTIC
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...
Read more
Floer-theoretic heaviness and Lagrangian skeleta
GAUGE-TOPOLOGY-SYMPLECTIC
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...
Read more
Heegaard Floer and homology cobordism
GAUGE-TOPOLOGY-SYMPLECTIC
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...
Read more