Session Code

분과명 Title/Topic

주관교수 Organizers

Slot A 10/21(목) 08:40- 10:10

Slot B 10/21(목) 10:30- 12:00

Invited Lectures-Ⅰ 10/21(목) 13:00- 13:35

Invited Lectures-Ⅱ 10/21(목) 13:55- 14:30

Slot C 10/21(목) 14:50- 16:20

Slot D 10/21(목) 16:40- 18:10

AL

대수학
Algebra

김영훈(서울대)

O

O

O 

  O

AN

해석학
Analysis

김세익(연세대)

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

AM

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

천세훈
(연세대)

  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(KAIST)

O

O

O

Session Code

세션명 Title/Topic

주관교수
Organizers

10/22(금) 09:30- 10:30

10/22(금) 10:40- 11:40

FS-01

에미 뇌터의 수학적 유산
Emmy Noether’s Mathematical Heritage

김영훈
(서울대)

O

O

Emmy Noether (1882-1935) is well known for her famous contributions to abstract algebra and theoretical physics. In abstract algebra, she made great contributions to the theories of algebraic invariants and number fields, the theory of ideals, non-commutative algebras, and the representation theory. She is also well known for her theorem, which united two conceptual pillars in physics: symmetry in nature and the universal laws of conservation.

This focus session, which celebrates her great legacy in mathematics and theoretical physics, will bring researchers from Emmy Noether’s related research areas.

FS-02

딥러닝과 데이터 과학
Deep learning and Data science

서진근
(연세대)
전기완
(국가수리과학
연구소)

O

O

Deep learning techniques have expanded our ability by sophisticated “disentangled hierarchical representation learning” though training data. They appear to overcome limitations of existing mathematical methods in handling various industrial problems. Deep learning methods will improve their performance as accumulating experience and training data over time. The focus of this session is multidisciplinary deep learning researches that enable innovative ways to solve challenging problems.

Session Code

세션명 Title/Topic

주관교수 Organizers

Slot A 10/21(목) 08:40- 10:10

Slot B 10/21(목) 10:30- 12:00

Slot C 10/21(목) 14:50- 16:20

Slot D 10/21(목) 16:40- 18:10

SS-01

산술기하학의 동향
Trends in Arithmetic Geometry

조성문
(POSTECH)

O

O

The aim of this special session is to create a platform for (preferably junior) researchers to present their work.

SS-02

보형형식과 q-급수의 최신 동향
Recent Developments in Automorphic Forms and q-Series

김연수
(전남대)

O

O

The aim of this special session is to create a platform for (preferably junior) researchers to present their work in the area of automorphic forms and q-series.

SS-03

표현론 및 관련주제들
Representation Theory and Related Topics

권재훈
(서울대)
서의린
(서울대)

O

O

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

SS-04

수리논리학과 그 응용
Mathematical Logic and Its Applications

안진후
(고등과학원)

O

O

This special session brings together researchers in Korea of mathematical logic and its related areas. Covering topics range from pure mathematical logic to its applications to other fields of mathematics and computer science.

SS-05

가환대수학 및 관련 분야
Commutative Algebra and Related Fields

이강용
(충남대)
천상민
(중앙대)

O

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

SS-06

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-07

유체 역학에서 파생한 편미분 방정식들의 수학적 분석
Mathematical Analysis of PDEs Arising from Fluid Dynamics

배한택
(UNIST)
양민석
(연세대)

O

The session will focus on recent developments in the mathematical theory of fluids in motion. The talks will cover both viscous and inviscid, compressible or incompressible fluids. Possible applications in numerical analysis will also be considered. The aim of our special session is to bring together researchers working in different directions in order to initiate fruitful discussions.

SS-08

물리학/집단 행동으로부터 파생되는 비선형 미분방정식
Nonlinear Differential Equations from Physics and Collective Behavior

고동남
(가톨릭대)
김도현
(성신여대)

O

O

Nonlinear differential equations have been extensively and intensively studied for modeling of several phenomena in engineering, biological and physical systems, for instance, nonconvex stochastic optimization, swarming behavior and phase transition. For the modeling, nonlinear differential equations arise in different scales: microscopic, mesoscopic and macroscopic. Hence, several mathematical tools are crucially required to investigate such equations, to name a few, dynamical system theory, variational techniques, conservation law, etc. In this special session, we discuss state-of-the-art results on modeling, analysis and numerical analysis for nonlinear differential equations.

SS-09

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-10

다변수 복소 함수론과 연관 주제들
Several Complex Variables and Related Topics

김성연
(기초과학
연구원
복소기하학
연구단)

O

O

O

O

The topic of this session is the recent progress of several complex variables and related area such as complex geometry and dynamics.

SS-11

토릭위상수학
Toric Topology

최수영
(아주대)
박선정
(전주대)

O

O

Toric topology is a study of the topology of torus actions and applications to geometry and combinatorics. This special session is aimed to present recent achievements in toric topology and related topics, and to discuss perspectives of further research.

SS-12

확률편미분방정식
Stochastic Partial Differential Equations

김일두
(고려대)

O

We discuss recent developments of theories of stochastic partial differential equations.

SS-13

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.

SS-14

지구수학
GeoMath

김상일
(부산대
산업수학센터)

O

The field of GeoMath includes mathematical models, algorithms and computational frameworks, their implementation aspects, and real-life applications for the Earth sciences. The goal of this special session focuses on mathematical studies and their application on fishery and ocean biology.

SS-15

대수 및 조합론적 부호론과 그의 응용
Algebraic and Combinatorial Coding Theory with Its Applications

김종락
(서강대)
최환혁
(UNIST)

O

O

Coding Theory has it root in Information Theory and Mathematics. In this session, we focus on Algebraic and Combinatorial Approach to study error-correcting codes. Furthermore, we welcome several applications of Coding Theory to Bioinformatics, Deep learning, and Cryptography.