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Shigeru Mukai: Lectures
January 9, 2019 TITLE: Prime Fano 3-folds and BN-general K3s ABSTRACT: Fano 3-folds with 2nd Betti number one are classified into 17 deformation types. The anti-canonical degree 2g-2 and the 3rd Betti number 2p are their basic numerical invariants. The sum g+p varies from 12 to 54, and the minimum 12 is attained in 3 […]
Diego Matessi: Lectures
01/07/2019: Polarized tropical manifolds and Lagrangian torus fibrations 01/09/2019: Conifold transitions and deformations of polarized tropical manifolds January 7, 2019 TITLE: Polarized tropical manifolds and Lagrangian torus fibrations ABSTRACT: I will review the notion of polarized tropical manifolds which are the basic combinatorial objects in the Gross-Siebert program. These can be viewed as the basis […]
Michele Del Zotto: Lectures
4/09/2019: Selected topics about 5d theories and geometry 1/11/2019: Aspects of 5d SCFTs and their gauge theory phases April 9, 2019 TITLE: Selected topics about 5d theories and geometry ABSTRACT: January 11, 2019 TITLE: Aspects of 5d SCFTs and their gauge theory phases ABSTRACT: In this talk I will revist the geometric engineering of five-dimensional […]
Sébastien Boucksom: Lectures
January 8, 2019 and January 9, 2019 TITLE: The essential skeleton of a Calabi-Yau degeneration ABSTRACT: To any meromorphic degeneration of complex projective varieties corresponds a projective variety over the field of Laurent series, and hence a non-Archimedean analytic space in the sense of Berkovich. This applies in particular to a degeneration of polarized Calabi-Yau […]
Kael Dixon: Lectures
9/16/2020: Toric ALC G_2 manifolds 9/14/2018: Asymptotic properties of toric G2 manifolds September 16, 2020 TITLE: Toric ALC G_2 manifolds GIven an asymptotically conical Calabi-Yau 3-fold, certain circle bundles over it each admit a family of ALC torsion-free G_2 structures by the work of Foscolo-Haskins-Nordstrom. We show that when the Calabi-Yau manifold is toric, then […]
Markus Upmeier: Lectures
September 11, 2018 TITLE: Canonical Orientations for the Moduli Space of G2-instantons ABSTRACT: The moduli space of anti-self-dual connections for 4-manifolds has been generalized by Donaldson-Segal to special, higher-dimensional geometries. I will discuss a technique for fixing canonical orientations on these moduli spaces in dimension 7 and for the gauge group SU(n). These orientations depend […]
Yuuji Tanaka: Lectures
3/14/2022: A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications 9/10/2018: On the Vafa-Witten theory on closed four-manifolds March 14, 2023 TITLE: A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications ABSTRACT: I’ll talk about a blowup formula for sheaf-theoretic virtual enumerative invariants on projective […]
Hans-Joachim Hein: Lectures
6/06/2022: Asymptotically conical Calabi-Yau manifolds 5/25/2021: The renormalized volume of a 4-dimensional Ricci-flat ALE space 9/10/2018: Higher-order estimates for collapsing Calabi-Yau metrics June 6, 2022 TITLE: Asymptotically conical Calabi-Yau manifolds ABSTRACT: In this talk I will report on the recent conclusion of an old project aiming to classify all complete non-compact Calabi-Yau manifolds asymptotic to […]
Toby Wiseman: Lectures
6/4/2018: Some applications of Ricci flow in physics June 4, 2018 TITLE: Some applications of Ricci flow in physics ABSTRACT: I will review two areas where Ricci flow makes contact with physics. Firstly I will review how Ricci flow arises from the renormalisation group equations of 2d `sigma models’ (I will try to explain what […]
Lu Wang: Lectures
9/11/2023: A mean curvature flow approach to density of minimal cones 6/7/2018: Properties of self-similar solutions of mean curvature flow September 11, 2023 TITLE: A mean curvature flow approach to density of minimal cones ABSTRACT: Minimal cones are models for singularities in minimal submanifolds, as well as stationary solutions to the mean curvature flow. In […]
