Login for PhD students/staff at UCPH      Login for others
Mean Curvature Flow: Recent Progress on Singularity Analysis and Applications
Provider: Faculty of Science

Activity no.: 5569-24-07-31
Enrollment deadline: 24/04/2024
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time29.04.2024, at: 09:00 - 03.05.2024, at: 16:00
Regular seats30
ECTS credits2.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserNiels Martin Møller    E-mail address: nmoller@math.ku.dk
Written languageEnglish
Teaching languageEnglish
Exam formCourse participation
Exam detailsInformation will follow
Course workload
Course workload categoryHours
Preparation39.00
Lectures30.00
Sum69.00
Content
There has been recent progress on singularity analysis and subsequent applications of the mean curvature flow, by several groups of researchers, in problems involving the generic mean curvature flow and relatedly the low entropy Schoenflies problem.

The goal of the course is to give a substantial overview of these very recent, important results and the techniques involved directly from the experts that developed them.

Formel requirements
Masters with courses in geometry and PDE, as well as some exposure to minimal surfaces and geometric flows.

Learning outcome
Knowledge:
- Learn about the different approaches to the generic mean curvature flow by Schulze, Sun (and their collaborators)
- Learn about the low entropy schoenflies conjecture and the approaches to it by Bernstein, Schulze (and their collaborators)

Skills:
- Learn about some of the most important technical ingredients that go into the lecturers work.

Competences:
- To be able to apply the author’s techniques in their own work, if the occasion ever arises.

Target group
Fairly advanced grad students and postdocs in geometric analysis.

Teaching and learning methods
2 hour lectures by each lecturer per day of the masterclass week, with ample time for the participants to discuss with the lecturers and amongst themselves.

Lecturers
Jacob Bernstein, Johns Hopkins University
Ao Sun, Lehigh University
Felix Schulze, University of Warwick

Jacob Bernstein (JHU) and Felix Schulze (Warwick) are renowned senior mathematicians, with publications in many of the world’s top journals.
Ao Sun (Lehigh) is a younger but rising force in the field of geometric analysis.
Felix, with his collaborators (and based on estimates proven by Niels M. Møller et al.), has recently made very strong progress on generic mean curvature flow in dimension up to 5.
Ao Sun has also made very strong progress on developing generic mean curvature flow by a different approach.
Schulze and his collaborators used their generic mean curvature flow results to show a “low entropy Schoenflies” result in dimension 4. Bernstein and his collaborator showed this around the same time using the mean curvature flow but by a different technique by making progress on how the topology of the flow may change as one passes through an asymptotically conical singularity.

Remarks
Course coordinators: Alexander Mramor & Niels Martin Møller.

Read more and sign up at the course page: https://www.math.ku.dk/english/calendar/events/mean-curvature-flow-2024/

Search
Click the search button to search Courses.


Course calendar
See which courses you can attend and when
JanFebMarApr
MayJunJulAug
SepOctNovDec



Publication of new courses
All planned PhD courses at the PhD School are visible in the course catalogue. Courses are published regularly.