3 papers
math.NT2024
Automorphic side of Taylor-Wiles method for orthogonal and symplectic groups
Xiaoyu Zhang
The core of the Taylor-Wiles and Taylor-Wiles-Kisin method in proving modularity lifting theorems is the construction of Taylor-Wiles primes satisfying certain conditions relating…
math.NT2021
Hida theory for Shimura varieties of Hodge type
Xiaoyu Zhang
In this article, we generalize the work of H.Hida and V.Pilloni to construct -adic families of -ordinary modular forms on Shimura varieties of Hodge type associated…
math.NT2018
Special L-values and Selmer groups of Siegel modular forms of genus 2
Xiaoyu Zhang
Let be an odd prime, a square-free odd positive integer prime to , a -ordinary cohomological irreducible cuspidal automorphic representation of $\mathrm{GSp}_4(\m…