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Scalar Curvature and Intrinsic Flat Convergence

CMSA GENERAL RELATIVITY SEMINAR

November 6, 2019      10:30 am
Speaker: Christina Sormani - CUNY

After reviewing the definition of intrinsic flat convergence, I will present open problems on the almost rigidity or stability of classic rigidity theorems for manifolds with scalar curvature bounds and...
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The Gauss curvature flow – the shape of worn stones

DIFFERENTIAL GEOMETRY

November 5, 2019      4:15 pm
Speaker: Kyeongsu Choi - MIT

The Gauss curvature flow was introduced to model the shape of worn stones. It is a parabolic Monge-Ampere type flow for convex hypersurfaces, involving regularity issues for fully nonlinear equations...
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Special loci of rank one local systems

HARVARD-MIT ALGEBRAIC GEOMETRY

November 5, 2019      3:00 pm

Joint with Moritz Kerz. We show a structure theorem on those loci which enables us to deduce several consequences, one of which being Hard Lefschetz in rank one in positive...
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TBA

GAUGE-TOPOLOGY-SYMPLECTIC

November 1, 2019      3:30 pm
Speaker: Ko Honda - UCLA

Abstract: TBA
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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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