15:30 - 17:00, August 22, 2025 (Friday) Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
Moduli Spaces of Threefolds on the Noether Line Yong Hu (Shanghai Jiao Tong University)
Abstract
In this talk, we will introduce the 3-dimensional Noether inequality and completely classify the canonical threefolds on the Noether line with by studying their moduli spaces. For every such moduli space, we establish an explicit stratification, estimate the number of its irreducible components and prove the dimension formula. A new and unexpected phenomenon is that the number of irreducible components grows linearly with the geometric genus, while the moduli space of canonical surfaces on the Noether line with any prescribed geometric genus has at most two irreducible components of the same dimension. This is a joint work with S.Coughlan, R.Pignatelli and T.Zhang.
