YeungNam Seminar on Algebraic Geometry IX - 2022 Autumn

발표 연사

• 김신영 (기초과학연구원 기하학 수리물리 연구단)

• 한강진 (대구경북과학기술원)

일정

• 10월 14일(금) 15:00~15:30 등록 및 안내, 15:30~16:30 한강진(강연 I), 16:30~17:30 김신영(강연 I), 17:30~18:30 Discussion, 저녁 식사 & 진주성 및 남강변 산책.

• 10월 15일(토) 08:30~09:30 Discussion, 09:30~10:30 한강진(강연 II), 10:30~11:30 김신영(강연 II), 점심 식사, 개별 토의.

발표 제목 및 초록

• 김신영 (기초과학연구원 기하학 수리물리 연구단)

제목: An introduction to quasi-homogeneous varieties and their rational curves

초록: We introduce smooth projective quasi-homogeneous varieties, especially symmetric varieties and horospherical varieties. They have an algebraic group action with an open dense orbit and have finite closed orbits, so-called spherical varieties. Our main interest is the family of rational curves on smooth projective quasi-homogeneous varieties. Under the assumption of Picard number one, the families of minimal rational components are also smooth projective quasi-homogeneous varieties. We use these families of minimal rational curves to solve characterization and rigidity problems. This talk is based on work with K.-D. Park and based on work with J. Hong.

• 한강진 (대구경북과학기술원)

제목: On the Waring rank of some homogeneous forms

초록: In this series of talks, we consider the Waring rank of some symmetric tensors or homogeneous polynomials over the complex numbers. First we recall basic definitions, some preliminary methods, and its relation with other fields of research. We also review some previous results for bounding the rank due to Landsberg-Teitler, Ranestad-Schreyer, and others. In the second half, we focus on the case of complete symmetric polynomial for a given degree and a number of variables. I introduce some known results and techniques for them and also discuss the case of ternary symmetric polynomials in more detail, which is an on-going work with Z. Teitler.

참석자 명단

• 김선정 (경상국립대학교)

• 김신영 (기초과학연구원 기하학 수리물리 연구단)

• 김영락 (부산대학교)

• 박경동 (경상국립대학교)

• 박지훈 (기초과학연구원 기하학 수리물리 연구단/포항공과대학교)

• 이완석 (부경대학교)

• 장준명 (울산대학교)

• 정기룡 (경북대학교)

• 최영욱 (영남대학교)

• 한강진 (대구경북과학기술원)

• 홍규식 (전주대학교)

• 황동선 (기초과학연구원 복소기하학연구단)

• + α

YeungNam Seminar on Algebraic Geometry 지난 모임

• YeungNam Seminar on Algebraic Geometry I (2016년 11월, 영남대)

• YeungNam Seminar on Algebraic Geometry II (2017년 4월, 영남대)

• The 3rd Yeongnam workshop on algebraic geometry (2017년 12월, 포항 IBS-CGP) https://cgp.ibs.re.kr/conferences/the_3rd_yeongnam_workshop_on_algebraic_geometry/

• 4th YeungNam Workshop on Alegebraic Geometry (2018년 11월, DGIST) https://sites.google.com/view/ywag4th/

• YeungNam Seminar on Algebraic Geometry V (2019년 5월, 부경대)

• YeungNam Seminar on Algebraic Geometry VI (2019년 10월, 경북대) https://sites.google.com/site/ynseminarag/

• 영남 대수기하 워크샵 (2021년 10월, 대구) https://sites.google.com/view/21fall-yn-ag-workshop

• 영남대수기하학회 VIII (2022년 5월, 울산대) https://sites.google.com/view/ynseminarag2022