수학과에서 아주 위상조합 세미나를 실시합니다.

많은 관심과 참여 부탁드립니다.

일시: 2023년 2월 16일 목요일 14:00

장소: 팔달관 621호

연사: 문현석 박사(고등과학원)

주제: A new bound for the Real Waring rank of Monomials

The Waring decomposition is the way of representing a homogeneous polynomial as the sum of power of linear forms. It is related to the tensor rank, secant variety and optimization problems. In this talk, we will introduce the known results about Waring rank and open problems related to it. Also, we will mainly consider the Waring rank of monomials over the real and the rational numbers. We give a new upper bound for it by establishing a way in which one can take a structured apolar set for any given monomial. Our bound is also lower than any other known general bounds for the real Waring rank.

주관: 기초과학연구소(자율운영 중점연구소지원사업)