Shinya Okabe（Tohoku University） will deliver the Mathematics and Mathematical Sciences Global Special Lecture 4 as follows.
If you wish to attend, please register using the Google form below.

◆Dates and Times:
June 1 (Mon), 15:00–17:00
June 2 (Tue), 15:00–17:00
June 3 (Wed), 10:00–12:00 (Colloquium: 16:45–17:45)
June 4 (Thu), 14:00–16:00
June 5 (Fri), 15:00–17:00

◆Venue:
Room 110, Science Building No. 3, Graduate School of Science

Title:Introduction to Sobolev gradient flows on curves

abstract:
A gradient flow is an evolution equation that describes the process of steepest descent of a target functional in an appropriate sense. For example, the mean curvature flow can be understood as the L^2 gradient flow of the surface area of a surface. The curve-shortening flow, which can be interpreted as the one-dimensional version of the mean curvature flow, is the L^2 gradient flow of the length of a curve. In recent years, there has been research on considering more general Sobolev gradient flows for geometric functionals, such as the curve-shortening flow in the H^1 sense. This lecture will explain Sobolev gradient flows for several functionals defined on curves. If time permits, we will also discuss their applications to isoperimetric inequalities.

◆Registration:
Those who wish to attend are required to register via the Google Form.
Please access the form using the QR code or the URL below:

URL:https://forms.gle/yaaA8iXhhQeKDsvC6

---Registration Deadline
May 27 (Wed)

✧✧Notes✧✧

Mathematics and Mathematical Sciences Global Lecture IV is a core course of the Mathematics and Mathematical Sciences Innovation Human Resource Development Program.

To receive course credit, registration through KULASIS is required.
(Course registration period for first-semester courses: April 17 (Fri) – April 20 (Mon))

Auditing is permitted even without KULASIS registration (limited to Kyoto University students).
Registration via the Google Form is still required.

For further details, including abstracts of each special lecture, please visit the program website:
https://www.math.kyoto-u.ac.jp/ja/ktgu/courses