Session
Code

분과명
Title/Topic

주관교수
Organizers

Slot A
4/28(목)
09:00-
10:30

Slot B
4/28(목)
10:50-
12:20

Slot C
4/28(목)
13:10-
14:40

Slot D
4/28(목)
15:00-
16:30

Invited Lectures-
I
4/29(금)
10:40-
11:15

Invited Lectures-
Ⅱ
4/29(금)
11:25-
12:00

AL

대수학
Algebra

김영훈
(서울대)

O

O

O

O

AN

해석학
Analysis

김세익
(연세대)

O

O

O

O

O

GE

기하학
Geometry

표준철
(부산대)

O

O

O

O

TO

위상수학
Topology

김태희
(건국대)

O

O

O

O

PS

확률·통계학
Probability and Statistics

김경훈
(고려대)

O

O

O

AM

응용수학(AI, Data Science 포함)
Applied Mathematics
(including AI, Data Science)

이준엽
(이화여대)
정재훈
(포스텍)

O

O

O

O

ME

수학교육
Mathematical Education

김영록
(한국외대)

O

O

DM

이산수학
Discrete Mathematics

조수진
(아주대)

O

O

O

O

CR

암호학
Cryptography

이주영
(카이스트)

O

O

O

O

Session
Code

세션명
Title/Topic

주관교수
Organizers

Slot D
4/28(목)
15:00-
16:30

집중세션
4/29(금)
09:00-
10:30

FS-01

우리 선현의 수학
Mathematics of Our Forefathers

김영욱
(고려대)

O

우리나라는 매우 옛날부터 과학과 수학에 깊은 관심을 가지고 연구해왔다. 그 과정에서 수학을 정착시키고 발전시키는 데 큰 역할을 한 분들이 여럿 나왔다. 이 집중세션에서는 큰 업적을 낸 선현을 중심으로 우리 수학 발전의 변곡점이 된 역사 연구 결과를 발표한다.
People of Korea has long been interested in science and mathematics. During the settlement and the development of mathematics in her history there emerged several scholars who contributed greatly in the field. In this session we focus on our mathematician forefathers to discuss the turning points in the history of mathematics.

FS-02

기계학습과 편미분방정식
Machine Learning & Partial Differential Equations

정재훈
(포스텍)

O

Machine learning (ML) techniques have become an important methodology in various areas of science and engineering. In just the past few years, the combined study of ML and PDEs have become an active area of mathematical research. ML approaches provide new insights into solution methods of PDEs and PDEs similarly help us to better understand ML principles. That is, ML algorithms not only provide a new methodology for solving PDEs, but also take inspiration from PDEs for improvement. ML also helps us to find hidden PDEs underlying natural phenomena. This session will introduce the recent progress of ML techniques for solving PDEs and data-driven PDEs through ML.

FS-03

존내쉬의 수학적 유산
John Nash's Mathematical Heritage

김세익
(연세대)

O

1994년 노벨 경제학상 수상자이자 2015년 아벨상 수상자인 故 John F Nash 교수의 수학적 유산에 대한 집중세션을 개최한다. 특히 C1 isometric embedding과 Hilbert 19번째 문제와 관련한 내용으로 3인의 연사를 모시고 강연을 진행한다.
In this focused session, we present mathematical works of the late John F Nash, who was a winner of the Nobel prize in Economic Sciences in 1994 and the Abel prize in 2015. We will discuss his contribution to the C1 isometric embedding theorem and its recent application to Euler's equations, and also his contribution to Hilbert's 19th problem.

Session
Code

세션명
Title/Topic

주관교수
Organizers

Slot A
4/28(목)
09:00-
10:30

Slot B
4/28(목)
10:50-
12:20

Slot C
4/28(목)
13:10-
14:40

Slot D
4/28(목)
15:00-
16:30

SS-01

해석적 정수론과 관련 주제들
Analytic Number Theory and Related Topics

이윤복
(인천대)

O

O

Analytic number theory is a branch of number theory and plays an important role in modern number theory using various analytical methods. In this special session, we will discuss the latest results on topics related to analytic number theory.

SS-02

대수적 정수론과 그 응용에 대한 연구
Research on Algebraic Number Theory and Its Applications

박철
(UNIST)

O

O

This special session focuses on various topics on algebraic number theory and its applications. We will share recent results in several topics related to algebraic number theory and exchange research ideas among them.

SS-03

가환대수학과 결합대수학의 최신 성과
Recent Results on Commutative and Associative Algebra Theory

이강용
(충남대)
천상민
(중앙대)

O

O

One of the important research areas in Algebra, the ring theory, has been studied by two main areas: commutative rings and noncommutative rings. The ring theory has closed relationship with representation theory, homology, algebraic geometry, algebraic number theory, and is applied to cryptography or code theory.

SS-04

재생핵 힐베르트 공간 상의 작용소론
Operator Theory on Reproducing Kernel Hilbert Spaces

김인현
(인천대)
황인성
(성균관대)

O

O

The session will be devoted, but not limited to the following topics:
- operator theory on reproducing kernel Hilbert spaces;
- general theory of reproducing kernel Hilbert spaces;
- spectral theory of individual linear operators;
- algebras of operators

SS-05

비선형 동역학: 물리학의 입자 및 키네틱 모델
Nonlinear Dynamics: Particle and Kinetic Models from Physics

고동남
(가톨릭대)
배기찬
(서울대)

O

O

We deal with mathematical analysis of partial differential equations in multi-particle system describing various types of interactions between particles, especially for the collision or alignment.

SS-06

기체 방정식과 유체 방정식의 최신 동향
Recent Developments in Kinetic and Fluid Equations

배한택
(UNIST)
윤석배
(성균관대)

O

The session will focus on recent developments in the mathematical theory of kinetic and fluid equations. This section aims to gather researchers in this field to discuss the more recent advances in kinetic and fluid equations as well as some of the most significant applications.

SS-07

함수해석학과 양자현상의 수학적 이해
Functional Analysis and Mathematical Understanding of Quantum Phenomena

이훈희
(서울대)
지운식
(충북대)

O

O

The origin of functional analysis traces back to the mathematical framework of quantum theory. In this special session, we would like to highlight the heritage of functional analysis, focusing on how we can use various branches of functional analysis to explain quantum phenomena.

SS-08

다양체 상의 군 작용
Group Actions on Varieties

박경동
(경상국립대)
홍재현
(기초과학연구원 복소기하학 연구단)

O

O

O

The goal of this special session is to bring together researchers who use group actions on varieties in various fields (algebraic geometry, differential geometry, and topology), and to highlight interactions between these different viewpoints.

SS-09

사교기하학으로의 초대
A Taste of Symplectic Geometry

이재혁
(이화여대)

O

O

In recent decades, symplectic geometry has gained attention and grown up as one major research area in geometry and topology.

The cornerstones are holomorphic curves and Lagrangian submifolds, and the harmony of these leads us to another aspect of mathematics. In this special session, we have a taste of symplectic geometry along the bond between holomorphic curves and Lagrangian submifolds. We share the geometry of ingredients and the key recipes of Mirror Symmetry.

SS-10

마르코프 과정의 열핵
Heat Kernel for Markov Processes

강재훈
(카이스트)

O

O

This special session will focus on heat kernel estimates for Markov processes and their applications.

SS-11

응용대수 및 최적화 이론
Applied Algebra and Optimization

권순학
(성균관대)

O

O

The various fields of applied algebra are related to optimization theory, and in recent years they have been used in various applications such as big data, information theory, and the theory of computation. In addition, industrial mathematics, which has recently been in the limelight, is organically connected with the above mentioned research fields of mathematics, and it has also been originated from joint efforts to find solutions to many industrial problems. This special session is organized for a meeting place to explore the recent development in the fields of applied algebra, optimization theory and the theory of data analysis.