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  1. Abstract In this article, we improve our main results from [LL21] in two directions: First, we allow ramified places in the CM extension $E/F$ at which we consider representations that are spherical with respect to a certain special maximal compact subgroup, by formulating and proving an analogue of the Kudla–Rapoport conjecture for exotic smooth Rapoport–Zink spaces. Second, we lift the restriction on the components at split places of the automorphic representation, by proving a more general vanishing result on certain cohomology of integral models of unitary Shimura varieties with Drinfeld level structures. 
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  2. Abstract

    In recent years, there has been a substantial surge in the investigation of transition‐metal dichalcogenides such as MoS2as a promising electrochemical catalyst. Inspired by denitrification enzymes such as nitrate reductase and nitrite reductase, the electrochemical nitrate reduction catalyzed by MoS2with varying local atomic structures is reported. It is demonstrated that the hydrothermally synthesized MoS2containing sulfur vacancies behaves as promising catalysts for electrochemical denitrification. With copper doping at less than 9% atomic ratio, the selectivity of denitrification to dinitrogen in the products can be effectively improved. X‐ray absorption characterizations suggest that two sulfur vacancies are associated with one copper dopant in the MoS2skeleton. DFT calculation confirms that copper dopants replace three adjacent Mo atoms to form a trigonal defect‐enriched region, introducing an exposed Mo reaction center that coordinates with Cu atom to increase N2selectivity. Apart from the higher activity and selectivity, the Cu‐doped MoS2also demonstrates remarkably improved tolerance toward oxygen poisoning at high oxygen concentration. Finally, Cu‐doped MoS2based catalysts exhibit very low specific energy consumption during the electrochemical denitrification process, paving the way for potential scale‐up operations.

     
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  3. null (Ed.)