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Extra Form
강연자 임선희
소속 서울대학교
date 2012-11-15

Ergodic theory of horocycle flow and nilflow has been proved to be useful for analyzing the randomness of Mobius function, a function which reveals the mystery of prime numbers. In this survey talk, we will introduce Mobius function and several conjectures about its randomness, such as Chowla conjecture and Hardy-Littlewood conjecture. We will explain results of Green-Tao-Zielger and Bourgain-Sarnak-Ziegler related to these conjectures. This talk is intended for senior undergraduate students and first year graduate students.

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첨부 '1'
  1. Q-curvature in conformal geometry

  2. Quantitative residual non-vanishing of special values of various L-functions

  3. Quantum Dynamics in the Mean-Field and Semiclassical Regime

  4. Quasi-homomorphisms into non-commutative groups

  5. Random conformal geometry of Coulomb gas formalism

  6. Random matrices and operator algebras

  7. Random walks in spaces of negative curvature

  8. 07Nov
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    in 수학강연회

    Randomness of prime numbers

  9. Recent progress on the Brascamp-Lieb inequality and applications

  10. Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연)

  11. Regularity for non-uniformly elliptic problems

  12. Regularity theory for non-autonomous elliptic equations in divergence form

  13. Regularity theory for nonlocal equations

  14. Restriction theorems for real and complex curves

  15. Riemann-Hilbert correspondence for irregular holonomic D-modules

  16. Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT)

  17. Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms

  18. Satellite operators on knot concordance

  19. Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition

  20. Seifert fiberings

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