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math.SG2025
Some incarnations of Hamiltonian reduction in symplectic geometry and geometric representation theory
Peter Crooks, Xiang Gao, Mitchell Pound +1
In this expository note, we give a self-contained introduction to some modern incarnations of Hamiltonian reduction. Particular emphasis is placed on applications to symplectic geo…
math.NT2025
Dynamical systems defined by polynomials with algebraic properties
Shigeki Akiyama, Xiang Gao, Teturo Kamae
Let (x_n; n\in Z) be a bisequence of elements x_n in the 1-dimensional torus R/Z, which is called a stream over R/Z. Let P(z)=a_k z^k+...+a_1 z+a_0 be a polynomial with integer coe…