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Category Archives: Lectures
Fei Yan: Lectures
January 13, 2021 TITLE: Line defects, UV-IR map and exact WKB ABSTRACT: In this talk I’ll give an overview of the relations between class S theories and Hitchin systems, focusing on roles played by line defects in class S theories. Deforming onto the Coulomb branch triggers a UV-IR map for line defects, corresponding to a […]
Ivan Smith: Lectures
January 11, 2021 TITLE: Quadratic differentials as stability conditions ABSTRACT: Consider a quasi-projective Calabi-Yau 3-fold which is an affine conic fibration over a two-dimensional surface. I will explain why the space of stability conditions on (a subcategory of) its Fukaya category can be understood in terms of meromorphic quadratic differentials on the surface. This talk […]
Brent Pym: Lectures
January 11, 2021 TITLE: Introduction to Stokes phenomena and resurgence Slides of Lecture
Marcos Mariño: Lectures
January 12, 2021 TITLE: From resurgence to topological strings ABSTRACT: The theory of resurgence suggests that the perturbative series that we often calculate in physics and mathematics are the tip of the iceberg in an extended structure, involving generalized formal power series (also called trans-series), and relations between them, encoded in Stokes constants. In topological […]
Maxim Kontsevich: Lectures
1/13/2022: Enumerative invariants and not so special holonomy 1/12/2021: Analyticity and resurgence January 13, 2022 TITLE: Enumerative invariants and not so special holonomy ABSTRACT: There exists a physically motivated BPS counting in various geometric situations associated with special holonomy. The counting is usually robust and depends only on the connected component of the moduli spaces […]
Ioana-Alexandra Coman: Lectures
January 15, 2021 TITLE: Geometric description of topological string partition functions from quantum curves and integrability ABSTRACT: I will give a progress update on work relating topological string partition functions Ztop for a class of supersymmetric gauge theories to quantum Seiberg-Witten curves through integrability. In particular, I will discuss a geometric characterisation of the Ztop […]
Tom Bridgeland: Lectures
01/10/2023: Clusters and twistors 01/11/2021, 01/13/2021, and 01/14/2021: From Donaldson-Thomas invariants to complex hyperkahler structures (3 lecture series) January 10, 2023 TITLE: Clusters and twistors ABSTRACT: Given an ADE quiver Q I will explain how to construct a complex manifold Z with a map to P1 whose fibre over 0 is the stability space of […]
Fabian Haiden: Lectures
Recorded lecture associated with the January 2021 meeting TITLE: Introduction to Bridgeland stability ABSTRACT: The lecture provides a first introduction to triangulated categories and stability conditions on them. The motivation for such notions is discussed from the perspective of (homological) mirror symmetry. Slides of Lecture
Donaldson-Thomas invariants and Resurgence, virtual meeting online, 11-15 January 2021
The collaboration will hold a VIRTUAL meeting on 11-15 January, 2021, entitled “Donaldson-Thomas invariants and Resurgence”. Scientific Organizers: Dominic Joyce, Simon Salamon, and Sakura Schafer-Nameki. Summary: 3-Calabi-Yau triangulated categories T are a major area of research in Geometry and String Theory. Examples include derived categories Dbcoh X of coherent sheaves and the derived Fukaya category […]
Special Holonomy and Branes (AIM workshop)
The collaboration co-sponsored a workshop with the American Institute of Mathematics (AIM) on Special Holonomy and Branes on October 26-30 2020. The workshop was organized by Sergei Gukov, Rafe Mazzeo, and Sakura Schafer-Nameki. The workshop featured extensive discussions as well as lectures; we have preserved the lectures on this website. The entire conference was held […]
