Sunday, July 4, 2021

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2021-07-09 / 15:00 ~ 16:00
학과 세미나/콜로퀴엄 - 응용수학 세미나: Application of MUSIC algorithm in real-world microwave imaging 인쇄
by 박원광(동국대학교)
MUltiple SIgnal Classification (MUSIC) is a well-known, non-iterative imaging technique in inverse scattering problem. Throughout various researches, it has been confirmed that MUSIC is very fast, effective, and stable. Due to this reason MUSIC has been applied to various inverse scattering problems however, it has not yet been designed and used to identify unknown anomalies from measured scattering parameters (S-parameters) in microwave imaging. In this presentation, we apply MUSIC in microwave imaging for a fast identification of arbitrary shaped anomalies from real-data and establish a mathematical theory for illustrating the feasibilities and limitations of MUSIC. Simulations results with real-data are shown for supporting established theoretical results. Meeting ID: 873 9069 4743 Passcode: 728543
2021-07-05 / 14:00 ~ 15:00
학과 세미나/콜로퀴엄 - 대수기하학: Holomorphic anomaly equation in Gromov-Witten theory 인쇄
by 노현호(충남대학교)
Gromov-Witten invariants are some rational numbers roughly counting curves inside a Calabi-Yau manifold. These numbers have some recurvsive structure on the genus of the curve. I will explain how to study this recursive structure throughholomorphic anomaly equation. For a semi-simple Gromov-Witten theory, I will explain the method of proof of holomorphic anomaly equation for several examples using Givental-Teleman's classification thoerem.If I have more time, I will discuss how to generalize this method to a non-semi simple Gromov-Witten theory.
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