Abstract：In this talk we first introduce the attempts of Rapoport, Scholze and Scholze-Shin to extend the Langlands-Kottwitz method of describing etale cohomology of Shimura varieties to cases of bad reduction (in which the level structure could be arbitrary and the local group could be non-quasi-split). In their approach, the problem is reduced to certain conjectures on orbital integrals and ...
AbstractStandard research strategies for non-Hermitian systems include using the single-particle paradigm and incorporating non-Hermitian terms into existing Hermitian Hamiltonians. It can be challenging to directly design non-Hermitian many-body models that exhibit unique features not found in Hermitian systems. In this talk, we introduce a new method to construct non-Hermitian many-body syste...
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