- Hecke algebras and local Langlands correspondence for non-singular depth-zero representations
2024/11/29 by Maarten Solleveld, Solleveld, Maarten, Yujie Xu +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Automorphic form #Black Holes and Theoretical Physics #Langlands program #Linguistics #Mathematics #Philosophy #Pure mathematics #Zero (linguistics)
- A general framework for the analytic Langlands correspondence
2023/11/07 by Pavel Etingof, Edward Frenkel, Etingof, Pavel +3 · 4 citations
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Automorphic form #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Field (mathematics) #High Energy Physics - Theory (hep-th) #Langlands program #Linguistics #Mathematics #Number Theory (math.NT) #Philosophy #Physics #Pure mathematics #Quantum mechanics #Representation Theory (math.RT) #Spectrum (functional analysis) #Zero (linguistics)
- Level-raising and symmetric power functoriality, I
2014/03/26 by Laurent Clozel, Jack A. Thorne · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic number field #Automorphic L-function #Automorphic form #Field (mathematics) #Finite Group Theory Research #Langlands program #Mathematics #Pure mathematics #Representation (politics) #Tensor product
- Functoriality for the Classical Groups over Function Fields
2009/06/25 by Luis Lomelí · 2 citations
Mathematics · #Advanced Algebra and Geometry #Finite Group Theory Research #Analytic Number Theory Research #Mathematics #Ramanujan's sum #Converse theorem #Conjecture #Pure mathematics #Converse #Langlands program #Lift (data mining) #Algebra over a field #Classical group #Automorphic form #Langlands dual group #Field (mathematics) #Lie group #Geometry #Computer science
- Lectures on the Langlands Program and Conformal Field Theory
2007/07/17 by Edward Frenkel · 3 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebra over a field #Automorphic form #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Duality (order theory) #Gauge theory #Geometry #Langlands dual group #Langlands program #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #S-duality #String theory #Theoretical physics
- Geometric Langlands duality and representations of algebraic groups over commutative rings
2007/07/01 by Ivan Mirković, Kari Vilonen · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Mathematics #Langlands dual group #Langlands program #Duality (order theory) #Pure mathematics #Algebra over a field #Algebraic number #Automorphic form #Mathematical analysis #Conjecture
- Electric-magnetic duality and the geometric Langlands program
2007/01/01 by Anton Kapustin, Edward Witten · 9 citations
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Advanced Algebra and Geometry #Langlands program #Langlands dual group #Duality (order theory) #Mathematics #Pure mathematics #Conjecture
- The Local Langlands Conjecture for GL(2)
2006/01/01 by Colin J. Bushnell, Guy Henniart · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Artificial intelligence #Bijection #Class (philosophy) #Class field theory #Combinatorics #Computer science #Conjecture #Field (mathematics) #Geometry #Group (periodic table) #Langlands dual group #Langlands program #Local field #Mathematical analysis #Mathematics #Multiplicative function #Multiplicative group #Physics #Pure mathematics
- Mirror symmetry, Langlands duality, and the Hitchin system
2002/05/23 by Tamas Hausel, Tam�s Hausel, Michael Thaddeus · 5 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Computation #Computer science #Dual (grammatical number) #Duality (order theory) #Geometry #Langlands dual group #Langlands program #Linguistics #Mathematics #Mirror symmetry #Pure mathematics #Space (punctuation) #Symmetry (geometry) #hep-th #math-ph #math.AG #math.DG #math.MP #msc:14D21 #msc:14H40 #msc:14H60 #msc:14H70 #msc:32S35
- Langlands' Functoriality and the Weil Representation
1982/06/01 by Stephen Rallis · 13 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Automorphic form #Conjecture #Langlands dual group #Langlands program #Mathematics #Pure mathematics #Representation (politics)