강연1: 
Title: Scale-invariant tangent-point energies for knots and fractional harmonic maps
 
Abstract:
I will report about the theory of minimizing and critical knots under a set of scale invariant knot energies, the so-called tangent-point energy.
We obtain lower semicontinuity and weak Sobolev-convergence of minimizing sequences to critical points away from finitely many points in the domain. Extending earlier work on Moebius-, and O'Hara energies we also obtain regularity for such critical points.
This is based on joint work with S. Blatt, Ph. Reiter, and N. Vorderobermeier.
 
강연2:
Title: On Calderon-Zygmund type estimates for nonlocal PDE

Abstract: I will report on progress obtained for the W^{s,p}-regularity theory for nonlocal/fractional equations of differential order 2s with bounded measurable Kernel.
Namely, under (not yet optimal) assumptions on the kernel we obtain W^{t,p}-estimates for suitable right-hand sides, where s< t < 2s.
Technically we compare such equations via a commutator estimate to a simpler fractional equation.
Based on joint works with M. Fall, T. Mengesha, S. Yeepo.