Thursday, June 15, 2023 - 15:00 in V2-205
Nonlocal Aspects in Geometric Analysis
A talk in the Mathematisches Kolloquium & Mathematisches Kolloquium (SFB 1283) series by
Armin Schikorra from University of Pittsburgh
| Abstract: |
A classical problem in the geometric calculus of variations is the
problem of finding particularly “nice” representatives within a class
of geometric objects. These representatives are usually achieved by
finding minimizer/maximizer/critical points of an energy functional
acting on these objects.
Quite surprisingly, even in very classical situations these questions
are intrinsically related to seemingly non-geometric notions like
fractional order derivatives.
We will discuss examples of minimal surfaces, harmonic maps between
manifolds and knot energies -- and observe the relation to "fractional
versions" of geodesics. We will also discuss to what extent these
observations are useful...
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