MathVideos.org
  • Seminars
    • Algebra
      • Associative Rings
        • Ariki-Koike Algebras
        • Cluster Algebras
        • Group Rings
        • Hecke Algebras
        • KLR Algebras
        • Schur Algebras
      • Commutative Algebra
      • Fusion Systems
      • Group Theory
        • Abelian Groups
        • Algebraic Groups
        • Combinatorial Group Theory
        • Computational Group Theory
        • Finite Groups
        • Geometric Group Theory
        • Infinite Groups
        • Lie Groups
        • Permutation Groups
      • Lie Theory
        • Algebraic Groups
        • Lie Algebras
        • Lie Groups
        • p-Adic Groups
        • Representations of Algebraic Groups
      • Non-Associative Algebras
        • Jordan and Axial Algebras
        • Lie Algebras
        • Other Non-Associative Rings
      • Representation Theory
        • Geometric Representation Theory
        • Representations of Algebraic Groups
        • Representations of Finite Groups
        • Representations of Lie Algebras
        • Representations of Symmetric Groups
      • Semigroups
    • Analysis
      • Complex Analysis
      • Functional Analysis
      • Harmonic Analysis
    • Category Theory
      • Derived Categories
      • Higher Category Theory
      • Triangulated Categories
    • Combinatorics
      • Additive Combinatorics
      • Algebraic Combinatorics
      • Extremal Combinatorics
      • Graph Theory
    • Geometry
      • Algebraic Geometry
        • Birational Geometry
      • Differential Geometry
      • Discrete Geometry
      • Non-Commutative Geometry
      • Symplectic Geometry
    • Logic
    • Mathematical Finance
    • Mathematical Physics
    • Number Theory
      • Additive Number Theory
      • Analytic Number Theory
      • Algebraic Number Theory
      • Computational Number Theory
      • Diophantine Equations
      • Diophantine Geometry
      • Number Theory and Forms
      • Probabilistic Number Theory
    • Optimization
    • Probability Theory
    • Topology
      • Algebraic Topology
      • Analytic Topology
      • Differential Topology
      • Dynamical Systems
      • Geometric Topology
  • Short Courses
    • Algebra
    • Analysis
    • Category Theory
    • Combinatorics
    • Geometry
    • Mathematical Physics
    • Number Theory
    • Probability Theory
    • Topology
  • Lecture Courses
    • Algebra
    • Analysis
    • Category Theory
    • Combinatorics
    • Geometry
    • Mathematical Physics
    • Number Theory
    • Probability Theory
    • Topology
  • ···
    MathVideos.org
    • Seminars
      • Algebra
        • Associative Rings
          • Ariki-Koike Algebras
          • Cluster Algebras
          • Group Rings
          • Hecke Algebras
          • KLR Algebras
          • Schur Algebras
        • Commutative Algebra
        • Fusion Systems
        • Group Theory
          • Abelian Groups
          • Algebraic Groups
          • Combinatorial Group Theory
          • Computational Group Theory
          • Finite Groups
          • Geometric Group Theory
          • Infinite Groups
          • Lie Groups
          • Permutation Groups
        • Lie Theory
          • Algebraic Groups
          • Lie Algebras
          • Lie Groups
          • p-Adic Groups
          • Representations of Algebraic Groups
        • Non-Associative Algebras
          • Jordan and Axial Algebras
          • Lie Algebras
          • Other Non-Associative Rings
        • Representation Theory
          • Geometric Representation Theory
          • Representations of Algebraic Groups
          • Representations of Finite Groups
          • Representations of Lie Algebras
          • Representations of Symmetric Groups
        • Semigroups
      • Analysis
        • Complex Analysis
        • Functional Analysis
        • Harmonic Analysis
      • Category Theory
        • Derived Categories
        • Higher Category Theory
        • Triangulated Categories
      • Combinatorics
        • Additive Combinatorics
        • Algebraic Combinatorics
        • Extremal Combinatorics
        • Graph Theory
      • Geometry
        • Algebraic Geometry
          • Birational Geometry
        • Differential Geometry
        • Discrete Geometry
        • Non-Commutative Geometry
        • Symplectic Geometry
      • Logic
      • Mathematical Finance
      • Mathematical Physics
      • Number Theory
        • Additive Number Theory
        • Analytic Number Theory
        • Algebraic Number Theory
        • Computational Number Theory
        • Diophantine Equations
        • Diophantine Geometry
        • Number Theory and Forms
        • Probabilistic Number Theory
      • Optimization
      • Probability Theory
      • Topology
        • Algebraic Topology
        • Analytic Topology
        • Differential Topology
        • Dynamical Systems
        • Geometric Topology
    • Short Courses
      • Algebra
      • Analysis
      • Category Theory
      • Combinatorics
      • Geometry
      • Mathematical Physics
      • Number Theory
      • Probability Theory
      • Topology
    • Lecture Courses
      • Algebra
      • Analysis
      • Category Theory
      • Combinatorics
      • Geometry
      • Mathematical Physics
      • Number Theory
      • Probability Theory
      • Topology
    • ···
      MathVideos.org
      • Seminars
        • Algebra
          • Associative Rings
            • Ariki-Koike Algebras
            • Cluster Algebras
            • Group Rings
            • Hecke Algebras
            • KLR Algebras
            • Schur Algebras
          • Commutative Algebra
          • Fusion Systems
          • Group Theory
            • Abelian Groups
            • Algebraic Groups
            • Combinatorial Group Theory
            • Computational Group Theory
            • Finite Groups
            • Geometric Group Theory
            • Infinite Groups
            • Lie Groups
            • Permutation Groups
          • Lie Theory
            • Algebraic Groups
            • Lie Algebras
            • Lie Groups
            • p-Adic Groups
            • Representations of Algebraic Groups
          • Non-Associative Algebras
            • Jordan and Axial Algebras
            • Lie Algebras
            • Other Non-Associative Rings
          • Representation Theory
            • Geometric Representation Theory
            • Representations of Algebraic Groups
            • Representations of Finite Groups
            • Representations of Lie Algebras
            • Representations of Symmetric Groups
          • Semigroups
        • Analysis
          • Complex Analysis
          • Functional Analysis
          • Harmonic Analysis
        • Category Theory
          • Derived Categories
          • Higher Category Theory
          • Triangulated Categories
        • Combinatorics
          • Additive Combinatorics
          • Algebraic Combinatorics
          • Extremal Combinatorics
          • Graph Theory
        • Geometry
          • Algebraic Geometry
            • Birational Geometry
          • Differential Geometry
          • Discrete Geometry
          • Non-Commutative Geometry
          • Symplectic Geometry
        • Logic
        • Mathematical Finance
        • Mathematical Physics
        • Number Theory
          • Additive Number Theory
          • Analytic Number Theory
          • Algebraic Number Theory
          • Computational Number Theory
          • Diophantine Equations
          • Diophantine Geometry
          • Number Theory and Forms
          • Probabilistic Number Theory
        • Optimization
        • Probability Theory
        • Topology
          • Algebraic Topology
          • Analytic Topology
          • Differential Topology
          • Dynamical Systems
          • Geometric Topology
      • Short Courses
        • Algebra
        • Analysis
        • Category Theory
        • Combinatorics
        • Geometry
        • Mathematical Physics
        • Number Theory
        • Probability Theory
        • Topology
      • Lecture Courses
        • Algebra
        • Analysis
        • Category Theory
        • Combinatorics
        • Geometry
        • Mathematical Physics
        • Number Theory
        • Probability Theory
        • Topology

      Yuri Bilu: Trinomials, singular moduli and Riffaut’s conjecture

      11th June, 2020
      Watch LaterRemove Cinema Mode

      Riffaut (2019) conjectured that a singular modulus of degree h>2 cannot be a root of a trinomial with rational coefficients. We show that this conjecture follows from the GRH, and obtain partial unconditional results. A joint work with Florian Luca and Amalia Pizarro.

      This talk relates to this arXiv paper.

      This video is part of the Number Theory Web Seminar series.

      Arithmetic geometry Diophantine geometry Number theory

      You may also like

      David Yang: Local geometric langlands and affine Beilinson-Bernstein localization at the critical level

      28th August, 2023

      Sarah Peluse: An asymptotic version of the prime power conjecture for perfect difference sets

      10th September, 2020

      Jared Weinstein: Moduli spaces of shtukas over function fields

      13th February, 2020

      Mina Aganagic: Mathematical applications of little string theory

      29th April, 2017

      Thomas Bloom: Breaking the logarithmic barrier in Roth’s theorem on progressions

      10th July, 2020

      Timothy Browning: Polynomials over ℤ and ℚ: counting and freeness

      31st October, 2022

      In ‘Seminars’

      • Algebra
      • Analysis
      • Category Theory
      • Combinatorics
      • Geometry
      • Logic
      • Mathematical Physics
      • Number Theory
      • Probability Theory
      • Topology

      About MathVideos

      MathVideos attempts to produce a catalogue of all research-level seminar and course videos from across the Internet. Started by David Craven, it is not affiliated in any way with the University of Birmingham.

      Privacy Policy

      Contact Us

      Most recent videos

      • Nikolay Bogachev: Geometry, Arithmetic, and Dynamics of Discrete Groups, XXI 3rd December, 2024
      • David Fernández: Non-commutative Poisson geometry and pre-Calabi-Yau algebras 2nd December, 2024
      • Hadi Salmasian: Lie Groups and Quantization, XXIII 2nd December, 2024
      • Jon Woolf: Heart fans as universal phase diagrams 28th November, 2024
      • Nikolay Bogachev: Geometry, Arithmetic, and Dynamics of Discrete Groups, XX 28th November, 2024