9 citations · 23 across the 9 of their papers we have counts for
10 papers
On the rationality of algebraic monodromy groups of compatible systems
Chun Yin Hui
Let be a number field and a smooth geometrically connected variety defined over a characteristic finite field. Given an -dimensional pure -compatible system of se…
Maximality of Galois actions for abelian and hyperkahler varieties
Chun Yin Hui, Michael Larsen
Let be the system of -adic representations arising from the th -adic cohomology of a complete smooth variety defined over a number field . L…
Geometric monodromy -- semisimplicity and maximality
Anna Cadoret, Chun Yin Hui, Akio Tamagawa
Let be a connected scheme, smooth and separated over an algebraically closed field of characteristic , let be a smooth proper morphism and a…
The abelian part of a compatible system and l-independence of the Tate conjecture
Chun Yin Hui
Let K be a number field and {V_l} be a rational strictly compatible system of semisimple Galois representations of K arising from geometry. Let G_l and V_l^ab be respectively the a…
Invariant dimensions and maximality of geometric monodromy action
Chun Yin Hui
Let X be a smooth separated geometrically connected variety over F_q and f:Y-> X a smooth projective morphism. We compare the invariant dimensions of the l-adic representation V_l…
The Waring problem for Lie groups and Chevalley groups
Chun Yin Hui, Michael Larsen, Aner Shalev
The classical Waring problem deals with expressing every natural number as a sum of g(k) k-th powers. Similar problems were recently studied in group theory, where we aim to presen…
Adelic openness without the Mumford-Tate conjecture
Chun Yin Hui, Michael Larsen
Let be a non-singular projective variety over a number field , a non-negative integer, and $V_{\A}$, the etale cohomology of with coefficients in the ring of fi…
l-independence for Compatible Systems of (mod l) Representations
Chun Yin Hui
Let K be a number field. For any system of semisimple mod l Galois representations {ϕ_l:Gal_K->GL_N(F_l)} arising from étale cohomology, there exists a finite normal extension L of…
Type A Images of Galois Representations and Maximality
Chun Yin Hui, Michael Larsen
Given a compatible system of n-dimension l-adic Galois representations arising from étale cohomology of any complete, non-singular variety, we prove that for sufficiently large pri…
Diophantine Equations of Matching Games I
Chun Yin Hui, Wai Yan Pong
We solve a family of quadratic Diophantine equations associated to a simple kind of games. We show that the ternary case, in many ways, is the most interesting and the least arbitr…