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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.NT2024
Honda-Tate theory for log abelian varieties over finite fields
Xiaoyu Zhang, Heer Zhao
In this article we study the Honda-Tate theory for log abelian varieties over an fs log point for a finite field, gene…