Shu Sasaki

activity

20042020

collaborators

4 papers

math.NT2020

A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties: Splicing and dicing

Fred Diamond, Payman Kassaei, Shu Sasaki

We consider Hilbert modular varieties in characteristic p with Iwahori level at p and construct a geometric Jacquet-Langlands relation showing that the irreducible components are i…

math.NT2018

$p$ -adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou

Kazim Büyükboduk, Robert Pollack, Shu Sasaki

Let $p$ be an odd prime. Given an imaginary quadratic field $K = Q (- D_{K})$ where $p$ splits with $D_{K} > 3$ , and a $p$ -ordinary newform $f \in S_{k} (Γ_{0} (N))$ such that $N$ …

math.NT2017

A Serre weight conjecture for geometric Hilbert modular forms in characteristic p

Fred Diamond, Shu Sasaki

Let p be a prime and F a totally real field in which p is unramified. We consider mod p Hilbert modular forms for F, defined as sections of automorphic line bundles on Hilbert modu…

math-ph2004

Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations

Takashi Aoki, Takahiro Kawai, Shunsuke Sasaki +2

For a higher order linear ordinary differential operator P, its Stokes curve bifurcates in general when it hits another turning point of P. This phenomenon is most neatly understan…

A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties: Splicing and dicing

p-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou

A Serre weight conjecture for geometric Hilbert modular forms in characteristic p

Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations

$p$ -adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou