Format results
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Variation of Hodge Structure for Generalized Complex Manifolds
David Baraglia - University of Adelaide
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Killing-Yano Symmetry: New Results and Applications
David Kubiznak - Charles University
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Flat Bundles and Grassmann Framings
Jacques Hurtubise - McGill University
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A Geometric Framework for Integrable Systems
Chuu-Lian Terng - University of California, Irvine
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A Theorem of Existence for Asymptotically Conical Calabi-Yau Manifolds
Ronan Conlon - McMaster University
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Curvature Flows in Complex Geometry
Gang Tian - Princeton University
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Recent Progress in Compact G2 Manifolds
Mark Haskins - Imperial College London
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The 1/N Expansion in Random Tensor Models
Razvan Gurau - Universität Heidelberg
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Constructing co-Higgs Bundles in Higher Dimensions
Steven Rayan - University of Saskatchewan
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SKT Geometry
In classical terms, an SKT structure is a Hermitian structure for which the Hermitian 2-form is closed with respect to the second order operator ddc. These structures arise naturally in the study of sigma models with (2; 0) or (2; 1)-supersymmetries, much like generalized Kahler structures arise in… -
Variation of Hodge Structure for Generalized Complex Manifolds
David Baraglia - University of Adelaide
Generalized complex manifolds, like complex manifolds, admit a decomposition of the bundle of di erential forms. When an analogue of the @ @ lemma holds there is a corresponding Hodge decomposition in twisted cohomology. We look at some aspects of this decomposition, in particular its behavior… -
Killing-Yano Symmetry: New Results and Applications
David Kubiznak - Charles University
After introducing Killing-Yano tensors and their basic properties, I will concentrate on their applications to black hole physics. Namely, I will focus on two topics: i) symmetries of the Dirac operator in curved background and ii) generalized Killing-Yano tensors in the presence of skew-symmetric… -
Flat Bundles and Grassmann Framings
Jacques Hurtubise - McGill University
When considering flat unitary bundles on a punctured Riemann surface, it is often convenient to have a space that includes all possible holonomies around the punctures; such a space is provided by the extended moduli space of Jeffrey. On the other hand, there are certain inconveniences, in… -
A Geometric Framework for Integrable Systems
Chuu-Lian Terng - University of California, Irvine
I will discuss some joint work with K. Uhlenbeck. There is a general method for constructing soliton hierarchies from a splitting of Lie algebras. We explain how formal scattering and inverse scattering, Hamiltonian structures, commuting conservation laws, Backlund transformations, tau functions… -
A Theorem of Existence for Asymptotically Conical Calabi-Yau Manifolds
Ronan Conlon - McMaster University
Asymptotically conical (AC) Calabi-Yau manifolds are Ricci-at Kahler manifolds that resemble a Ricci-at Kahler cone at infinity. I will describe an existence theorem for AC Calabi-Yau manifolds which, in particular, yields a refinement of an existence theorem of Tian and Yau for such manifolds. I… -
Curvature Flows in Complex Geometry
Gang Tian - Princeton University
In this talk, I will discuss my recent works with J. Streets on curvature ows on Hermitian manifolds and show how they can be used to study generalized Kahler manifolds. I will also show how they are related to the renormalization group ow coupled with B- elds. Some open problems will be discussed… -
Recent Progress in Compact G2 Manifolds
Mark Haskins - Imperial College London
This talk will give a survey of some recent developments on the construction and classification of compact manifolds with holonomy G2 and their calibrated submanifolds. After reviewing previous work we concentrate on the following three developments: (a) the construction of many new compact G2… -
SYZ Mirror Symmetry
Conan Leung - Chinese University of Hong Kong
In this talk I will explain the Strominger-Yau-Zaslow mirror conjecture and recent progress in the toric case. -
The 1/N Expansion in Random Tensor Models
Razvan Gurau - Universität Heidelberg
Matrix models yield a theory of random two dimensional surfaces. They support a 1/N expansion dominated by planar graphs (corresponding to planar surfaces) and undergo a phase transition to a continuum theory. In higher dimensions matrix models generalize to tensor models. In the absence of a viable… -
Constructing co-Higgs Bundles in Higher Dimensions
Steven Rayan - University of Saskatchewan
I will outline a couple of constructions of co-Higgs bundles, which are holomorphic vector bundles with Higgs fields taking values in the tangent bundle. One reason why these objects are interesting is that they are precisely the generalized holomorphic bundles on an ordinary complex manifold… -
Minimal Area Surfaces, Riemann Theta Functions, and Integrability of Wilson Loops
Martin Kruczenski - Purdue University
In this talk I will review recent results we obtained regarding the computation of Wilson loops in the context of the AdS/CFT correspondence. According to such correspondence Wilson loops are related to minimal area surfaces in hyperbolic space. The problem reduces to solving a set of non-linear but…