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In the 2026 Spring semester, the seminars will be held both online and in-person (TBD). Online talks are usually on Thursdays starting at 4:30 PM, and in-person talks will be on Mondays at 4:00 PM.
Organizers: Huai-Dong Cao, Andrew Harder, Ao Sun, Xiaofeng Sun.
If you are interested in participating in the seminar, please email Ao (aos223 at lehigh dot edu).
Monday 2/9/26 (In-person, 4:00 PM)
Speaker: Qi Sun (Wisconsin-Madison)
Title: Singularities of Curve Shortening Flow with Convex Projections
Abstract: Understanding singularity formation is an important topic in the study of geometric flows. Since Gage-Hamilton-Grayson’s foundational results, it has largely been unknown how singularities of curve shortening flow form in higher codimensions. In this talk, I will present my recent results that in n dim Euclidean space, any curve with a one-to-one convex projection onto some 2-plane develops a Type I singularity and becomes asymptotically circular under curve shortening flow. As a corollary, an analog of Huisken's conjecture for curve shortening flow is confirmed, in the sense that any closed immersed curve in n dim Euclidean space can be perturbed in n+2 dim Euclidean space to a closed immersed curve which shrinks to a round point under curve shortening flow.
Monday 3/4/26 (In-person, 4:00 PM)
Speaker: Alex Mramor (University of Oklahoma)
Title: TBD
Abstract: TBD
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