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Ragini Singhal: Lectures
January 14, 2022 TITLE: Deformations of G2-instantons on nearly G2 manifolds ABSTRACT: We will talk about the deformation theory of instantons on manifolds with a nearly parallel G2-structure. We formulate the deformation theory in terms of spinors and Dirac operators and prove that the space of infinitesimal deformations of an instanton is isomorphic to the […]
Nikita Nekrasov: Lectures
January 12, 2022 TITLE: Some progress in unification of enumerative and differential geometry and quantization(s) ABSTRACT: In the first part of the talk I will review the recent progress in our attempts to approach the hyperkahler geometry of the 3d Coulomb branches through the localization computations in 4d gauge theories (based on the joint work with […]
Jan Manschot: Lectures
January 12, 2022 TITLE: Topological correlators of N=2* Yang-Mills theory ABSTRACT: N=2* Yang-Mills theory is a mass deformation of N=4 Yang-Mills, which preserves N=2 supersymmetry. I will consider the topological twist of this theory with gauge group SU(2) on a smooth, compact four-manifold X. A consistent formulation requires coupling of the theory to a Spin-c […]
Martijn Kool: Lectures
January 12, 2022 TITLE: Counting surfaces on Calabi-Yau fourfolds ABSTRACT: On the sheaf side, there are two well-known ways to count curves on threefolds: via 1-dimensional subschemes (DT theory) and via stable pairs (PT theory). We show that for surfaces on fourfolds there are three theories: 2-dimensional subschemes and two types of stable pairs. Using Oh-Thomas/Borisov-Joyce, this […]
Andrew Dancer: Lectures
January 10, 2022 TITLE: Hyperkahler implosions and symplectic duality ABSTRACT: We present candidates for magnetic quivers for the universal hyperkahler implosion for special unitary groups, that is, quivers whose associated Coulomb branch gives the implosion space. We also discuss the orthosymplectic case. Slides of Lecture
Shih-Kai Chiu: Lectures
5/16/2024: Special Lagrangians in K3-fibered Calabi-Yau 3-folds 1/11/2022: Rigidity of Calabi-Yau metrics with maximal volume growth May 16, 2024 TITLE: Special Lagrangians in K3-fibered Calabi-Yau 3-folds ABSTRACT: Slides of Lecture January 11, 2022 TITLE: Rigidity of Calabi-Yau metrics with maximal volume growth ABSTRACT: Calabi-Yau manifolds with maximal volume growth can be seen as 1) higher […]
Benjamin Aslan: Lectures
January 13, 2022 TITLE: Transverse J-holomorpic curves in nearly Kähler CP^3 ABSTRACT: Nearly Kähler manifolds in dimension six are certain almost Hermitian manifolds which admit a real Killing spinor, meaning they are Einstein manifolds. The most famous example is the round six-sphere but CP^3 also carries a nearly Kähler structure. J-holomorphic curves in nearly Kähler […]
Fabian Lehmann: Lectures
9/08/2022: An embedding problem for closed 3-forms on 5-manifolds 9/13/2021: Non-compact Spin(7)-manifolds September 8, 2022 TITLE: An embedding problem for closed 3-forms on 5-manifolds ABSTRACT: The real part of a holomorphic volume form restricts to a closed 3-form on a 5-dimensional submanifold of a complex 3-fold with a Calabi-Yau structure. Vice versa, in analogy with […]
Max Hübner: Lectures
3/15/2023: Living on the Edge: Interfaces of SCFTs with G2-Orbifolds 9/13/2022: Generalized Symmetries and Compact Models 9/9/2022: Higher Symmetries via Cutting and Gluing of Orbifolds 6/8/2022: Getting High on Gluing Orbifolds (Part II) 9/13/2021: Higgs Bundles for G2 Manifolds and Brane/Particle Probes March 15, 2023 TITLE: Living on the Edge: Interfaces of SCFTs with G2-Orbifolds […]
Jingxiang Wu: Lectures
3/15/2023: 3-manifolds and modular tensor categories 9/13/2021: On the Vafa-Witten theory on closed four-manifolds March 15, 2023 TITLE: 3-manifolds and modular tensor categories ABSTRACT: I will report on some progress in understanding a novel correspondence between modular tensor categories (MTC) and 3-manifolds. In particular, it has been conjectured that to any Seifert manifold M3 with […]
