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Pavel Safronov: Lectures

01/07/2020: Enumerative invariants from supersymmetric twists January 7, 2020 TITLE: Enumerative invariants from supersymmetric twists ABSTRACT: I will recall the notion of supersymmetric twisting to obtain a topological field theory from a supersymmetric one. I will work through some examples in dimensions 7 and 8 to explain the appearance of the problem of counting Spin(7)-instantons […]

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Geometry and Analysis of Moduli Spaces, Imperial College, 6-10 January 2020

Arrival Date: Sunday January 5, 2020. Departure Date: Saturday January 11, 2020. All talks will be at Huxley Bldg 140.  [ click for map ] Registration and coffee/tea are in the Huxley 5th floor common room. Scientific Organizers: Dominic Joyce joyce@maths.ox.ac.uk, Aleksander Doan doan@math.columbia.edu. Timetable MON 6 JAN TUE 7 JAN WED 8 JAN THU […]

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Albrecht Klemm: Lectures

September 11, 2019 TITLE: CY 3-folds over finite fields, Black hole attractors, and D-brane masses ABSTRACT: The integer coefficients of the numerator of the Hasse-Weil Zeta function for one parameter Calabi-Yau 3-folds are expected to be Hecke eigenvalues of Siegel modular forms. For rigid CY 3-folds as well as at conifold — and rank two […]

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Cumrun Vafa: Lectures

11/09/2019: Stringy Predictions for Our Universe (Simons Foundation Lecture) 11/09/2019: G2 Structure and Physical Interpretation of Taubes Construction of SW Invariants September 11, 2019 TITLE: Stringy Predictions for Our Universe (Simons Foundation Lecture) ABSTRACT:  Over the last few decades, string theory has emerged as a consistent, unified quantum theory of all the particles and forces. […]

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Andrei Moroianu: Lectures

September 10, 2019 TITLE: Toric nearly Kähler 6-manifolds ABSTRACT: Nearly Kähler manifolds are a particular class of almost Hermitian manifolds in the Gray-Hervella classification, but for several reasons they are mostly relevant in dimension 6, where (normalized, strict) nearly Kähler 6-manifolds can be characterized by the fact that their metric cone has holonomy contained in […]

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Chris Hull: Lectures

September 10, 2019 TITLE: Special Holonomy Metrics, Degenerate Limits and Intersecting Branes ABSTRACT: The starting point for this talk is the degenerate limit of K3 constructed by Hein, Sun, Viaclovsky and Zhang, with a long neck that can be thought of as a 3-dimensional nilmanifold fibred over a line, with gravitational instanton insertions. Special holonomy […]

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Brian Willett: Lectures

September 9, 2019 TITLE: Global aspects of the 3d-3d correspondence ABSTRACT: We discuss various aspects of the 3d supersymmetric quantum field theories obtained by compactifying a stack of M5 branes on a three-manifold, arising in the so-called “3d-3d correspondence.” In particular, we emphasize the role of higher-form symmetries of the M5 brane theory, which provide […]

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Nelvis Fornasin: Lectures

September 9, 2019 TITLE: The eta invariant under cone-edge degeneration ABSTRACT: I will discuss an analytic approach to the computation of the \bar\nu invariant introduced by Crowley, Goette and Nordström. The \bar\nu invariant is made up of \eta invariants: following work by Sher, I will talk about the behaviour of these invariants under cone-edge degeneration […]

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Ronan Conlon: Lectures

5/15/2024: A family of Kahler flying wing steady Ricci solitons 9/09/2019: Classification results for expanding and shrinking gradient Kähler-Ricci solitons May 14, 2024 TITLE: A family of Kahler flying wing steady Ricci solitons ABSTRACT: Steady Kahler-Ricci solitons are eternal solutions of the Kahler-Ricci flow. I will present new examples of such solitons with strictly positive […]

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Amihay Hanany: Lectures

September 9, 2019 TITLE: Hasse diagrams for symplectic singularities ABSTRACT: Symplectic singularities appear in physics as the so called Higgs branches and Coulomb branches of supersymmetric gauge theories. They naturally form a structure of symplectic leaves with a partial order that can be depicted by a Hasse diagram. The physical interpretation of this geometric structure […]

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