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줌정보 https://zoom.us/j/8456734198?pwd=d094SExIRW5HeElWSEVnampjdWZyZz09 회의 ID: 845 673 4198 암호: math

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줌정보 https://zoom.us/j/8456734198?pwd=d094SExIRW5HeElWSEVnampjdWZyZz09 회의 ID: 845 673 4198 암호: math

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줌정보 https://zoom.us/j/8456734198?pwd=d094SExIRW5HeElWSEVnampjdWZyZz09 회의 ID: 845 673 4198 암호: math

Most organisms exhibit various endogenous oscillating behaviors, which provides crucial information about how the internal biochemical processes are connected and regulated. Along with physical experiments, studying such periodicity of organisms often utilizes computer experiments relying on ordinary differential equations (ODE) because configuring the internal processes is difficult. Simultaneously utilizing both experiments, however, poses a significant statistical challenge due to its ill behavior in high dimension, identifiability, and numerical instability. This article devises a new Bayesian calibration strategy for oscillating biochemical models. The proposed methodology can efficiently estimate the computer experiments’ (ODE) parameters that match the physical experiments. The proposed framework is illustrated with circadian oscillations observed in a model filamentous fungus, Neurospora crassa.

In this talk, we will introduce some applications of currents. Thanks to results of Demailly--Paun or Collins--Tosatti, we have a decent understanding of how (cohomology class of) currents are found to be nef and big, the positivity notions that succeed Kahler-ness. With the K3 surface example, where its intersection theory is well-known, we then sketch on how all these machinery are applied to give some result (of Filip--Tosatti) on dynamical rigidity on K3 surfaces.

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Zoom 회의 참가 https://zoom.us/j/92837213232?pwd=Y1RTODFITGFHQWNRbTRTeTlNakZsQT09 회의 ID: 928 3721 3232 암호: barH1Y

In this talk, we will introduce the notion of currents, a generalization of differential forms, allowing distributions (dual of smooth compactly supported functions) as coefficients. With this, we introduce their examples, derivatives, cohomology, "de Rham" type groups, and how they interplay with divisors of complex varieties.

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Zoom 회의 참가 https://zoom.us/j/92837213232?pwd=Y1RTODFITGFHQWNRbTRTeTlNakZsQT09 회의 ID: 928 3721 3232 암호: barH1Y

The studies on the fibers of the Hitchin map are equivalent to those on spectral data for Higgs bundles. In this talk, I will introduce spectral data for SL(2, C)- Higgs bundles over a smooth curve and then discuss how to describe spectral data for SL(2, C)-Higgs bundles over an irreducible nodal curve.

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Zoom ID: 352 730 6970, PW: 9999.

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

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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Zoom ID: 352 730 6970, Password: 9999