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Mathematics
[1846]
Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups
Wei Zhang
Columbia university
Number Theory
mathscidoc:1703.24014
Distinguished Paper Award in 2017
Annals of Mathematics, 180, (3), 971--1049, 2014
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By the relative trace formula approach of Jacquet–Rallis, we prove the global Gan– Gross–Prasad conjecture for unitary groups under some local restrictions for the automor- phic representations.
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[1847]
Automorphisms and invariant states of operator algebras
Erling Størmer
Mathematical Institute, University of Oslo
TBD
mathscidoc:1701.331405
Acta Mathematica, 127, (1), 1-9, 1969.11
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1
Burkhard Kummerer. Markov dilations on W∗-algebras. 1985.
2
Hoeghkrohn R, Landstad M B, Stormer E, et al. Compact ergodic groups of automorphisms[J]. Annals of Mathematics, 1980, 114(1).
3
Loebl R I, Muhly P S. Analyticity and Flows in Von Neumann Algebras[J]. Journal of Functional Analysis, 1978, 29(2): 214-252.
4
Erling Stormer. Spectra of ergodic transformations. 1974.
5
Driessler W. On the type of local algebras in quantum field theory[J]. Communications in Mathematical Physics, 1977, 53(3): 295-297.
6
Longo R. Notes on algebraic invariants for noncommutative dynamical systems[J]. Communications in Mathematical Physics, 1979, 69(3): 195-207.
7
Stormer E. Spectra of states, and asymptotically abelian C*-algebras[J]. Communications in Mathematical Physics, 1972, 28(4): 279-294.
8
Duvenhage R. Relatively independent joinings and subsystems of W*-dynamical systems[J]. Studia Mathematica, 2010, 209(1): 21-41.
9
Halpern H. Unitary implementation of automorphism groups on von Neumann algebras[J]. Communications in Mathematical Physics, 1972, 25(4): 253-275.
10
Michael Lorenz. Über mehrdimensionale singuläre Integraloperatoren und Pseudomultiplikationsoperatoren nicht normalen Typs. 1976.
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[1848]
Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions, II
Serge Alinhac
Département de Mathématiques Université Paris-Sud, Université Paris-Sud
TBD
mathscidoc:1701.331862
Acta Mathematica, 182, (1), 1-23, 1997.10
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[1849]
On the convergence almost everywhere of double Fourier series
Per Sjölin
Department of Mathematics, University of Stockholm
TBD
mathscidoc:1701.332425
Arkiv for Matematik, 14, (1), 1-8, 1975.2
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[1850]
Iwasawa Main Conjecture for Non-ordinary Modular Forms
Xin Wan
Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Science
Number Theory
mathscidoc:1703.24010
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Under mild assumptions, we prove the Iwasawa main conjecture for a cuspidal eigenform at a good prime p.
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