Il giorno mercoledì 16 Novembre alle ore 11:30 in aula 3014 Tomasz Adamowicz (IMPAN, Varsavia) terrà il seguente seminario:
Title: Topics in geometry of level sets for harmonic functions on
smooth and singular surfaces
Abstract: One of the main themes of the talk are monotonicity
formulas for level sets of harmonic functions in Euclidean domains and
Riemannian surfaces, including the singular Alexandrov surfaces. Such
formulas allow for studying the logarithmic convexity of the length of
the level curves and related isoperimetric type inequalities. Related
are the studies of the geodesic curvature of the level curves and of
the steepest descent. If time permits, the case of A-harmonic
functions on smooth surfaces will be presented as well.
The talk is based on a joint work with Giona Veronelli
Title: Topics in geometry of level sets for harmonic functions on
smooth and singular surfaces
Abstract: One of the main themes of the talk are monotonicity
formulas for level sets of harmonic functions in Euclidean domains and
Riemannian surfaces, including the singular Alexandrov surfaces. Such
formulas allow for studying the logarithmic convexity of the length of
the level curves and related isoperimetric type inequalities. Related
are the studies of the geodesic curvature of the level curves and of
the steepest descent. If time permits, the case of A-harmonic
functions on smooth surfaces will be presented as well.
The talk is based on a joint work with Giona Veronelli
Argomento