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Category Archives: Lectures
Adam Jacob: Lectures
June 9, 2017 TITLE: Hermitian Yang Mills connections on reflexive sheaves Slides of Lecture https://www4.math.duke.edu/SCSHGAP/201706091130-Jacob.mp4
Alexei Kovalev: Lectures
June 7, 2017 TITLE: Constructing compact, holonomy Spin(7) manifolds as generalised connected sums Slides of lecture https://www4.math.duke.edu/SCSHGAP/201706071130-Kovalev.mp4
Andreas Braun: Lectures
3/15/2023: Geometrizing Domain Walls in 5D SCFTs 10/26/2020: Higgs Bundles & Exceptional Holonomy 4/09/2019: Spin7 Connected Sums and String Theory Dualities 1/10/2019: Exceptional Holonomy, String Duality and Vector Bundles 9/14/2017: Mirror Symmetry for G2 manifolds 6/17/2017: Mirror Symmetry for G2 manifolds (see arXiv:1701.05202) March 15, 2023 TITLE: Geometrizing Domain Walls in 5D SCFTs ABSTRACT: Five-dimensional […]
Jason Lotay: Lectures
5/13/2024: G2-instantons, the heterotic G2 system and generalized geometry 9/7/2023: Joyce conjectures for the Lagrangian mean curvature flow of surfaces 3/16/2023: Geometric flows and special holonomy: past, present and future 9/13/2022: Neck pinches in Lagrangian mean curvature flow 9/10/2021: Some remarks on contact Calabi-Yau 7-manifolds 10/26/2020: Special holonomy and branes: observations and themes 9/18/2020: Deformed […]
Spiro Karigiannis: Lectures
June 5, 2017 TITLE: Constructing compact G2 manifolds by resolving (Calabi-Yau 3-fold x S1)/Z2 ABSTRACT: I will give an overview of the proof of a new construction of compact ~manifolds (joint work with Dominic Joyce). We resolve ()/ by glueing in a family of Eguchi–Hanson spaces parametrized by the singular set, two copies of a […]
Tristan Collins: Lectures
03/16/23: Some aspects of Sasaki-Einstein geometry and AdS/CFT 09/12/21: Calabi-Yau manifolds through conifold transitions 01/10/17: Sasaki-Einstein metrics and K-Stability March 16, 2023 TITLE: Some aspects of Sasaki-Einstein geometry and AdS/CFT ABSTRACT: Sasaki-Einstein manifolds play an important role in the AdS/CFT correspondence. In this talk I will highlight some of the ways that AdS/CFT leads to […]
Dietmar Salamon: Lectures
01/11/2017: An open-closed isomorphism in instanton Floer homology 01/11/2017: Adiabatic limits in gauge theory January 11, 2017 TITLE: An open-closed isomorphism in instanton Floer homology ABSTRACT: The talk explains a proof that the SU(2) instanton Floer homology of a 3-manifold with boundary, equipped with a Lagrangian boundary condition associated to a handlebody, is naturally isomorphic […]
Mark Gross: Lectures
01/07/19 and 01/08/19: From SYZ to GS 01/10/17: Gromov-Hausdorff collapse for abelian fibred Calabi-Yau varieties January 7, 2019 and January 8, 2019 TITLE: From SYZ to GS ABSTRACT: Starting from the Strominger-Yau-Zaslow conjecture of 1996, I will attempt to explain how the differential geometric ideas of that conjecture evolved into the current algebro-geometric and tropical […]
Gilles Carron: Lectures
01/09/2017: Collapsing spaces with special holonomy with bounded or very small curvature 01/09/2017: Introduction to Riemannian collapse with bounded curvature January 9, 2017 TITLE: Collapsing spaces with special holonomy with bounded or very small curvature ABSTRACT: We will survey the works of G. Chen, X-X. Chen and V. Minerbe about gravitational instantons whose curvature have […]
Joel Fine: Lectures
9/12/2023: Knot invariants from hyperbolic, SU(3) and G_2 geometries 9/13/2017: Hypersymplectic 4-manifolds and the G2 Laplacian flow 1/9/2017: Adiabatic limits and constant scalar curvature Kähler metrics September 12, 2023 TITLE: Knot invariants from hyperbolic, SU(3) and G_2 geometries ABSTRACT: I will describe a conjectural programme for defining invariants of knots or links in the 3-sphere. […]
