Time: 9:30-12:00, Wednesday, October 30th
Venue: E4-233
Speaker: Ziyi Zhao
Titile: Unique Asymptotics of ancient solutions in Ricci flows
Abstract: Ancient $kappa$ solution as the candidate of singular model of Ricci flow plays an important role in the study of Ricci flow. Recently, Brendle and collaborators finished the classification of 3d ancient $kappa$ solutions completely. In this talk, I will focus on one of the steps, estimating the unique Asymptotics of compact ancient solutions in 3d Ricci flows. Moreover, I will introduce a similar work in 4d steady Ricci soliton.
ref: Ma, Z., Mahmoudian, H., Sesum, N., Unique Asymptotics of Steady Ricci Solitons with Symmetry, arXiv:2311.09405.
Angenent, S., Brendle, S., Daskalopoulos, P. and Sesum, N., Unique asymptotics of compact ancient solutions to three-dimensional Ricci flow, Comm. Pure Appl. Math. 75 (2022), 1032-1073.
Speaker: Yao Li
Title: On Coprimary Filtrations
Abstract: The coprimary filtration is a basic construction in commutative algebra. Recently, Chen and Jeannin proved the uniqueness of such filtration via Harder-Narasimhan theory. In this talk, I will introduce my recent work on the existence and uniqueness of coprimary filtration of modules (not necessarily finitely generated) over a Noetherian ring. Moreover, I will introduce its applications.
