Ordinary forms and their local Galois representations
... The representation ρ encapsulates important information about the form - for instance the Fourier coefficients of the form occur as traces of the images of Frobenius elements under ρ, at least outside a finite set of primes. In recent years the local properties of such modular Galois representations ...
... The representation ρ encapsulates important information about the form - for instance the Fourier coefficients of the form occur as traces of the images of Frobenius elements under ρ, at least outside a finite set of primes. In recent years the local properties of such modular Galois representations ...
Thursday HW Notes - Fordson High School
... Theorem: The graph of the equation ___________________ is a parabola _________________ to the graph of ________ The graph of every quadratic function is a ______________________ with a y-intercept at ____. The __________________ of all quadratic functions has a domain of ____________________________ ...
... Theorem: The graph of the equation ___________________ is a parabola _________________ to the graph of ________ The graph of every quadratic function is a ______________________ with a y-intercept at ____. The __________________ of all quadratic functions has a domain of ____________________________ ...
Full text
... Our motivation for this problem arose from counting certain finite topologies as described below. If j is any point in a finite topological space, let N (j) be the intersection of all open sets containing j. Corollary. Let T be the set of topologies τ on n such that the basis {N (j) : j ∈ n} consist ...
... Our motivation for this problem arose from counting certain finite topologies as described below. If j is any point in a finite topological space, let N (j) be the intersection of all open sets containing j. Corollary. Let T be the set of topologies τ on n such that the basis {N (j) : j ∈ n} consist ...
(Vertex) Colorings
... Critical graphs One way to prove that G can not be properly colored with k − 1 colors is to find a subgraph H of G that requires k colors. How small can this subgraph be? Definition: A graph G is called critical if for every proper subgraph H G , then χ(H) < χ(G ). Theorem 2.1.2: Every graph G cont ...
... Critical graphs One way to prove that G can not be properly colored with k − 1 colors is to find a subgraph H of G that requires k colors. How small can this subgraph be? Definition: A graph G is called critical if for every proper subgraph H G , then χ(H) < χ(G ). Theorem 2.1.2: Every graph G cont ...
