이번주에 예정되어 있는 콜로퀴움을 안내해드립니다.

* 일시 : 4. 9. (목), 17시-18시

* 장소 : 종합과학관 A동 317호

* 연사 : 이상혁 (서울대학교)

* 강연 분야: 조화해석학

* 강연 제목 : Damping Oscillatory Integrals of convex analytic functions

* 초록 : Oscillatory integrals are a fundamental object of study in harmonic analysis. Representative examples include Fourier coefficients and the Fourier transform. Quantitative estimates for oscillatory integrals play a crucial role across a wide range of mathematical areas including partial differential equations, and geometric measure theory.  However, in the presence of degenerate phases, sharp estimates are often not well understood. The optimal decay rates remain largely open in many settings.  In this talk, we discuss a method for obtaining sharp bounds for degenerate oscillatory integrals withconvex analytic phase functions, by introducing appropriate damping factors.We explain how damping can compensate for phase degeneracy and lead to optimal decay estimates. We will also present general principles underlying oscillatory integral estimates and discuss several applications of these results.

*대상: 수학과 학부생, 복수전공자 및 대학원생

*학부 재학 중 특강 4회 이상 참석은 수학과 졸업요건 입니다. (복수전공생도 동일 요건)