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Category Archives: Lectures
James Sparks: Lectures
10/27/2020: GK geometry October 27, 2020 TITLE: GK geometry ABSTRACT: Slides of Lecture
Du Pei: Lectures
9/27/2020: Branes in moduli spaces of Higgs bundles, II October 27, 2020 TITLE: Branes in moduli spaces of Higgs bundles, II ABSTRACT: Slides of Lecture
Craig Lawrie: Lectures
10/29/2020: G2, Spin(7) BPS Equations and T-branes October 29, 2020 TITLE: G2, Spin(7) BPS Equations and T-branes ABSTRACT: Slides of Lecture
Laura Fredrickson: Lectures
10/27/2020: Branes in the moduli spaces of Higgs bundles, I October 27, 2020 TITLE: Branes in the moduli spaces of Higgs bundles, I ABSTRACT: Slides of Lecture
Lara Anderson: Lectures
05/25/2021: SU(3)-Holonomy and SU(3)-Structure metrics from Machine Learning 10/26/2020: Higgs Bundles in String Compactifications May 25, 2021 TITLE: SU(3)-Holonomy and SU(3)-Structure metrics from Machine Learning ABSTRACT: I will review recent progress using machine learning to approximate Calabi-Yau and SU(3)-structure metrics, including for the first time complex structure moduli dependence. These methods are demonstrated for Calabi-Yau […]
Gianluca Zoccarato: Lectures
09/16/2020: Unification of Higgs Bundles September 16, 2020 (jointly with Mirjam Cvetic) TITLE: Unification of Higgs Bundles ABSTRACT: We introduce a program to study compactifications of M-/F-theory on spaces with G2 and Spin(7) holonomy, which results in N=1 supersymmetry in four- and three-dimensions, respectively, by studying the world-volume gauge dynamics of Higgs bundles, which are […]
Justin Sawon: Lectures
09/10/2023: Lagrangian fibrations in four and six dimensions 06/2020: Singular fibres of holomorphic Lagrangian fibrations September 10, 2023 TITLE: Lagrangian fibrations in four and six dimensions ABSTRACT: We consider Lagrangian fibrations by abelian surfaces and threefolds over the complex projective plane and threespace, respectively, with total space holomorphic symplectic manifolds or varieties. We recall some […]
Antoine Bourget: Lectures
1/10/2022: Magnetic Quivers for Singular HyperKähler Spaces 6/2020: Hasse diagrams for Symplectic Singularities via Magnetic Quivers January 10, 2022 TITLE: Magnetic Quivers for Singular HyperKähler Spaces ABSTRACT: In this talk, following the introduction of 3d N=4 Coulomb branches in Nakajima’s lecture, I present the concept of abstract magnetic quiver to describe singular hyperKähler spaces. This […]
Roger Bielawski: Lectures
Recorded June 2020 TITLE: Twistor spaces and hyperkahler metrics ABSTRACT: I discuss several questions about twistor spaces of hyperkaehler manifolds: multiple components of the Kodaira moduli space of sections; differential geometry of spaces of sections which include sections with “wrong” normal bundle; and (pseudo-)hyperkaehler metrics arising on Hilbert schemes of higher degrees curves in a […]
Claire Voisin: Lectures
Recorded June 2020: Hodge theory and the topology of hyper-Kähler manifolds: an introduction 06/03/2020: Polarized variations of Hodge structures of hyper-Kähler type Recorded June 2020 TITLE: Hodge theory and the topology of hyper-Kähler manifolds: an introduction ABSTRACT: After a short discussion of hyper-Kähler manifolds in the Riemannian and complex geometry contexts, I discuss the general […]
