Người báo cáo:
Nguyễn Thạc Dũng
Thời gian: 9h00 (Giờ VN), thứ năm, ngày 06/04/2023.
Online: (google meet) https://meet.google.com/yyb-zhod-hdy?authuser=3&hl=vi
Tóm tắt: In this talk, I will introduce some rigidity theorems for complete translating solitons. Assume that the -norm of the trace-free second fundamental form is finite, for some and using a Sobolev inequality, we show that translators must be hyperspaces. Moreover, we also investigate a vanishing property for translators which states that there are no nontrivial weighted harmonic -forms on if the -norm of the second fundamental form is bounded. This talk is based on a joint work with H.T. Dung and T.Q. Huy.