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G_2-instantons on the 7-sphere

GAUGE-TOPOLOGY-SYMPLECTIC

October 25, 2019      3:30 pm
Speaker: Alex Waldron - Michigan State

Abstract: 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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TBA

GAUGE-TOPOLOGY-SYMPLECTIC

October 18, 2019      3:30 pm
Speaker: Laurent Côté - Stanford

Abstract: TBA
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TBA

GAUGE-TOPOLOGY-SYMPLECTIC

October 11, 2019      3:30 pm
Speaker: Agustín Moreno - Augsburg

Abstract: TBA
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Principal component analysis for topologists

GAUGE-TOPOLOGY-SYMPLECTIC

September 27, 2019      3:30 pm
Speaker: Jon Bloom - Broad Institute

Abstract: 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

GAUGE-TOPOLOGY-SYMPLECTIC

September 20, 2019      3:30 pm
Speaker: Yi Ni - Caltech

Abstract: 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

GAUGE-TOPOLOGY-SYMPLECTIC

September 13, 2019      3:30 pm
Speaker: Dmitry Tonkonog - Harvard

Abstract: 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

GAUGE-TOPOLOGY-SYMPLECTIC

April 26, 2019      3:30 pm
Speaker: Jennifer Hom - Georgia Tech

Abstract: 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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Feral pseudoholomorphic curves and minimal sets

GAUGE-TOPOLOGY-SYMPLECTIC

April 12, 2019      3:30 pm
Speaker: Joel Fish - UMass Boston

Abstract: I will discuss some recent joint work with Helmut Hofer, in which we define and establish properties of a new class of pseudoholomorhic curves (feral J-curves) to study certain...
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The Yang-Mills Equations over Klein Surfaces

GAUGE-TOPOLOGY-SYMPLECTIC

April 5, 2019      3:30 pm
Speaker: Melissa Liu - Columbia

Abstract: In "The Yang-Mills equations over Riemann surfaces", Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory, and derived results on...
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