Mikio Sato: A Great Japanese Mathematician of the Twentieth Century

a₁ action assume automorphic automorphic forms automorphic representation b₁ B2RX boundary characteristic polynomial coefficients commutative compact conjecture consider coordinate Corollary corresponding crystal D-modules defined definition denote diagonal differential equations dual duality edges eigenvalues element elliptic ew h exponents finite formula function functor given GL(n Hecke algebra Hecke operators Hence hn.ord homomorphism implies induces integral isomorphism Kreg Lemma Lie algebra linear manifold Math matrix metric ribbon graph Möbius function modulation equation morphism operators orbifold p-adic P₁ Phys polynomial poset Proof Proposition q₁ quadratic quadratic differential representation Riemann surface satisfies Sato Schlesinger equation Section sequence singularities sinh solution space spectral curve Strebel differential subgroup subset Theorem theory vector vertex vertex model vertices w₁ weight system Weyl group Xmet მა