7 papers
Derived geometric Satake equivalence on the Beilinson-Drinfeld Grassmannian with one leg in mixed characteristic
Katsuyuki Bando
Fargues-Scholze developed a framework for the geometric Langlands program on the Fargues-Fontaine curve. In particular, they proved the geometric Satake equivalence on the moduli s…
On the Complexity of Interpolation by Polynomials with Non-negative Real Coefficients
Katsuyuki Bando, Eitetsu Ken, Hirotaka Onuki
In this paper, we consider interpolation by \textit{completely monotonous} polynomials (CMPs for short), that is, polynomials with non-negative real coefficients. In particular, gi…
Derived Satake category and Affine Hecke category in mixed characteristics
Katsuyuki Bando
We construct a new affine Grassmannian which connects an equal characteristic affine Grassmannian and Zhu's Witt vector affine Grassmannian. As a result, we deduce the mixed charac…
Two monoidal structures on Satake category in mixed characteristic
Katsuyuki Bando
Fargues and Scholze proved the geometric Satake equivalence over the Fargues-Fontaine curve. This can be transferred to the geometric Satake equivalence concerning a Witt vector af…
Relation between the two geometric Satake equivalence via nearby cycle
Katsuyuki Bando
Fargues and Scholze proved the geometric Satake equivalence over the Fargues--Fontaine curve. On the other hand, Zhu proved the geometric Satake equivalence using a Witt vector aff…
Geometric Satake equivalence in mixed characteristic and Springer correspondence
Katsuyuki Bando
The geometric Satake equivalence and the Springer correspondence are closely related when restricting to small representations of the Langlands dual group. We prove this result for…