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Felix Schulze: Lectures

1/11/2022: Progress in singularity analysis for Lagrangian mean curvature flow in Calabi-Yau 2-folds 6/4/2018: Singularity formation in Lagrangian mean curvature flow > January 11, 2022 TITLE: Progress in singularity analysis for Lagrangian mean curvature flow in Calabi-Yau 2-folds ABSTRACT: Singularities in Lagrangian Mean Curvature flow in Calabi-Yau 2-folds are a promising tool to understand how […]

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Pranav Pandit: Lectures

6/7/2018: Gradient flows, iterated logarithms, and semistability 6/6/2018: Categorical Kähler Geometry June 7, 2018 TITLE: Gradient flows, iterated logarithms, and semistability ABSTRACT: The formalism of categorical Kähler geometry outlined in the previous lecture leads to the study of certain dynamical systems. A typical example is furnished by the Yang-Mills flow on the space of hermitian […]

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Alex Waldron: Lectures

9/8/2019: G2-instantons on the 7-sphere 6/4/2018 and 6/6/2018: Recent developments in Yang-Mills flow September 8, 2019 TITLE: G2-instantons on the 7-sphere ABSTRACT: I’ll discuss a forthcoming paper studying families of -instantons on , focusing on those which are obtained by pulling back asd instantons on via the quaternionic Hopf fibration. In the charge-1 case this […]

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Esther Cabezas-Rivas: Lectures

6/5/2018: Ricci Flow, non-negative curvatures & beyond 6/4/2018: The ABC of Ricci Flow June 5, 2018 TITLE: Ricci Flow, non-negative curvatures & beyond ABSTRACT: In order to use the Ricci flow to prove classification results in geometry and control the behaviour of solutions as times goes by, it is crucial to look for properties of […]

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Celso Viana: Lectures

6/5/2018: The evolution of the Whitney sphere along mean curvature flow June 7, 2018 TITLE: The evolution of the Whitney sphere along mean curvature flow ABSTRACT: In this talk we will be concern with the evolution of the Whitney sphere along the Lagrangian mean curvature flow. We show that equivariant Lagrangian spheres in Cn satisfying […]

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Anna Fino: Lectures

5/13/2024: Strong G2-structures with torsion 6/09/2022: An overview on closed G2-structures 9/10/2018: Compact 7-manifolds with closed G2-structures 6/5/2018: Laplacian flow and special metrics May 13, 2024 TITLE: Strong G2-structures with torsion ABSTRACT: A 7-manifold with a G_2-structure \varphi admits a G_2-connection with totally skew-symmetric torsion if and only if d * \varphi = \theta \wedge […]

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Chung-Jun Tsai: Lectures

6/7/2018: A strong stability condition on minimal submanifolds June 7, 2018 TITLE: A strong stability condition on minimal submanifolds ABSTRACT: It is well known that the distance function to a totally geodesic submanifold of a negatively curved ambient manifold is a convex function. We identify a strong stability condition on minimal submanifolds that generalizes the […]

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Rafe Mazzeo: Lectures

6/06/2022: An approach to analysis on stratified spaces, with a view toward spectral invariants 4/11/2018: Analysis of elliptic operators on complete spaces with asymptotically regular collapsing geometry 4/10/2018: The large-scale structure of the Hitchin moduli space June 6, 2022 TITLE: An approach to analysis on stratified spaces, with a view toward spectral invariants ABSTRACT: This […]

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Ruobing Zhang: Lectures

9/9/2021: Collapsing geometry of hyperkaehler manifolds in dimension four 4/12/2018: Gravitational collapsing of K3 surfaces II 4/9/2018: Quantitative nilpotent structure and regularity theorems of collapsed Einstein manifolds 4/9/2018: Introduction to Ricci curvature and the convergence theory September 9, 2021 TITLE: Collapsing geometry of hyperkaehler manifolds in dimension four ABSTRACT: We will overview some recent developments […]

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Jeff Viaclovsky: Lectures

April 11, 2018 TITLE: Gravitational collapsing of K3 surfaces I ABSTRACT: I will discuss a construction of collapsing sequences of Ricci-flat metrics on K3 surfaces with Tian-Yau and Taub-NUT metrics occurring as bubbles. This is joint work with Hans-Joachim Hein, Song Sun, and Ruobing Zhang. Lecture II will be given by Zhang. Slides of lecture […]

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