https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
Lecturer 김홍종
Dept. 서울대/광주과학기술원
date May 27, 2021

 

The thirteen books "Elements" were written or collected by Euclid of Alexandria about 300 BCE.

Many think that "Elements" is the most important example of deductive mathematics.

In fact, the Common Notions and the Postulates of Elements are not just arbitrary axioms. 

They should be regarded as marvelous pearls in the ocean of geometry.  

Discovering and proving theorems are the Arts of Mathematics.

Atachment
Attachment '1'
  1. Regularity theory for non-autonomous elliptic equations in divergence form

    CategoryMath Colloquia Dept.서강대학교 Lecturer옥지훈
    Read More
  2. <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems

    Metastability란 random process가 여러 개의 안정된 상태를 가질 때 반드시 나타나는 현상으로, 수리물리학이나 화학의 여러 모형들은 물론 딥러닝의 알고리즘 등 다양한 곳에서 공통적으로 나타나는 현상이다. 본 강연에서는 이 Metastability를 수학적으로...
    CategoryMath Colloquia Dept.서울대학교 Lecturer서인석
    Read More
  3. Geometric Langlands theory: A bridge between number theory and physics

    ※ 강연 앞 부분이 잘렸습니다. (강연자료 다운: Geometric Langlands Theory [A Bridge between Number Theory and Physics] (2022.04.28).pdf ) 초록: The Langlands program consists of a tantalizing collection of surprising results and conjectures w...
    CategoryMath Colloquia Dept.서울대학교 Lecturer유필상
    Read More
  4. Noise-induced phenomena in stochastic heat equations

    Stochastic heat equations (SHE) usually refer to heat equations perturbed by noise and can be a model for the density of diffusing particles under a random potential. When the irregularity of noise is dominating the diffusion, SHE exhibits ...
    CategoryMath Colloquia Dept.포항공대 Lecturer김건우
    Read More
  5. Mirror symmetry of pairings

    ※ 강연 앞 부분이 잘렸습니다. (강연자료 다운: Mirror symmetry of pairings.pdf ) 초록: Mirror symmetry has served as a rich source of striking coincidences of various kinds. In this talk we will first review two kinds of mirror symmetry statem...
    CategoryMath Colloquia Dept.숭실대학교 Lecturer이상욱
    Read More
  6. A dissipative effect on some PDEs with physical singularity

    초록: In this lecture, we study various dissipative effect in a phase space from either entropy dissipation or boundary. We see how this effect leads mathematical studies on long time behavior and scale-uniform estimate of kinetic PDEs in g...
    CategoryMath Colloquia Dept.University of Wisconsin-Madison Lecturer김찬우
    Read More
  7. <학부생을 위한 ɛ 강연> Secure computation: Promise and challenges

    This talk discusses modern cryptographic techniques, such as zero-knowledge proof, multi-party computation and homomorphic encryption, which provide advanced functionality and security guarantees beyond data privacy and authenticity. I will...
    CategoryMath Colloquia Dept.송용수 Lecturer<학부생을 위한 ɛ 강연> Secure computation: Promise and challenges
    Read More
  8. Geometric structures and representation spaces

    초록: Let X be a homogeneous space for a Lie group G. A (G,X)-structure on a manifold M is an atlas of coordinate charts valued in X, such that the changes of coordinates locally lie in G. It is a fundamental question to ask how many ways o...
    CategoryMath Colloquia Dept.서울대학교 Lecturer이계선
    Read More
  9. <정년퇴임 기념강연> 리만 가설에 관련된 옌센 다항식의 영점

    Sufficient conditions for the Jensen polynomials of the derivatives of a real entire function to be hyperbolic are obtained. The conditions are given in terms of the growth rate and zero distribution of the function. As a consequence some r...
    CategoryMath Colloquia Dept.서울대학교 Lecturer김영원
    Read More
  10. Infinite order rationally slice knots

    A knot is a smooth embedding of an oriented circle into the three-sphere, and two knots are concordant if they cobound a smoothly embedded annulus in the three-sphere times the interval. Concordance gives an equivalence relation, and the se...
    CategoryMath Colloquia Dept.카이스트 수리과학과 Lecturer박정환
    Read More
  11. Random matrices and operator algebras

    Free probability is a young mathematical theory that started in the theory of operator algebras. One of the main features of free probability theory is its connection with random matrices. Indeed, free probability provides operator algebrai...
    CategoryMath Colloquia Dept.서울대학교 수학교육과 Lecturer윤상균
    Read More
  12. 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...
    CategoryMath Colloquia Dept.부산대학교 수학과 Lecturer김유식
    Read More
  13. 돈은 어떻게 우리 삶에 돈며들었는가? (불확실성 시대에 부는 선형적으로 증가하는가?)

    1. 금본위제, 달러, 비트코인 등 돈의 흐름으로 보는 세계사 2. 사람은 어떻게 생각하고 행동하는가 ? (행동경제학, 비선형성) 3. 돈에 대한 생각, 행동, 습관을 바꾸어보자. (부자들은 무엇이 다른가 ? 지금부터 준비해보자.) 4. 주식, 부동산 등 자산관리 [...
    CategoryMath Colloquia Dept.농협은행 Lecturer홍순옥
    Read More
  14. <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI

    In this talk, I will introduce the audience to the original beauty that leads to exploring the mathematical elements in music. I will cover the following topics on the connection between music and mathematics. - Harmonics & equations - ...
    CategoryMath Colloquia Dept.피아니스트 Lecturer임현정
    Read More
  15. Topological surgery through singularity in mean curvature flow

    The mean curvature flow is an evolution of hypersurfaces satisfying a geometric heat equation. The flow naturally develops singularities and changes the topology of the hypersurfaces at singularities, Therefore, one can study topological pr...
    CategoryMath Colloquia Dept.고등과학원 Lecturer최경수
    Read More
  16. Heavy-tailed large deviations and deep learning's generalization mystery

    Abstract: While the typical behaviors of stochastic systems are often deceptively oblivious to the tail distributions of the underlying uncertainties, the ways rare events arise are vastly different depending on whether the underlying tail ...
    CategoryMath Colloquia Dept.Northwestern University Lecturer이창한
    Read More
  17. Diophantine equations and moduli spaces with nonlinear symmetry

    A fundamental result in number theory is that, under certain linear actions of arithmetic groups on homogeneous varieties, the integral points of the varieties decompose into finitely many orbits. For a classical example, the set of integra...
    CategoryMath Colloquia Dept.서울대학교 Lecturer황준호
    Read More
  18. <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces

    The invariant subspace problem is one of the longstanding open problem in the field of functional analysis and operator theory. It is due to J. von Neumann (in 1932) and is stated as: Does every operator have a nontrivial invariant subspace...
    CategoryMath Colloquia Dept.서울대학교 Lecturer이우영
    Read More
  19. <정년퇴임 기념강연> The Elements of Euclid

    The thirteen books "Elements" were written or collected by Euclid of Alexandria about 300 BCE. Many think that "Elements" is the most important example of deductive mathematics. In fact, the Common Notions and the Postulates of Elements are...
    CategoryMath Colloquia Dept.서울대/광주과학기술원 Lecturer김홍종
    Read More
  20. On circle diffeomorphism groups

    For each natural number k, the C^k diffeomorphisms of the circle form a group with function compositions. This definition even extends to real numbers k no less than one by Hölder continuity. We survey algebraic properties of this grou...
    CategoryMath Colloquia Dept.고등과학원 Lecturer김상현
    Read More
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 Next
/ 10