R404 & 201, Astronomy-Mathematics Building, NTU
Speaker(s):
Simon Blatt (University of Salzburg)
Organizer(s):
Mao-Pei Tsui (National Taiwan University)
Abstract:
Fractional Sobolev spaces and fractional partial differential equations appear in many areas of current mathematics. In this series of lectures we will give an introduction to the topic and recent applications in geometric knot theory.
After Fukuhara introduced the concept of a knot energy, many implementations have appeared like rope-length, O'Hara's knot energies, integral Menger curvature, or so-called tangent point energies. There are intimate connections between these energies, fractional Sobolev spaces, and fractional operators.
We will start this series of talks with an introduction to geometric knot theory and fractional Sobolev spaces and operators. Afterwards, we will discuss in two lectures the regularity of critical points of knot energies and their negative gradient flows.
Schedule of the talks:
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Aug. 02 Tuesday RM 440
10:00-12:00 am, Introduction to Geometric Knot Theory
12:00-12:45 am, Free Discussion
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Aug. 03 Wednesday, RM 440
10-12 am, Fractional Sobolev spaces and the FractionalLaplacian
12:00-12:45 am, Free Discussion
10-12 am, Regularity of Critical Points
12:00-12:45 am, Free Discussion
10 -12 am, The Heat Flow
12:00-12:45 am, Free Discussion
Registration:
https://goo.gl/8zlI8b
Download:
Note 1: THE GRADIENT FLOW OF THE MO¨BIUS ENERGY: ε-REGULARITY AND CONSEQUENCES
Note 2:Max-Planck-Institut fu¨r Mathematik in den Naturwissenschaften Leipzig
Poster: events_3_63160710380164108.jpg
