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1. ### 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...
CategoryMath Colloquia Dept.부산대학교 수학과 Lecturer김현민
2. ### Circular maximal functions on the Heisenberg group

The spherical average has been a source of many problems in harmonic analysis. Since late 90's, the study of the maximal spherical means on the Heisenberg group \$mathbb{H}^n\$ has been started to show the pointwise ergodic theorems on the gro...
CategoryMath Colloquia Dept.연세대 수학과 Lecturer김준일
3. ### 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...
CategoryMath Colloquia Dept.부산대 수학과 Lecturer장동훈
4. ### A modified separation method to solve a heat-transfer boundary value problem

We derive a general solution of the heat equation through two modied separation methods. The obtained solution is expressed as linearly combined kernel solutions in terms of Hermite polynomials, which appears to provide an explanation of non...
CategoryMath Colloquia Dept.서울대 경제학부 Lecturer최병선
5. ### Arithmetic of elliptic curves

Elliptic curves defined over the rationals satisfy two finiteness properties; its group of rational points is a finitely generated abelian group and it has only finitely many points with integral coordinates. Bhargava and his collaborators e...
CategoryMath Colloquia Dept.서울대 Lecturer김도형
6. ### <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces

Convergence of Fourier series and integrals is the most fundamental question in classical harmonic analysis from its beginning. In one dimension convergence in Lebesgue spaces is fairly well understood. However in higher dimensions the probl...
CategoryMath Colloquia Dept.서울대 Lecturer이상혁
7. ### Trends to equilibrium in collisional rarefied gas theory

Dynamics of many particle system can be described by PDE of probability density function. The Boltzmann equation in kinetic theory is one of the most famous equation which describes rarefied gas dynamics. One of main property of the Boltzman...
CategoryMath Colloquia Dept.포항공과대학교 Lecturer이동현
8. ### 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...
CategoryMath Colloquia Dept.동국대학교 Lecturer김동한
9. ### A-infinity functor and topological field theory

Lagrangian Floer theory in symplectic manifold associate a category (A infinity category) to a symplectic manifold. More than 20 years ago a relation of a relation between Lagrangian Floer theory and Gauge theory was studied by Floer himself...
CategoryMath Colloquia Dept.Simons Center for Geometry and Physics LecturerKenji Fukaya
10. ### Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients

In this talk I will first give a survey of recent recent results SDEs with singular coefficients. Then I will report some recent results, jointly with Longjie Xie, on critical and supercritical SDEs with singular coefficients.
CategoryMath Colloquia Dept.University of Illinois LecturerRenming Song
11. ### Algebraic surfaces with minimal topological invariants

상산수리과학관 20주년 기념강연
CategorySpecial Colloquia Dept.고등과학원 Lecturer금종해
12. ### A wrapped Fukaya category of knot complement and hyperbolic knot

상산수리과학관 20주년 기념강연
CategorySpecial Colloquia Dept.포항공대 Lecturer오용근
13. ### Alice and Bob meet Banach and von Neumann

양자컴퓨터와 양자암호로 대표되는 양자기술의 응용이 대두되면서 그 기반이 되는 양자정보학에 대한 관심이 그 어느때보다 높다. 양자정보학은 양자상태의 정보량 및 양자상태를 전송할 때 전달되는 정보량을 분석하고자 하는 목표를 가지고 있는데 많은 경우...
CategoryMath Colloquia Dept.서울대 Lecturer이훈희
14. ### Congruences between modular forms

We introduce the notion of congruences (modulo a prime number) between modular forms of different levels. One of the main questions is to show the existence of a certain newform of an expected level which is congruent to a given modular form...
CategoryMath Colloquia Dept.서울대 Lecturer유화종
15. ### W-algebras and related topics

A W-algebra is introduced as a symmetry algebra in 2-dimensional conformal field theory. Mathematical realization of a W-algebra was introduced by the theory of vertex algebras. Especially, W-algebras related to Lie superalgebras have been s...
CategoryMath Colloquia Dept.서울대학교 Lecturer서의린
16. ### On function field and smooth specialization of a hypersurface in the projective space

In this talk, we will discuss two interesting problems on hypersurfaces in the projective space. The first one is the absolute Galois theory on the function field of a very general hypersurface in the projective space. The other one is the c...
CategoryMath Colloquia Dept.KAIST Lecturer이용남
17. ### <학부생을 위한 ɛ 강연> 기하와 대수의 거울대칭

거울대칭은 수학의 다른 두 분야의 이론 간 연관관계를 제시하며, 물리학의 초끈이론에서 비롯되어 수학의 여러 분야에 지난 2~30년간 많은 영향을 주었다. 이번 강연에서는 곡면 (구, 토러스 등)에서 곡선들과 이에 둘러싸인 다각형이 만드는 기하학과 이와 ...
CategoryMath Colloquia Dept.서울대학교 Lecturer조철현
18. ### 1 is big enough to understand 3

We discuss how the closed connected 1-dimensional manifold, namely the circle, can help understanding 3-manifolds. We describe so-called the universal circle proposed by a lengendary mathematician, William Thurston, and discuss certain gene...
CategoryMath Colloquia Dept.카이스트 Lecturer백형렬