scholarly journals Singular support of the global attractor for a damped BBM equation

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Jianhua Huang ◽  
◽  
Yanbin Tang ◽  
Ming Wang ◽  
◽  
...  
Author(s):  
Peter J. Olver

AbstractThe BBM or Regularized Long Wave Equation is shown to possess only three non-trivial independent conservation laws. In order to prove this result, a new theory of Euler-type operators in the formal calculus of variations will be developed in detail.


2021 ◽  
Vol 93 ◽  
pp. 168-177
Author(s):  
Junjun Wang ◽  
Meng Li ◽  
Mengping Jiang
Keyword(s):  

2017 ◽  
Vol 153 (9) ◽  
pp. 1908-1944
Author(s):  
David Ben-Zvi ◽  
David Nadler ◽  
Anatoly Preygel

We present a Langlands dual realization of the putative category of affine character sheaves. Namely, we calculate the categorical center and trace (also known as the Drinfeld center and trace, or categorical Hochschild cohomology and homology) of the affine Hecke category starting from its spectral presentation. The resulting categories comprise coherent sheaves on the commuting stack of local systems on the two-torus satisfying prescribed support conditions, in particular singular support conditions, which appear in recent advances in the geometric Langlands program. The key technical tools in our arguments are a new descent theory for coherent sheaves or ${\mathcal{D}}$-modules with prescribed singular support and the theory of integral transforms for coherent sheaves developed in the companion paper by Ben-Zvi et al. [Integral transforms for coherent sheaves, J. Eur. Math. Soc. (JEMS), to appear].


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