7 citations · 14 across the 10 of their papers we have counts for
10 papers
Eigenvariety for partially classical Hilbert modular forms
Mladen Dimitrov, Chi-Yun Hsu
For each subset of primes in a totally real field above a rational prime , there is the notion of partially classical Hilbert modular forms, where the empty set recovers the ove…
A note on the stabilizer formalism via noncommutative graphs
Roy Araiza, Jihong Cai, Yushan Chen +5
In this short note we formulate a stabilizer formalism in the language of noncommutative graphs. The classes of noncommutative graphs we consider are obtained via unitary represent…
Derived -adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna -adic -function
Francesc Castella, Chi-Yun Hsu, Debanjana Kundu +2
Let be an elliptic curve and let be an odd prime of good reduction for . Let be an imaginary quadratic field satisfying the classical Heegner hypothesis a…
Mock theta functions and related combinatorics
Cristina Ballantine, Hannah E. Burson, Amanda Folsom +3
In this paper we add to the literature on the combinatorial nature of the mock theta functions, a collection of curious -hypergeometric series introduced by Ramanujan in his las…
On a Partition Identity of Lehmer
Cristina Ballantine, Hannah E. Burson, Amanda Folsom +3
Euler's identity equates the number of partitions of any non-negative integer n into odd parts and the number of partitions of n into distinct parts. Beck conjectured and Andrews p…
Partial Classicality of Hilbert Modular Forms
Chi-Yun Hsu
Let F be a totally real field and p a rational prime unramified in F. We prove a partial classicality theorem for overconvergent Hilbert modular forms: when the slope is small comp…
Euler Systems for
Chi-Yun Hsu, Zhaorong Jin, Ryotaro Sakamoto
For a non-endoscopic cohomological cuspidal automorphic representation of , assumed to be -ordinary, we construct an Euler system for the Ga…
Fourier coefficients of the overconvergent generalized eigenform associated to a CM form
Chi-Yun Hsu
Let f be a modular form with complex multiplication. If f has critical slope, then Coleman's classicality theorem implies that there is a p-adic overconvergent generalized Hecke ei…
Ramification of Hilbert eigenvarieties at classical points
Chi-Yun Hsu
Andreatta-Iovita-Pilloni constructed eigenvarieties for cuspidal Hilbert modular forms. The eigenvariety has a natural map to the weight space, called the weight map. At a classica…
Shimura varieties at level and Galois representations
Ana Caraiani, Daniel R. Gulotta, Chi-Yun Hsu +4
We show that the compactly supported cohomology of certain or -Shimura varieties with -level vanishes above the middle degree. The…