State of Alaska v. Native Village of Tanana: Enhancing Tribal Power by Affirming Concurrent Tribal Jurisdiction to Initiate ICWA Defined Child Custody Proceedings, Both Inside and Outside of Indian Country

This Article provides an overview of the significant cases that have defined state-tribal relations in Alaska as related to Indian child proceedings and further discusses various policies that have been implemented over time. After outlining these cases and shifting policies, the Article examines the current state of the law in Alaska with a focus on State v. Native Village of Tanana, which clarified confusion regarding the inherent jurisdiction held by federally recognized Alaska Native tribes to initiate the Indian Child Welfare Act (ICWA)-defined child custody proceedings. Finally, the Article discusses those jurisdictional questions left unresolved by Tanana to be decided at a later time under specific factual circumstances

On distribution formulas for complex and ℓ\ell-adic polylogarithms

We study an $\ell$-adic Galois analogue of the distribution formulas for polylogarithms with special emphasis on path dependency and arithmetic behaviors. As a goal, we obtain a notion of certain universal Kummer-Heisenberg measures that enable interpolating the $\ell$-adic polylogarithmic distribution relations for all degrees.Comment: This article has appeared in the proceedings volume "Periods in Quantum Field Theory and Arithmetic" (J.~Burgos Gil, K.~Ebrahimi-Fard, H.~Gangl eds), [Conference proceedings ICMAT-MZV 2014] Springer Proceedings in Mathematics \& Statistics {\bf 314} (2020), pp.593--61

Stringy orbifolds

Recently, there is an explosive growth of activities to understand stringy properties of orbifolds. In this article, we survey some of recent developments.Comment: A survery article written for the Proceedings of Workshop on Mathematical Aspect of Orbifold String Theor