Department Seminars and Colloquium
İLKER İNAM (Bilecik Şeyh Edebali Üniversitesi)Number Theory Seminar
Fast Computation of Half-Integral Weight Modular Forms and a Sato-Tate Like Problem
İLKER İNAM (Bilecik Şeyh Edebali Üniversitesi)Number Theory Seminar
Representing Some Number Sequences as Products of Fibonacci-like Sequences
권민성 (KAIST)PH.D Defence
Parameter Spaces of Conics in Adjoint Varieties and Luna-Vust Theory
Sławomir Kołodziej (Jagiellonian University (Institute of Mathematics))Colloquium
Complex Monge-Ampère type equations and geometric applications
최도영 (KAIST)PH.D Defence
Normality and singularities of higher secant varieties
Graduate Seminars
SAARC Seminars
PDE Seminars
IBS-KAIST Seminars
Conferences and Workshops
Student News
Bookmarks
Research Highlights
Bulletin Boards
ICERM 프로그램 참가 경비 지원 안내 | 04. 01 | |
2025학년도 가을학기 대학원 입학 안내 | 03. 25 | |
2025학년도 가을학기 대학원 입학 필기시험 안내 | 03. 24 |
Problem of the week
We write \(tx = (tx_0,…,tx_5)\) for \(x=(x_0,…,x_5)\in \mathbb{R^{6}}\) and \(t\in \mathbb{R}\). Find all real multivariate polynomials \(P(x)\) in \(x\) satisfying the following properties:
(a) \(P(tx) = t^d P(x)\) for all \(t\in \mathbb{R}\) and \(x\in \mathbb{R}^{6}\), where \(0\leq d \leq 15\) is an integer;
(b) \(P(x) =0\) if \(x_i = x_j\) with \(i\neq j\).
KAIST Compass Biannual Research Webzine
We write \(tx = (tx_0,…,tx_5)\) for \(x=(x_0,…,x_5)\in \mathbb{R^{6}}\) and \(t\in \mathbb{R}\). Find all real multivariate polynomials \(P(x)\) in \(x\) satisfying the following properties:
(a) \(P(tx) = t^d P(x)\) for all \(t\in \mathbb{R}\) and \(x\in \mathbb{R}^{6}\), where \(0\leq d \leq 15\) is an integer;
(b) \(P(x) =0\) if \(x_i = x_j\) with \(i\neq j\).