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1. ### An introduction to hyperplane arrangements

A hyperplane arrangement is an arrangement of a finite set of hyperplanes in some vector space. Hyperplane arrangements generalize other famous combinatorial objects such as graphs and matroids. In this talk, we introduce a characteristic po...
Category수학강연회 소속서울대 강연자이승진
2. ### <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...
Category수학강연회 소속서울대 강연자이상혁
3. ### 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...
Category수학강연회 소속숭실대학교 강연자이상욱
4. ### 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...
Category수학강연회 소속포항공과대학교 강연자이동현
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. ### Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms

In this talk, we will consider the hyperbolic Kac-Moody algebra associated to a certain rank 3 Cartan matrix and generalized Kac-Moody algebras that contain the hyperbolic Kac-Moody algebra. The denominator funtions of the generalized Kac-Mo...
Category수학강연회 소속Univ. of Connecticut 강연자이규환
7. ### 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...
Category수학강연회 소속서울대학교 강연자이계선
8. ### Seifert fiberings

There are three Bieberbach theorems on flat Riemannian manifolds; characterization, rigidity and finiteness. These extend to almost flat manifolds. We discuss characterization, rigidity and finiteness of infra-nilmanifolds (almost flat manif...
Category수학강연회 소속University of Oklahoma 강연자이경배
9. ### 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...
Category수학강연회 소속서울대학교 수학교육과 강연자윤상균
10. ### 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...
Category수학강연회 소속서울대 강연자유화종
11. ### 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...
Category수학강연회 소속서울대학교 강연자유필상
12. ### <학부생을 위한 강연> 수학과 보험산업

Category수학강연회 소속라이나생명 강연자유신옥
13. ### 학부생을 위한 강연: 건축과 수학

수학의 기하학, 위상학 그리고 알고리즘의 건축디자인의 적용 사례 및 이론적 배경
Category수학강연회 소속UI 건축사무소 강연자위진복
14. ### Regularity theory for non-autonomous elliptic equations in divergence form

Category수학강연회 소속서강대학교 강연자옥지훈
15. ### Counting circles in Apollonian circle packings and beyond

Counting circles in Apollonian circle packings and beyond
Category수학강연회 소속Brown Univ. 강연자오희
16. ### From mirror symmetry to enumerative geometry

There have been at least two surprising events to geometers in 80-90s that they had to admit physics really helps to solve classical problems in geometry. Donaldson proved the existence of exotic 4-dimensional Euclidean space using gauge th...
Category수학강연회 소속서울대학교 강연자오정석
17. ### 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
18. ### Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

Gromov introduced the analytic method of pseudoholomorphic curves into the study of symplectic topology in the mid 80's and then Floer broke the conformal symmetry of the equation by twisting the equation by Hamiltonian vector fields. We sur...
Category수학강연회 소속IBS, 포항공과대학교 강연자오용근