UCD School of Mathematics and Statistics Seminars

Josef Eberhard Greilhuber (Stanford University)

will speak on

Unique continuation from singular hypersurfaces

Time: 3:00PM
Date: Tue 27th January 2026
Location: E0.32 (beside Pi restaurant) [map]

Further information

Abstract: Given a subset of Euclidean space, one may ask for the space of harmonic functions which vanish on it. It turns out that in dimensions three and higher, there exist sets for which this space may be non-trivial but finite-dimensional. The prototypical example of such a set is a hypersurface with a conical singularity. We will also discuss the quantitative analogue of this problem: suppose a harmonic function on the unit ball is small on a hypersurface with conical singularity, can one estimate its supremum over the whole unit ball? This question turns out to be linked to a Diophantine approximation problem.

https://ucd-ie.zoom.us/j/67089103611

(This talk is part of the Analysis series.)

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