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Category Archives: Lectures
Andriy Haydys: Lectures
10/27/2020: Special Kähler and related geometries` 1/9/2020: On the blow up set for the Seiberg-Witten equations with two spinors 9/9/2018: Special Kaehler structures with isolated singularities in real dimension two 1/10/2018: Seiberg-Witten monopoles and flat PSL(2,R)-connections 9/14/2017: G₂-instantons and the Seiberg-Witten monopoles 9/8/2016: On degenerations of the Seiberg–Witten monopoles and G₂-instantons October 27, 2020 TITLE: […]
Thomas Walpuski: Lectures
03/17/2023: Progress and open problems around associative submanifolds 09/09/2021 and 09/14/2021: The Gopakumar-Vafa finiteness conjecture 10/30/2020: Problems with counting G2-instantons and associatives, and generalized Seiberg–Witten equations 09/16/2020: More examples of G_2–instantons on twisted connected sums 09/09/2018: Super-rigidity and Castelnuovo’s bound. 01/09/2018: On counting associative submanifolds and Seiberg–Witten monopoles 01/08/2018: Introduction to gauge theory on Riemannian […]
Jeff Cheeger: Lectures
4/10/2018: Curvature and injectivity radius estimates for Einstein 4-manifolds 9/9/2016: Ricci curvature: Some recent progress and open questions April 10, 2018 TITLE: Curvature and injectivity radius estimates for Einstein -manifolds ABSTRACT: We will review some old joint work with Gang Tian ([JAMS 2005]) on the structure of possibly collapsed Einstein -manifolds with a definite bound […]
Song Sun: Lectures
03/16/23: Singularity formations in Kahler geometry 09/09/22: Gravitational instantons and del Pezzo surfaces 09/12/21: Collapsing geometry of 4 dimensional hyperkahler manifolds, Part 2 01/07/20: Singular Hermitian-Yang-Mills connections and reflexive sheaves 04/09/19: Small complex structure limit of Calabi-Yau hypersurfaces 01/08/19 and 01/10/19: Degeneration of Calabi-Yau metrics under complex structure degenerations 09/13/18: Collapsing of hyperkahler metrics on […]
Simon Salamon: Lectures
9/2022: Spinors and instantons 9/13/2019: Twistor Spaces and Special Holonomy 9/10/2018: Generating equidistant points 4/13/2018: Automorphisms of Fano contact manifolds 9/10/2017: Quotients and hypersurfaces of model metrics 9/09/2016: Manifolds with holonomy Sp(n)Sp(1) September 2022 – LECTURE CANCELLED TITLE: Spinors and instantons ABSTRACT: Motivated in part by the existence of certain low-rank vector bundles on projective […]
Dave Morrison: Lectures
09/10/21: Non-Perturbative heterotic duals of M-Theory on G2 orbifolds 10/26/20: Nonabelian Gauge Symmetry in String Theory and its Cousins, including an Introduction to Branes 09/18/20: Codimension seven revisited 09/10/19: Nonabelian gauge symmetry and charged chiral matter in G2 compactifications 01/07/19: Degenerations of complex structures on K3 surfaces, following Kulikov, Persson, and Pinkham 01/07/19: Supersymmetric torus […]
Yng-Ing Lee: Lectures
6/03/2019: Survey of Lagrangian Mean Curvature Flow 9/07/2016: On the existence of Lagrangians with special properties June 3, 2019 TITLE: Survey of Lagrangian Mean Curvature Flow ABSTRACT: The mean curvature flow (MCF) of a compact Lagrangian submanifold in a Kahler-Einstein manifold will continue to be Lagrangian whenever the solution is smooth. It is called Lagrangian […]
Blaine Lawson: Lectures
9/08/2019: Pseudo-Convexity for the Special Lagrangian Potential Equation 9/2016: Pluripotential theory on calibrated manifolds 8 September 2019 TITLE: Pseudo-Convexity for the Special Lagrangian Potential Equation ABSTRACT: Please click to see abstract (PDF). Slides of lecture September 2016 – LECTURE CANCELLED TITLE: Pluripotential theory on calibrated manifolds ABSTRACT: A calibrated manifold carries a geometry of […]
Dominic Joyce: Lectures
03/17/2023: Enumerative invariants: what we did, and where to go next 01/10/2023: The structure of invariants counting coherent sheaves on complex surfaces 09/8/2022: Counting semistable coherent sheaves on surfaces 01/2021: Donaldson-Thomas theory of Calabi-Yau 3-folds 09/18/2020: Enumerative invariants in Algebraic Geometry and wall crossing formulae 06/01/2020: Universal structures in enumerative invariant theories 01/06/2020: Shifted symplectic […]
Mark Haskins: Lectures
09/7/2023: Recent developments in Laplacian flow 03/17/2023: Progress and open problems in the construction of G2 holonomy metrics 09/09/2021: Solitons in Bryant’s Laplacian flow 09/14/2020: Complete cohomogeneity one solitons for Bryant’s closed G2-Laplacian flow 09/12/2019: Recent Developments in Special and Exceptional Holonomy Metrics 06/03/2019: Overview of special Lagrangian construction methods 04/08/2019: Survey of Constructions of […]
