Format results
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Talk
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Talk
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Critical points and spectral curves
Nigel Hitchin University of Oxford
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Generalizing Quivers: Bows, Slings, Monowalls
Sergey Cherkis University of Arizona
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Nahm transformation for parabolic harmonic bundles on the projective line with regular residues
Szilard Szabo Budapest University of Technology and Economics
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A mathematical definition of 3d indices
Tudor Dimofte University of Edinburgh
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Perverse Hirzebruch y-genus of Higgs moduli spaces
Tamas Hausel Institute of Science and Technology Austria
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Motivic Classes for Moduli of Connections
Alexander Soibelman University of Southern California
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BPS algebras and twisted character varieties
Ben Davison University of Edinburgh
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Talk
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Formal derived stack and Formal localization
Michel Vaquie Laboratoire de Physique Théorique, IRSAMC, Université Paul Sabatier
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An overview of derived analytic geometry
Mauro Porta Institut de Mathématiques de Jussieu
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Categorification of shifted symplectic geometry using perverse sheaves
Dominic Joyce University of Oxford
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Shifted structures and quantization
Tony Pantev University of Pennsylvania
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What is the Todd class of an orbifold?
Andrei Caldararu University of Wisconsin–Madison
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Singular support of categories
Dima Arinkin University of Wisconsin-Milwaukee
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Symplectic and Lagrangian structures on mapping stacks
Theodore Spaide University of Vienna
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The Maslov cycle and the J-homomorphism
David Treumann Boston College
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Talk
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Welcome to “Mathematica Summer School”
Pedro Vieira Perimeter Institute for Theoretical Physics
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Mathematica School Lecture - 2015
Horacio Casini Bariloche Atomic Centre
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Quantum mechanics in the early universe
Juan Maldacena Institute for Advanced Study (IAS) - School of Natural Sciences (SNS)
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Mathematica School Lecture - 2015
Jason Harris Wolfram Research (United States)
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Ground state entanglement and tensor networks
Guifre Vidal Alphabet (United States)
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Quantum mechanics in the early universe
Juan Maldacena Institute for Advanced Study (IAS) - School of Natural Sciences (SNS)
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Mathematica School Lecture - 2015
Pedro Vieira Perimeter Institute for Theoretical Physics
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Holographic entanglement entropy
Robert Myers Perimeter Institute for Theoretical Physics
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On BRST Complexes coming from 4d N=2 SCFTs
Niklas Garner University of Washington
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String Theory for Mathematicians - Kevin Costello
String Theory for Mathematicians - Kevin Costello -
Hitchin Systems in Mathematics and Physics
Hitchin Systems in Mathematics and Physics
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Deformation Quantization of Shifted Poisson Structures
Deformation Quantization of Shifted Poisson Structures
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Birational King's Conjecture and Global Coherent Constructible Correspondence
Jessie HuangIn this talk, I will discuss a birational realization of King's conjecture which is indeed true, and its connections with noncommutative algebraic geometry and mirror symmetry. In particular, I will also establish the A-side analog of this result using constructible sheaves and promote the celebrated Coherent-Constructible Correspondence to a global family. The talk is based on recent joint work https://arxiv.org/abs/2501.00130 and work in preparation with David Favero.
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Quantum groups from cohomological Donaldson-Thomas theory
In 2010, Kontsevich and Soibelman defined Cohomological Hall Algebras for quivers and potential as a mathematical construction of the algebra of BPS states. These algebras are modeled on the cohomology of vanishing cycles, which makes these algebras particularly hard to study but often result in interesting algebraic structures. A deformation of a particular case of them gives rise to a positive half of Maulik-Okounkov Yangians. The goal of my talk is to give an introduction to these ideas and explain how for the case of tripled cyclic quiver with canonical cubic potential, this algebra turns out to be one-half of the universal enveloping algebra of the Lie algebra of matrix differential operators on the torus, while its deformation turn out be one half of an explicit integral form of the Affine Yangian of gl(n).
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On BRST Complexes coming from 4d N=2 SCFTs
Niklas Garner University of Washington
Vertex operator algebras (VOAs) arise in many corners of supersymmetric quantum field theory. One particularly influential instance is in 4d N=2 superconformal field theories, whereby the VOA is realized as the cohomology of a suitable supercharge. Unitarity of the underlying SCFT imposes strong constraints on the structure of the resulting VOA. In this talk, I will describe one aspect of how the unitary of the underlying SCFT constrains this VOA: in the context of superconformal gauge theories, the resulting BRST complex shares a striking resemblance to the de Rham complex of a compact Kähler manifolds. I will finish with several consequences of this observation, e.g. the formality of these BRST complexes as in the work of Deligne-Griffiths-Morgan-Sullivan on compact Kähler manifold. This is based on work in progress with C. Beem.
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