Speaker: Stephen Lynch
Affilication: Tübingen

Abstract

Mean curvature flow is the gradient flow of the area functional, and the simplest analogue of the heat equation for a submanifold. Like the Ricci flow, it is an extremely useful tool for solving geometric problems, provided the singularities that form along the flow can be understood. We will briefly recount the major developments in the study of singularities in mean curvature flow, present a new classification result for Type I singularities, and discuss the most crucial open questions in this area.

About Pure mathematics seminars

We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.

Seminars are usually held on Tuesdays from 2 to 3pm.

Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.

Information for speakers

Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.

Contact us

To volunteer to talk or to suggest a speaker, email Ole Warnaar or Ramiro Lafuente.

Venue

Priestley Building (67)
Room: 
442