Session Code

분과명 Title/Topic

주관교수 Organizers

Slot A
23(금) 13:20- 14:50

Slot B
23(금) 15:10- 16:40

Slot C
24(토) 08:50- 10:20

Slot D
24(토) 10:40- 12:10

Invited Lectures 24(토) 13:10- 13:40

Slot E
24(토) 14:00- 15:30

AL

대수학
Algebra

손재범 (연세대)

O

O

O

AN

해석학
Analysis

변재형 (KAIST)

O

O

O

GE

기하학
Geometry

박진성 (고등과학원)

O

O

 O

TO

위상수학
Topology

이대웅 (전북대)

O

 O

 O 

O

PS

확률·통계학
Probability and Statistics

김판기 (서울대)

O

O

O

AM

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

박은재 (연세대)

O

O

O

O

O

ME

수학교육
Mathematical Education

최은미 (한남대)

 O

O

O

DM

이산수학
Discrete Mathematics

김석진 (건국대)

O

 O

 O

O

CR

암호학
Cryptography

천정희 (서울대)

O

O

O

Session Code

세션명 Title/Topic

주관교수 Organizers

Slot A
 23(금) 13:20- 14:50

Slot B
23(금) 15:10- 16:40

Slot C
24(토) 08:50- 10:20

Slot D
24(토) 10:40- 12:10

Slot E
24(토) 14:00- 15:30

FS-01

편미분방정식, 기하, 확률, 데이터의 만남
A Meeting between PDE, Geometry, Probability, and Data

김영헌
(The Univ. of British Columbia)

O

O

O

O

This meeting will bring leading researchers from PDE, geometry, probability, and machine learning, to promote communications between these areas, and to let junior researchers and graduate students know recent progress. A unifying theme is optimal transport theory where Alessio Figalli, one of the recent Fields medalists, has made breakthrough contributions. Optimal transport theory has been developed mainly through interactions with other areas; Figalli himself made striking results in regularity theory of the Monge-Ampere equation, quantitative stability of isoperimetric inequalities, universality of random matrices, which on the surface look very different from each other.

FS-02

산술 기하와 표현론에의 최근 동향
Recent Trends in Arithmetic Geometry and Representation Theory

김완수
(KAIST)

O

Since the latter half of 20th century, number theory has expanded its horizons beyond what has been traditionally regarded as number theory, integrating various elements from algebraic geometry and representation theory. Nowadays, we see more and more deep interrelations between number theory, arithmetic geometry and representation theory, such as the work of Peter Scholze's, a Fields medalist in 2018. We hope that this focus session could provide a glimpse of such trends.

FS-03

수학으로 맞서는 코로나19
대유행
Mathematics Against the COVID-19 Pandemics

코로나19
수리모델링 TF팀

  O

코로나19 유행으로 달라진 우리들의 삶이 어느덧 9개월이 되어간다. 신종인플루엔자, 메르스 등 신종감염병 수리모델링으로 이미 준비되어 있던 수학계도 선제적이고 효과적인 방역 정책에 적극적이고 과학적인 가이드라인을 제시하고 있다. 이번 집중세션에서는 우리나라 코로나19 유행 방역정책에서의 수학의 역할에 대한 이슈가 다루어질 것이다.

FS-04

양자계산 및 양자정보
Quantum Computation and Quantum Information

이수준
(경희대)
윤상균
(서울대)

O

O

Quantum computation and quantum information is an interdisciplinary research field that lies at the intersection of quantum physics, computer science, and mathematics.
In particular, the field has developed revolutionary information processing and innovative communication technologies, which are infeasible without exploiting the principles of quantum mechanics.
This session aims to discuss recent mathematical results focusing on quantum computation and quantum information.

Session Code

세션명 Title/Topic

주관교수 Organizers

Slot A
23(금) 13:20- 14:50

Slot B
23(금) 15:10- 16:40

Slot C
24(토) 08:50- 10:20

Slot D
24(토) 10:40- 12:10

Slot E
24(토) 14:00- 15:30

SS-01

자기 동형 형식과 q 급수
Automorphic Forms and q-Series

최도훈
(고려대)

O

O

Automorphic forms play important roles in number theory and other aeras in mathematics such as topology, combinatorics, mathematical physics and so on. In many cases, automorphic forms can be expressed as q-series. For example, Taniyama-Shimura conjecture suggests that a q-series generating numbers of points of an elliptic curve over finite fields is an automorphic forms. In this sesion, recent progresses on these two closely related topics will be disscussed.

SS-02

쌍유리 기하학과 모듈라이
Birational Geometry and Moduli

이용남
(KAIST)
정기룡
(경북대)

O

O

This special session is devoted to the interplay between birational geometry and moduli spaces, which are important research area in algebraic geometry.

SS-03

가환대수학
Commutative Algebra and Related Topics

김환구
(호서대)
장규환
(인천대)
안재만
(공주대)

 O

O

This special session will present various topics related to commutative algebra.

SS-04

환론과 가군론의 최신 발전
Recent Advances in Ring and Module Theory

오동렬
(조선대)
이강용
(충남대)

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-05

표현론과 관련 주제들
Representation Theory and Related Topics

권재훈
(서울대)

O

O

This special session focuses on representation theory of various algebras including quantum groups and Hecke algebras, and the related topics from other areas.

SS-06

정수론 연구 동향
Trends in Number Theory

임보해
(KAIST)
선해상
(UNIST)

O

The purpose of this session is to bring the young researchers, including new Ph.D. and postdoc, of various areas in number theory together, and to discuss recent progress in their research fields. We discuss all topics in algebaic and analytic number theory and related results.

SS-07

타원형과 포물선형 편미분방정식과 응용
Elliptic and Parabolic PDEs with Applications

박진해
(충남대)
변순식
(서울대)

 O

O  

This special session will discuss on the most recent developments in elliptic and parabolic partial differential equations together with their related variational problems and applications. This meeting will serve to gain a deeper understanding of spectacular progress made in recent years. We encourage participants to share their insights and ideas, and also to aim to bring to the key challenges for future research in these areas.

SS-08

기체 운동 방정식과 입자 동역학
Kinetic Equations and Particle Dynamics

황형주
(POSTECH) 홍영훈
(중앙대)
이영란
(서강대)

O

O

We discuss recent progress and various topics in kinetic equations such as Boltzmann equation and Vlasov equation as well as Schrodinger equations and their applications.

SS-09

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-10

수리물리에서 파생된 편미분 방정식
PDEs Arising from Mathematical Physics

강경근
(연세대)
권봉석
(UNIST)
이지훈
(중앙대)

 O

O

We focus on the mathematical studies on the nonlinear partial differential equations arising from mathematical physics-fluid mechanics, quantum physics, particle physics, general relativity and so on. We discuss the quantitative and qualitative analysis of the solutions to the partial differential equations.

SS-11

실 및 복소 다양체의 미분기하학
Differential Geometry on Real and Complex Manifolds

서영진
(경북대)
우창화
(부경대)

 O

O

In this special session we will discuss recent progress and various topics on real and complex manifolds in the field of differential geometry.

SS-12

저차원 위상수학
Low-Dimensional Topology

김세구
(경희대)
김태희
(건국대)

O

O

The aim of this special session is to present the recent advances in various areas of low-dimensional topology, including studies on knots, 3-manifolds, 4-manifolds and their relations.

SS-13

복잡한 생명 시스템을 위한 확률론
Probability-Based Approach for Complex Biological Systems

김재경
(KAIST)

 O

O

Biological systems consist of a large number of species with reactions which occur in multiple spatio-temporal scales. Because performing stochastic simulations of such systems are computationally expensive and prohibitive, various methods to analyze stochastic properties of biological systems have been developed. In this mini-symposium, the focus will be on recent research reporting on advances in this area.

SS-14

코로나 19 확산방지를 위한 수학적 모델링과 컴퓨터 시뮬레이션
Mathematical Modeling and Computer Simulation for Controlling COVID-19 Outbreaks

김준석
(고려대)

O

Mathematical modeling and computer simulations are very powerful tools to predict the dynamics of the biological phenomenon. In this special session, [Mathematical modeling and computer simulation for controlling COVID-19 outbreaks], we present and discuss recent research results about COVID-19.

SS-15

그래프의 인자들과 고윳값에 관하여
Factors and Eigenvalues of Graphs

오수일
(한국뉴욕주립대)

O

Factors of a graph are considered important objects to investigate the structures of the graph.
This session aims to discuss recent progress on (eigenvalue) conditions to guarantee the existence of
a certain factor in a (di-)graph.

SS-16

응용대수 및 최적화 이론
Special on 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.