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)
On the Nash Problem over 3-fold Terminal Singularities
Keng-Hung Lin (University of Oklahoma)
Abstract
Let X be a singular variety over complex numbers. Nash proposed an approach to use families of arcs based the singular locus of X, inducing the so-called Nash valuations, to characterize divisorial valuations appearing in every resolution of singularities over X, which are called essential valuations. In particular, Nash prove that every Nash valuation is essential, so it’s natural to ask if every essential valuation is corresponded by some Nash valuation, which is called the Nash problem over X.
In this talk, I will briefly introduce the Nash problem, including the backgrounds/developments, and then talk about my current works(in progress) on the Nash problem over 3-fold terminal singularities.
Organizer: Jungkai Chen (NTU)
