Thursday, August 21, 2025

2025-08-21 / 17:00 ~ 18:00

SAARC 세미나 - SAARC 세미나:

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We consider a class of nonlinear measure data problems involving non-uniformly elliptic operators. The leading operator of the problem under consideration is characterized by the fact that its growth and ellipticity show drastic change with respect to the position. We present a new approach to local Calderón-Zygmund type gradient estimates for such a problem, identifying a new, natural structural assumption.

2025-08-21 / 16:00 ~ 17:00

SAARC 세미나 - SAARC 세미나:

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In this talk, we study nonlinear drift diffusion equations with measure valued external forces, focusing on the porous medium and fast diffusion regimes By introducing a new class of energy estimates that effectively handle both measure data and drift terms, we establish the existence of nonnegative weak solutions with gradient estimates under broad conditions on the drift This is joint work with Sukjung Hwang, Kyungkeun Kang, and Hwa Kil Kim.

2025-08-27 / 16:00 ~ 18:00

학과 세미나/콜로퀴엄 - 위상수학 세미나:

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This talk is based on joint work with Sungkyung Kang and JungHwan Park. We show that the (2n,1)-cable of the figure-eight knot has infinite order in the smooth concordance group, for any n≥1. The proof relies on the real κ-invariant, which satisfies a real version of the 10/8-inequality, in combination with techniques involving higher-order branched covers of knots and surfaces. Together with earlier work by Hom, Kang, Park, and Stoffregen, this result implies that any nontrivial cable of the figure-eight knot has infinite order in the smooth concordance group.

Events for the 취소된 행사 포함