https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
강연자 김병찬
소속 서울과학기술 대학
date 2011-11-17

In this talk, we briefly introduce how a combinatorial object, Integer partition, is related with number theoretic subjects : q-series and modular forms. In particular, we will focus on
(1) combinatorial proof for q-series identities
(2) arithmetic and analytic aspects of partition function

Atachment
첨부 '1'
  1. Subword complexity, expansion of real numbers and irrationality exponents

    We introduce and study a new complexity function in combinatorics on words, which takes into account the smallest return time of a factor of an infinite word. We characterize the eventually periodic words and the Sturmian words by means of t...
    Category수학강연회 소속동국대 강연자김동한
    Read More
  2. The Lagrange and Markov Spectra of Pythagorean triples

    The Lagrange spectrum is the set of approximation constants in the Diophantine approximation for badly approximated numbers. It is closely related with the Markov spectrum which corresponds the minimum values of indefinite quadratic forms ov...
    Category수학강연회 소속동국대학교 강연자김동한
    Read More
  3. <학부생을 위한 ε 강연> 수학과 예술 - 초기 컴퓨터 그래픽

    .
    Category수학강연회 소속동양대학교 강연자진중권
    Read More
  4. <학부생을 위한 강연> 수학과 보험산업

    Category수학강연회 소속라이나생명 강연자유신옥
    Read More
  5. Combinatorics and Hodge theory

    I will tell two interrelated stories illustrating fruitful interactions between combinatorics and Hodge theory. The first is that of Lorentzian polynomials, based on my joint work with Petter Brändén. They link continuous convex...
    Category특별강연 소속미국 프린스턴대 교수, 한국 고등과학원 석학교수 강연자허준이
    Read More
  6. Fixed points of symplectic/Hamiltonian circle actions

    A circle action on a manifold can be thought of as a periodic flow on a manifold (periodic dynamical system), or roughly a rotation of a manifold. During this talk, we consider symplectic/Hamiltonian circle actions on compact symplectic mani...
    Category수학강연회 소속부산대 수학과 강연자장동훈
    Read More
  7. Global result for multiple positive radial solutions of p-Laplacian system on exterior domain

    Global result for multiple positive radial solutions of p-Laplacian system on exterior domain In this talk, we consider p-Laplacian systems with singular indefinite weights. Exploiting Amann type three solutions theorem for the singular syst...
    Category수학강연회 소속부산대학교 강연자이용훈
    Read More
  8. 행렬, 행렬함수 그리고 행렬방정식 (Matrix, Matrix Functions and Matrix Equations)

    In this presentation, we introduce how matrices appeared in the history of mathematics and how they are used in today's fields. Also, we consider the necessary mathematics concepts to define the matrix functions. and the existence and conver...
    Category수학강연회 소속부산대학교 수학과 강연자김현민
    Read More
  9. Mathematics, Biology and Mathematical Biology

    The 21st century is the age of life science. Two issues in the life sciences are that humans live long, healthy lives and maintain a steady state of the earth's ecosystems despite disturbances. In this talk, we will look at how mathematics i...
    Category수학강연회 소속부산대학교 수학과 강연자정일효
    Read More
  10. Symplectic topology and mirror symmetry of partial flag manifolds

    Soon after Gromov’s applications of pseudo-holomorphic curves to symplectic topology, Floer invented an infinite-dimensional Morse theory by analyzing moduli spaces of pseudo-holomorphic curves to make substantial progress on Arnold&r...
    Category수학강연회 소속부산대학교 수학과 강연자김유식
    Read More
  11. Q-curvature in conformal geometry

    In this talk, I will talk about the definition Q-curvature and some of its properties. Then I will talk about the problem of prescribing Q-curvature, especially I will explain the ideas of studying the problem using flow approach.
    Category수학강연회 소속서강대 강연자Pak Tung Ho
    Read More
  12. Averaging formula for Nielsen numbers

    We will show that the averaging formula for Nielsen numbers holds for continuous maps on infra-nilmanifolds: Let M be an infra-nilmanifold with a holonomy group Phi and f : M -> M be a continuous map. Then N(f ) = 1/| Phi | Sum_{A in Phi} | ...
    Category수학강연회 소속서강대학교 강연자이종범
    Read More
  13. Symmetry Breaking in Quasi-1D Coulomb Systems

    Symmetry Breaking in Quasi-1D Coulomb Systems
    Category수학강연회 소속서강대학교 강연자Paul Jung
    Read More
  14. Noncommutative Surfaces

    Many aspects of the differential geometry of embedded Riemannian manifolds, including curvature, can be formulated in terms of multi-linear algebraic structures on the space of smooth functions. For matrix analogues of embedded surfaces, one...
    Category수학강연회 소속서강대학교 강연자Jens Hoppe
    Read More
  15. Regularity theory for non-autonomous elliptic equations in divergence form

    Category수학강연회 소속서강대학교 강연자옥지훈
    Read More
  16. Elliptic equations with singular drifts in critical spaces

    Category수학강연회 소속서강대학교 강연자김현석
    Read More
  17. Descent in derived algebraic geometry

    Among many different ways to introduce derived algebraic geometry is an interplay between ordinary algebraic geometry and homotopy theory. The infinity-category theory, as a manifestation of homotopy theory, supplies better descent results ...
    Category수학강연회 소속서강대학교 강연자조창연
    Read More
  18. Entropy of symplectic automorphisms

    ※ 강연 뒷부분이 녹화되지 않았습니다. A symplectic manifold is a space with a global structure on which Hamiltonian equations are defined. A classical result by Darboux says that every symplectic manifold locally looks standard, so it has be...
    Category수학강연회 소속서강대학교 강연자김준태
    Read More
  19. Integer partitions, q-series, and Modular forms

    In this talk, we briefly introduce how a combinatorial object, Integer partition, is related with number theoretic subjects : q-series and modular forms. In particular, we will focus on (1) combinatorial proof for q-series identities (2) ari...
    Category수학강연회 소속서울과학기술 대학 강연자김병찬
    Read More
  20. On the distributions of partition ranks and cranks

    To explain Ramanujan's integer partition function congruences, Dyson's rank and Andrews-Garvan's crank have been introduced. The generating functions for these two partition statistics are typical examples of mock Jacobi forms and Jacobi for...
    Category수학강연회 소속서울과학기술대학교 강연자김병찬
    Read More
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Next
/ 15