3 papers
math.NT2026
On depth-zero integral models of local Shimura varieties
Yuta Takaya
We specify explicit affinoids in depth-zero local Shimura varieties whose reductions are parabolic Deligne-Lusztig varieties, and construct explicit Jacquet-Langlands pairs of regu…
math.NT2026
Relative representability and parahoric level structures
Yuta Takaya
We establish a representability criterion of -sheaf theoretic modifications of formal schemes and apply this criterion to moduli spaces of parahoric level structures on local sh…
math.RT2026
Categorification of local relative Langlands duality
Yuta Takaya, Milton Lin
We formulate the normalized period conjecture proposed by Ben-Zvi, Sakellaridis and Venkatesh in the framework of the categorical local Langlands correspondence and study its relat…