The State of External Law\u27s Effect on the Arbitration Process. III. A Commentary on the External Law Papers and IV. Panel Discussion

Marilyn Teitelbaum: I think I have the best of all worlds because I can read these great papers, without having to prepare one of my own, and like all lawyers I like to talk. So, I can share my views, that sometimes diverge from both of the views just presented, particularly the view from the management perspective. In one part of Ted St. Antoine’s paper that was not discussed with you today, he says that the external law question may be a “tempest in a tea pot.” My words would be similar—“much ado about nothing.” I think there is a fairly easy way to deal with the problem. I, as representative of “the union,” used to be the one that was always trying to bring in external law. I still do that, but now I do it in a different way. I agree that the arbitrator’s authority comes from the contract and I try to make things easier for the arbitrators by not asking them to decide external law as such. But, if I want the law to be considered, I word the issue in a way that I can argue external law under the contract. For example, if it’s an NLRA violation, I may define the issue as, “Did the employer violate the collective bargaining agreement by unilaterally changing the terms and conditions of employment?” Or if it’s a discharge case involving sex or race discrimination, “Did the employer violate the just cause clause of the contract by discharging the grievant because of her sex.

Inverse-designed diamond photonics

Diamond hosts optically active color centers with great promise in quantum computation, networking, and sensing. Realization of such applications is contingent upon the integration of color centers into photonic circuits. However, current diamond quantum optics experiments are restricted to single devices and few quantum emitters because fabrication constraints limit device functionalities, thus precluding color center integrated photonic circuits. In this work, we utilize inverse design methods to overcome constraints of cutting-edge diamond nanofabrication methods and fabricate compact and robust diamond devices with unique specifications. Our design method leverages advanced optimization techniques to search the full parameter space for fabricable device designs. We experimentally demonstrate inverse-designed photonic free-space interfaces as well as their scalable integration with two vastly different devices: classical photonic crystal cavities and inverse-designed waveguide-splitters. The multi-device integration capability and performance of our inverse-designed diamond platform represents a critical advancement toward integrated diamond quantum optical circuits

Four problems regarding representable functors

Let $R$, $S$ be two rings, $C$ an $R$-coring and ${}_{R}^C{\mathcal M}$ the category of left $C$-comodules. The category ${\bf Rep}\, ( {}_{R}^C{\mathcal M}, {}_{S}{\mathcal M} )$ of all representable functors ${}_{R}^C{\mathcal M} \to {}_{S}{\mathcal M}$ is shown to be equivalent to the opposite of the category ${}_{R}^C{\mathcal M}_S$. For $U$ an $(S,R)$-bimodule we give necessary and sufficient conditions for the induction functor $U\otimes_R - : {}_{R}^C\mathcal{M} \to {}_{S}\mathcal{M}$ to be: a representable functor, an equivalence of categories, a separable or a Frobenius functor. The latter results generalize and unify the classical theorems of Morita for categories of modules over rings and the more recent theorems obtained by Brezinski, Caenepeel et al. for categories of comodules over corings.Comment: 16 pages, the second versio