Workshop on Fano spherical varieties - 2026
February 2 - 6, 2026 at Gyeongsang National University
February 2 - 6, 2026 at Gyeongsang National University
Spherical varieties form a remarkable class of algebraic varieties equipped with an action of an algebraic group, which contains several classes such as toric varieties, rational homogeneous varieties, symmetric varieties, horospherical varieties, wonderful varieties. This is a workshop on geometry of spherical varieties, Fano varieties, and related topics.
Schedule: February 2 (Mon) - 6 (Fri), 2026
Venue: Gyeongsang National University, Building 354 Room 120 (501 Jinju-daero, Jinju-si, Gyeongsangnam-do, Republic of Korea)
Organizers: DongSeon Hwang (Institute for Basic Science), Kyeong-Dong Park (Gyeongsang National University)
Supported by National Research Foundation of Korea(2021R1A2C1093787, RS-2021-NR062093) and GNU G-LAMP Program(RS-2023-00301974) & RIMA.
Lorenzo Barban (IBS Center for Complex Geometry)
Yonghwa Cho (Gyeongsang National University)
Sung Rak Choi (Yonsei University)
Jaehyun Hong (IBS Center for Complex Geometry)
DongSeon Hwang (IBS Center for Complex Geometry)
Taekgyu Hwang (IBS Center for Complex Geometry)
Minyoung Jeon (IBS Center for Complex Geometry)
In-Kyun Kim (KIAS)
Shin-young Kim (Kangwon National University)
Minseong Kwon (Morningside Center of Mathematics in AMSS, CAS)
Donggun Lee (IBS Center for Complex Geometry)
Eunjeong Lee (Chungbuk National University)
Yingqi Liu (IBS Center for Complex Geometry)
Zhijun Luo (IBS Center for Complex Geometry)
Haesong Seo (IBS Center for Complex Geometry)
Guolei Zhong (IBS Center for Complex Geometry)
February 2 (Mon) 14:00~15:00 Registration & Discussion, 15:00~16:00 Talk 1, 16:20~17:20 Talk 2, 18:00~ Dinner
February 3 (Tue) 09:30~10:30 Talk 3, 10:50~11:50 Talk 4, 12:00~14:00 Lunch, 14:00~15:00 Talk 5, 15:20~16:20 Talk 6, 16:40~17:40 Talk 7, 18:00~ Dinner
February 4 (Wed) 09:30~10:30 Talk 8, 10:50~11:50 Talk 9, 12:00~14:00 Lunch, 14:00~18:00 Discussion for joint works
February 5 (Thur) 09:30~10:30 Talk 10, 10:50~11:50 Talk 11, 12:00~14:00 Lunch, 14:00~15:00 Talk 12, 15:20~16:20 Talk 13, 16:40~17:40 Talk 14, 18:00~ Dinner
February 6 (Fri) 09:30~10:30 Talk 15, 10:50~11:50 Talk 16, 12:00~14:00 Lunch, 14:00~18:00 Discussion
Lorenzo Barban (IBS Center for Complex Geometry)
Title: An algebro-geometric cobordism for birational maps among Mori dream spaces
Abstract: In this talk we construct geometric realizations, that is an algebro-geometric version of cobordism, for birational maps among Mori Dream Spaces. We show that these geometric realizations are Mori Dream Spaces as well, and that they can be constructed so that they induce factorizations of the original birational map as compositions of wall-crossings. We present toric examples and discuss when a geometric realization is Fano. This seminar is based on a joint work with G. Occhetta and L. Solá Conde.
Yonghwa Cho (Gyeongsang National University)
Title: TBA
Abstract: TBA
Sung Rak Choi (Yonsei University)
Title: TBA
Abstract: TBA
Jaehyun Hong (IBS Center for Complex Geometry)
Title: TBA
Abstract: TBA
DongSeon Hwang (IBS Center for Complex Geometry)
Title: TBA
Abstract: TBA
Taekgyu Hwang (IBS Center for Complex Geometry)
Title: TBA
Abstract: TBA
In-Kyun Kim (KIAS)
Title: TBA
Abstract: TBA
Shin-young Kim (Kangwon National University)
Title: TBA
Abstract: TBA
Minseong Kwon (Morningside Center of Mathematics in AMSS, CAS)
Title: TBA
Abstract: TBA
Donggun Lee (IBS Center for Complex Geometry)
Title: TBA
Abstract: TBA
Eunjeong Lee (Chungbuk National University)
Title: TBA
Abstract: TBA
Yingqi Liu (IBS Center for Complex Geometry)
Title: TBA
Abstract: TBA
Zhijun Luo (IBS Center for Complex Geometry)
Title: TBA
Abstract: TBA
Haesong Seo (IBS Center for Complex Geometry)
Title: TBA
Abstract: TBA
Guolei Zhong (IBS Center for Complex Geometry)
Title: Dynamical toric conjecture in dimension three
Abstract: A surjective holomorphic self-map of a projective manifold is said to have dominant topological degree if its last dynamical degree is strictly larger than the other dynamical degrees. Several previous works by Meng-Zhang and Yoshikawa show that, equipped with such a self-map, the underlying manifold, up to a finite cover, admits a Fano type fibration over an abelian variety. Moreover, it is conjectured that a general periodic fiber must be toric. In this talk, I will survey our recent progress toward this conjecture from the aspects of the equivariant minimal model program and the positivity of tangent bundle.
Workshop on Fano spherical varieties - 2025 (February 3-7, 2025), Yonsei University, Seoul, Korea.
Workshop on Fano spherical varieties - 2024 Spring (February 14-17, 2024), Gyeongsang National University, Jinju, Korea.
Workshop on Fano spherical varieties - 2022 Spring (February 3-5, 2022), Online Workshop.