3 papers
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…
math.NT2025
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.RT2024
Second adjointness and cuspidal supports at the categorical level
Yuta Takaya
We prove the second adjointness in the setting of the categorical local Langlands correspondence. Moreover, we study the relation between Eisenstein series and cuspidal supports an…