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Category Archives: Lectures
Shing-Tung Yau: Lectures
11/09/2020: Existence of Canonical Metrics on Non-Kähler Geometry (Simons Foundation Lecture) 11/08/2019: String duality and G2 manifolds September 9, 2020 TITLE: Existence of Canonical Metrics on Non-Kähler Geometry, (Simons Foundation Lecture) ABSTRACT: In this lecture, Shing-Tung Yau will give a survey on the existence of canonical balanced metrics on non-Kähler complex manifolds through the Hull-Strominger […]
Magdalena Larfors: Lectures
September 8, 2019 TITLE: Heterotic string theory and G2 structure manifolds ABSTRACT: Please click to see abstract (PDF). Slides of lecture
Costante Bellettini: Lectures
June 7, 2019 TITLE 1: Analysis of singular sets in geometric analysis TITLE 2: Analysis of singular sets in calibrated geometric analysis ABSTRACT: I will give an overview of known regularity results for area minimizing currents and their (known or potential) applications to problems in calibrated geometry. In the first talk I will focus on […]
Yanki Lekili: Lectures
June 4, 2019 TITLE: Homological mirror symmetry for higher dimensional pants ABSTRACT: Any Riemann surface can be glued together from pairs-of-pants. This provides a way of proving homological mirror symmetry for Riemann surfaces by first constructing a mirror to a single pair-of-pants and then categorically gluing several copies. A theorem of Mikhalkin says that complex […]
Eric Zaslow: Lectures
June 6, 2019 TITLE: Graphs, Lagrangians and Open Gromov-Witten Conjectures ABSTRACT: This talk picks up on the one of David Treumann, describing our joint work. A trivalent graph on a sphere defines a higher-genus Legendrian surface in complex three-space. This Legendrian serves as a boundary condition for Lagrangian Fukaya objects, equivalently as a singular support […]
David Treumann: Lectures
June 6, 2019 TITLE: Constructible sheaves and Lagrangian cones ABSTRACT: The Kashiwara-Schapira theory of singular support for constructible sheaves, which I will assume is not familiar to anyone, can be used to attach a triangulated category to a Lagrangian cone in R2n. I’ll describe the categories you get for some examples in R2, R4, and […]
Progress and Open Problems 2019: September 8-11, 2019, SCGP, Stony Brook
Arrival date: Saturday, September 7. Departure date: Wednesday afternoon, September 11, or Thursday, September 12. Schedule: SUN 8 SEP MON 9 SEP TUES 10 SEP WED 11 SEP 8:30 -9:30 Breakfast Breakfast Breakfast Breakfast 9:30-10:30 B. Lawson A. Hanany C. Hull C. Vafa 10:30-11:00 Coffee/tea Coffee/tea Coffee/tea Coffee/tea 11:00-12:00 M. Larfors R. Conlon G. Ball […]
Jake Solomon: Lectures
June 3, 2019 TITLE: Geodesics in the space of positive Lagrangian submanifolds ABSTRACT: It is a problem of fundamental importance in symplectic geometry to determine when a Lagrangian submanifold of a Calabi-Yau manifold can be moved by Hamiltonian flow to a special Lagrangian. I will describe an approach to this problem based on the geometry […]
Yohsuke Imagi: Lectures
June 4, 2019 TITLE:On Thomas-Yau’s Uniqueness Theorem ABSTRACT: Thomas-Yau’s seminal work on Fukaya categories and special Lagrangians includes a uniqueness theorem for special Lagrangians of a fixed isomorphism-class in the derived Fukaya category; which will be explained with an outline of the proof, including a later contribution made by Dominic Joyce, Joana Oliveira dos Santos […]
Mohammed Abouzaid: Lectures
09/10/2021: Lagrangian fibrations from the perspective of Floer theory 06/04/2019: On nearby special Lagrangians September 10, 2021 TITLE: Lagrangian fibrations from the perspective of Floer theory ABSTRACT: While the construction of special Lagrangian fibrations remains largely open in higher dimensions, we have achieved significant progress in the last decade in constructing singular Lagrangian fibrations on […]
