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1. It all started with Moser

We survey work on a class of nonlinear elliptic PDEs that was initiated by Moser. Methods from PDE, dynamical systems, and geometry set in the framework of the calculus of variations are used to construct a rich collection of solutions.
Category수학강연회 소속Univ. of Wisconsin/포항공대 강연자Paul Rabinowitz
2. On some nonlinear elliptic problems

On some nonlinear elliptic problems
Category수학강연회 소속Paul Sabatier University, Toulouse 강연자Yuri Egorov
3. Topology and number theory

We will review a number of topological themes in number theory, starting with homology and ending with a discussion arithmetic homotopy.
Category수학강연회 소속Univ. College London/포항공대 강연자김민형
4. Conservation laws and differential geometry

A fundamental problem in differential geometry is to characterize intrinsic metrics on a two-dimensional Riemannian manifold M2 which can be realized as isometric immersions into R3. This problem can be formulated as initial and/or boundary ...
Category수학강연회 소속Univ. of Wisconsin 강연자Marshall Slemrod
5. 학부학생을 위한 강연회: 기하학과 우주론

우리의 직관에 의하면 우주는 4차원으로 이루어져있다. 달리 말하면 우리가 어떤 사건을 기술 할 때 네 개의 숫자(공간3 + 시간1) 이면 충분하다는 것 이다. 세상에 다른 여분의 차원이 더 있다고 가정 여러 물리 법칙을 통일적으로 기술할 수 있음이 알려졌다...
Category수학강연회 소속홍익대학교 강연자이남훈
6. Zeros of linear combinations of zeta functions

We will introduce the behavior of zeros of linear combinations of zeta functions. Those linear combinations are related to the Riemann zeta function, the Eisenstein series, Periods, etc.
Category수학강연회 소속연세대학교 강연자기하서
7. Counting circles in Apollonian circle packings and beyond

Counting circles in Apollonian circle packings and beyond
Category수학강연회 소속Brown Univ. 강연자오희
8. Sheaf quantization of Hamiltonian isotopies and non-displacability problems

Sheaf quantization of Hamiltonian isotopies and non-displacability problems
Category수학강연회 소속Kyoto Univ./서울대학교 강연자Masaki Kashiwara
9. Limit computations in algebraic geometry and their complexity

Given a one-parameter family of algebraic varieties, its point-wise limit is usually too small whereas its algebraic limit is usually too big. I will introduce a notion of meaningful geometric limit and explain how it can be effectively comp...
Category수학강연회 소속POSTECH 강연자현동훈
10. 학부생을 위한 강연: Introduction to partial differential equations

We discuss on why we study partial differential equations.
Category수학강연회 소속서울대학교 강연자변순식
11. Symmetry Breaking in Quasi-1D Coulomb Systems

Symmetry Breaking in Quasi-1D Coulomb Systems
Category수학강연회 소속서강대학교 강연자Paul Jung
12. Partial differential equations with applications to biology

Partial differential equations with applications to biology
Category수학강연회 소속POSTECH 강연자황형주
13. 학부생을 위한 강연: A COMBINATORIAL FORMULA FOR INFORMATION FLOW IN A NETWORK

A COMBINATORIAL FORMULA FOR INFORMATION FLOW IN A NETWORK
Category수학강연회 소속Univ. of Rhode Island/서울대학교 강연자국웅
14. Gaussian free field and conformal field theory

Ward's identities and the related concept of the stress-energy tensor are standard tools in conformal field theory. I will present a mathematical overview of these concepts and outline relations between conformal field theory and Schramm-Loe...
Category수학강연회 소속서울대학교 강연자강남규
15. Hamiltonian dynamics, Floer theory and symplectic topology

In this lecture, I will convey subtle interplay between dynamics of Hamiltonian flows and La-grangian intersection theory via the analytic theory of Floer homology in symplectic geometry. I will explain how Floer homology theory (`closed str...
Category수학강연회 소속University of Wisconsin 강연자오용근
16. 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
17. Seoul ICM 2014 유치과정 개요 및 준비전략

국제수학자대회(ICM, International Congress of Mathematicians)는 1897년 쮜리히에서 처음 개최되었고, 매 4년마다 개최된다. 100여국 4천여 명 정도의 규모로 9일 동안 계속된다. 우리시대 최고의 수학자들이 참여하며, 필즈상(Fields Medal)을 개막식에서 ...
Category수학강연회 소속포항공과대학교 강연자박형주
18. 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