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ElectricMagnetic duality and the geometric Langlands program
, 2006
"... The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N = 4 super YangMills theory in four dimensions. The key ingredients are electricmagnetic duality of gauge theory, mirror symmetry of sigmamodels, branes, Wilson and ’t H ..."
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Cited by 294 (26 self)
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The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N = 4 super YangMills theory in four dimensions. The key ingredients are electricmagnetic duality of gauge theory, mirror symmetry of sigmamodels, branes, Wilson and ’t
Lectures on ElectricMagnetic Duality and the Geometric Langlands Program
, 2008
"... These lecture notes are based on the master class given at the Center for the Topology and Quantization of Moduli Spaces, University of Aarhus, August 2007. I provide an introduction to the recent work on the MontonenOlive duality of N = 4 superYangMills theory and the Geometric Langlands Progra ..."
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These lecture notes are based on the master class given at the Center for the Topology and Quantization of Moduli Spaces, University of Aarhus, August 2007. I provide an introduction to the recent work on the MontonenOlive duality of N = 4 superYangMills theory and the Geometric Langlands
Gauging Spacetime Symmetries On The Worldsheet And The Geometric Langlands Program
, 710
"... We study the twodimensional twisted (0, 2) sigmamodel on various smooth complex flag manifolds G/B, and explore its relevance to the geometric Langlands program. We find that an equivalence at the level of the holomorphic chiral algebra between a bosonic string on G/B and a Bgauged version of i ..."
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Cited by 2 (0 self)
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We study the twodimensional twisted (0, 2) sigmamodel on various smooth complex flag manifolds G/B, and explore its relevance to the geometric Langlands program. We find that an equivalence at the level of the holomorphic chiral algebra between a bosonic string on G/B and a Bgauged version
QuasiTopological Gauged Sigma Models, The Geometric Langlands Program, And Knots
"... We construct and study a closed, twodimensional, quasitopological (0, 2) gauged sigma model with target space a smooth Gmanifold, where G is any compact and connected Lie group. When the target space is a flag manifold of simple G, and the gauge group is a Cartan subgroup thereof, the perturbativ ..."
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Cited by 2 (0 self)
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, the perturbative model describes, purely physically, the recently formulated mathematical theory of “Twisted Chiral Differential Operators”. This paves the way, via a generalized Tduality, for a natural physical interpretation of the geometric Langlands correspondence for simplyconnected, simple, complex Lie
Dictionary of protein secondary structure: pattern recognition of hydrogenbonded and geometrical features
, 1983
"... For a successful analysis of the relation between amino acid sequence and protein structure, an unambiguous and physically meaningful definition of secondary structure is essential. We have developed a set of simple and physically motivated criteria for secondary structure, programmed as a patternr ..."
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Cited by 2096 (5 self)
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For a successful analysis of the relation between amino acid sequence and protein structure, an unambiguous and physically meaningful definition of secondary structure is essential. We have developed a set of simple and physically motivated criteria for secondary structure, programmed as a pattern
Distortion invariant object recognition in the dynamic link architecture
 IEEE TRANSACTIONS ON COMPUTERS
, 1993
"... We present an object recognition system based on the Dynamic Link Architecture, which is an extension to classical Artificial Neural Networks. The Dynamic Link Architecture exploits correlations in the finescale temporal structure of cellular signals in order to group neurons dynamically into hig ..."
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Cited by 637 (80 self)
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into higherorder entities. These entities represent a very rich structure and can code for high level objects. In order to demonstrate the capabilities of the Dynamic Link Architecture we implemented a program that can recognize human faces and other objects from video images. Memorized objects
Randomized Gossip Algorithms
 IEEE TRANSACTIONS ON INFORMATION THEORY
, 2006
"... Motivated by applications to sensor, peertopeer, and ad hoc networks, we study distributed algorithms, also known as gossip algorithms, for exchanging information and for computing in an arbitrarily connected network of nodes. The topology of such networks changes continuously as new nodes join a ..."
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Cited by 532 (5 self)
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stochastic matrix characterizing the algorithm. Designing the fastest gossip algorithm corresponds to minimizing this eigenvalue, which is a semidefinite program (SDP). In general, SDPs cannot be solved in a distributed fashion; however, exploiting problem structure, we propose a distributed subgradient
HARMONIC CHEEGERSIMONS CHARACTERS WITH APPLICATIONS
, 803
"... Abstract. We initiate the study of harmonic CheegerSimons characters, with applications to smooth versions of the Geometric Langlands program in the abelian case. ..."
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Cited by 2 (0 self)
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Abstract. We initiate the study of harmonic CheegerSimons characters, with applications to smooth versions of the Geometric Langlands program in the abelian case.
Representation theory, geometric Langlands duality and categorification
, 2014
"... The representation theory of reductive groups, such as the group GLn of invertible complex matrices, is an important topic, with applications to number theory, algebraic geometry, mathematical physics, and quantum topology. One way to study this representation theory is through the geometric Satak ..."
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Satake correspondence (also known as geometric Langlands duality). This correspondence relates the geometry of spaces called affine Grassmannians with the representation theory of reductive groups. This correspondence was originally developed from the viewpoint of the geometric Langlands program
Results 1  10
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