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  1. 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
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  2. 2021-2 Rookies Pitch: Representation Theory(김영훈)

    CategoryBK21 FOUR Rookies Pitch Dept.QSMS Lecturer김영훈
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  3. <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
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  4. <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
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  5. 2022-2 Rookies Pitch: Geometric Topology (김승원)

    CategoryBK21 FOUR Rookies Pitch Dept.성균관대학교 Lecturer김승원
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  6. On the Schauder theory for elliptic PDEs

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    CategoryMath Colloquia Dept.연세대학교 Lecturer김세익
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  7. 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
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  8. Introduction to Non-Positively Curved Groups

    Introduction to Non-Positively Curved Groups
    CategoryMath Colloquia Dept.KAIST Lecturer김상현
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  9. 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
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  10. 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
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  11. 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
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  12. 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
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  13. 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
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  14. 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
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  15. 2023-1 Number Theory (김민규)

    CategoryBK21 FOUR Rookies Pitch Dept.성균관대학교 Lecturer김민규
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  16. <정년퇴임 기념강연> 수학의 시대정신(?)

    일각에서 혁명이라고 칭할 정도로 4차 산업은 미래 사회를 송두리째 변혁시킬 것으로 예견되고 있다. 이러한 대변혁의 시기를 맞아 우리나라 수학의 미래를 위해, 우리 수학계가 처한 위기와 기회를 파악하고, 나아갈 방향에 대한 논의를 시작해 보고자 한다.
    CategoryMath Colloquia Dept.서울대학교 수리과학부 Lecturer김명환
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  17. 2023-1 Algebraic Combinatorics (김동현)

    CategoryBK21 FOUR Rookies Pitch Dept.BK21 Lecturer김동현
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  18. The Lagrange and Markov Spectra of Pythagorean triples

    The Lagrange spectrum is the set of approximation constants in the Diophantine approximation for badly approximated numbers. It is closely related with the Markov spectrum which corresponds the minimum values of indefinite quadratic forms ov...
    CategoryMath Colloquia Dept.동국대학교 Lecturer김동한
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  19. Subword complexity, expansion of real numbers and irrationality exponents

    We introduce and study a new complexity function in combinatorics on words, which takes into account the smallest return time of a factor of an infinite word. We characterize the eventually periodic words and the Sturmian words by means of t...
    CategoryMath Colloquia Dept.동국대 Lecturer김동한
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  20. 학부생을위한ε강연: 수학자는 왜 선망되는 직업일까?

    현대 사회에서 수학의 역할과 수학자에 대한 수요는 갈수록 증가하고 있다. 미국의 어떤 조사에서는 수학자가 가장 선망 받는 직업으로 분류되고, 영국에서 수학이 경제에 미치는 영향을 분석한 Deloitte 보고서에 따르면 영국 직업의 10%가 수학 연구와 직접...
    CategoryMath Colloquia Dept.KAIST Lecturer김동수
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