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# 2021-2 Rookies Pitch: Stochastic Analysis (이해성)

Lecturer 이해성 서울대학교 수학연구소 Oct 05, 2021

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1. ### <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces

The invariant subspace problem is one of the longstanding open problem in the field of functional analysis and operator theory. It is due to J. von Neumann (in 1932) and is stated as: Does every operator have a nontrivial invariant subspace...
CategoryMath Colloquia Dept.서울대학교 Lecturer이우영
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2. ### 2023-1 Stochastic PDE(이재윤)

CategoryBK21 FOUR Rookies Pitch Dept.KIAS Lecturer이재윤
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3. ### 2023-2 Minimal Surface Theory (이재훈)

CategoryBK21 FOUR Rookies Pitch Dept.KIAS Lecturer이재훈
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4. ### 2021-2 Rookies Pitch: Arithmetic Statistics (이정인)

CategoryBK21 FOUR Rookies Pitch Dept.KIAS Lecturer이정인
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5. ### Averaging formula for Nielsen numbers

We will show that the averaging formula for Nielsen numbers holds for continuous maps on infra-nilmanifolds: Let M be an infra-nilmanifold with a holonomy group Phi and f : M -> M be a continuous map. Then N(f ) = 1/| Phi | Sum_{A in Phi} | ...
CategoryMath Colloquia Dept.서강대학교 Lecturer이종범
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6. ### 2022-2 Rookies Pitch: Probability Theory (이중경)

CategoryBK21 FOUR Rookies Pitch Dept.수리과학부 Lecturer이중경
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7. ### The Mathematics of the Bose Gas and its Condensation

Since Bose and Einstein discovered the condensation of Bose gas, which we now call Bose-Einstein condensation, its mathematical properties have been of great importance for mathematical physics. Recently, many rigorous results have been obta...
CategoryMath Colloquia Dept.KAIST Lecturer이지운
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8. ### 2021-2 Rookies Pitch: Harmonic Analysis (이진봉)

CategoryBK21 FOUR Rookies Pitch Dept.서울대학교 Lecturer이진봉
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9. ### Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT)

Magnetic Resonance Electrical Impedance Tomography (MREIT) is a late medical imaging modality visualizing static conductivity images of electrically conducting subjects. When we inject current into the object, it produces internal distributi...
CategoryMath Colloquia Dept.KAIST Lecturer이창옥
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10. ### Heavy-tailed large deviations and deep learning's generalization mystery

Abstract: While the typical behaviors of stochastic systems are often deceptively oblivious to the tail distributions of the underlying uncertainties, the ways rare events arise are vastly different depending on whether the underlying tail ...
CategoryMath Colloquia Dept.Northwestern University Lecturer이창한
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11. ### 2021-2 Rookies Pitch: Stochastic Analysis (이해성)

CategoryBK21 FOUR Rookies Pitch Dept.서울대학교 수학연구소 Lecturer이해성
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12. ### Analysis and computations of stochastic optimal control problems for stochastic PDEs

Many mathematical and computational analyses have been performed for deterministic partial differential equations (PDEs) that have perfectly known input data. However, in reality, many physical and engineering problems involve some level of ...
CategoryMath Colloquia Dept.아주대 Lecturer이형천
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13. ### Non-commutative Lp-spaces and analysis on quantum spaces

In this talk we will take a look at analysis on quantum spaces using non-commutative Lp spaces. We will first review what a non-commutative Lpspace is, and then we will see few examples of quantum spaces where Lp analysis problems arise natu...
CategoryMath Colloquia Dept.서울대학교 Lecturer이훈희
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14. ### Alice and Bob meet Banach and von Neumann

양자컴퓨터와 양자암호로 대표되는 양자기술의 응용이 대두되면서 그 기반이 되는 양자정보학에 대한 관심이 그 어느때보다 높다. 양자정보학은 양자상태의 정보량 및 양자상태를 전송할 때 전달되는 정보량을 분석하고자 하는 목표를 가지고 있는데 많은 경우...
CategoryMath Colloquia Dept.서울대 Lecturer이훈희
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15. ### 2023-2 Long-time Behavior of PDE (임덕우)

CategoryBK21 FOUR Rookies Pitch Dept.KIAS Lecturer임덕우
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16. ### Cloaking via Change of Variables

We consider the problem of identifying the material properties from boundary measurements. For the conductivity case, this is known as Calderon problem: “Is it possible to determine the electrical conductivity inside a domain from the bounda...
CategoryMath Colloquia Dept.KAIST Lecturer임미경
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17. ### Volume entropy of hyperbolic buildings

Volume entropy of a compact manifold is the exponential growth rate of balls in the universal cover. This seemingly coarse invariant contains a lot of geometric information of the manifold. We will discuss some relations to other invariants,...
CategoryMath Colloquia Dept.서울대 Lecturer임선희
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18. ### Randomness of prime numbers

Ergodic theory of horocycle flow and nilflow has been proved to be useful for analyzing the randomness of Mobius function, a function which reveals the mystery of prime numbers. In this survey talk, we will introduce Mobius function and seve...
CategoryMath Colloquia Dept.서울대학교 Lecturer임선희
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19. ### Brownian motion and energy minimizing measure in negative curvature

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CategoryMath Colloquia Dept.서울대학교 Lecturer임선희
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20. ### <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI

In this talk, I will introduce the audience to the original beauty that leads to exploring the mathematical elements in music. I will cover the following topics on the connection between music and mathematics. - Harmonics & equations - ...
CategoryMath Colloquia Dept.피아니스트 Lecturer임현정
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