Video
 Subject+ContentSubjectContentCommentUser NameNick NameUser IDTag
1. ### 2023-1 Number Theory (김민규)

CategoryBK21 FOUR Rookies Pitch Dept.성균관대학교 Lecturer김민규
2. ### 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.
CategoryMath Colloquia Dept.Univ. College London/포항공대 Lecturer김민형
3. ### Integer partitions, q-series, and Modular forms

In this talk, we briefly introduce how a combinatorial object, Integer partition, is related with number theoretic subjects : q-series and modular forms. In particular, we will focus on (1) combinatorial proof for q-series identities (2) ari...
CategoryMath Colloquia Dept.서울과학기술 대학 Lecturer김병찬
4. ### On the distributions of partition ranks and cranks

To explain Ramanujan's integer partition function congruences, Dyson's rank and Andrews-Garvan's crank have been introduced. The generating functions for these two partition statistics are typical examples of mock Jacobi forms and Jacobi for...
CategoryMath Colloquia Dept.서울과학기술대학교 Lecturer김병찬
5. ### What is model theory?

I will introduce the basic notions of model theory, a branch of mathematical logic, and survey its applications to other areas of mathematics such as analysis, algebra, combinatorics and number theory. If time permits I will present recent w...
CategoryMath Colloquia Dept.연세대 Lecturer김병한
6. ### Introduction to Non-Positively Curved Groups

Introduction to Non-Positively Curved Groups
CategoryMath Colloquia Dept.KAIST Lecturer김상현
7. ### Subgroups of Mapping Class Groups

The mapping class group of a surface S is the component group of orientation-preserving homeomorphisms on S. We survey geometric and algebraic aspects of this group, and introduce a technique of using right-angled Artin groups to find geomet...
CategoryMath Colloquia Dept.서울대학교 Lecturer김상현
8. ### On circle diffeomorphism groups

For each natural number k, the C^k diffeomorphisms of the circle form a group with function compositions. This definition even extends to real numbers k no less than one by Hölder continuity. We survey algebraic properties of this grou...
CategoryMath Colloquia Dept.고등과학원 Lecturer김상현
9. ### Iwahori-Hecke algebras and beyond

For the irreducible representations of the Hecke algebras, the minimal elements in each conjugacy class play an important role. In this talk, we try to review the minimal length elements and characterize in a more efficient way to find the m...
CategoryMath Colloquia Dept.University of Picardie Jules-Verne, Amiens Lecturer김성순
10. ### On the Schauder theory for elliptic PDEs

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CategoryMath Colloquia Dept.연세대학교 Lecturer김세익
11. ### 2022-2 Rookies Pitch: Geometric Topology (김승원)

CategoryBK21 FOUR Rookies Pitch Dept.성균관대학교 Lecturer김승원
12. ### <정년퇴임 기념강연> 리만 가설에 관련된 옌센 다항식의 영점

Sufficient conditions for the Jensen polynomials of the derivatives of a real entire function to be hyperbolic are obtained. The conditions are given in terms of the growth rate and zero distribution of the function. As a consequence some r...
CategoryMath Colloquia Dept.서울대학교 Lecturer김영원
13. ### 곡선의 정의란 무엇인가?

곡선은 방정식, 매개화된 곡선의 동치류, 모듈 등의 다양한 관점에서 정의될 수 있다. 미끈한 곡선의 경우는 모든 정의들이 본질적으로 동등하지만 이들의 극한을 취하면 관점에 따라 완전히 다른 답들이 얻어진다. 따라서 미끈한 곡선들의 집합은 관점에 따라...
CategoryMath Colloquia Dept.서울대학교 Lecturer김영훈
14. ### Categorification of Donaldson-Thomas invariants

In 1980s, Donaldson discovered his famous invariant of 4-manifolds which was subsequently proved to be an integral on the moduli space of semistable sheaves when the 4-manifold is an algebraic surface. In 1994, the Seiberg-Witten invariant w...
CategoryMath Colloquia Dept.서울대학교 Lecturer김영훈
15. ### 2021-2 Rookies Pitch: Representation Theory(김영훈)

CategoryBK21 FOUR Rookies Pitch Dept.QSMS Lecturer김영훈
16. ### <학부생을 위한 ɛ 강연> 양자상태의 기하학

고전컴퓨터는 모든 정보를 이진수로 표현하여 계산을 0과 1의 전기신호로 구현하는데 반해서 양자컴퓨터는 정보를 벡터(양자상태)로 표현하여 유니터리 변환을 통해 계산을 수행한다. 양자컴퓨터가 관심을 끄는 이유는 얽힌 양자상태 덕분에 빠른 계산이 가능...
CategoryMath Colloquia Dept.고등과학원 Lecturer김영훈
17. ### 2021-1 Rookies Pitch: Number Theory (김예슬)

CategoryBK21 FOUR Rookies Pitch Dept.수학연구소 Lecturer김예슬
18. ### Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

Studies on PDEs are mostly focused on ?nding properties of PDEs within a speci?c discipline and on developing a technique specialized to them. However, ?nding a common structure over di?erent disciplines and unifying theories from di?erent s...
CategoryMath Colloquia Dept.KAIST Lecturer김용정