On December 09, 2025 (Tuesday) at 14:15 in room 503 of IMI-BAS and online via Zoom Dr. Sebastian Tapia Garcia, research unit Variational Analysis, Dynamics and Operations Research, Vienna University of Technology
will give a talk at the Operations Research, Probability and Statistics Seminar on:

Differentiable functions with surjective generalized Jacobians.

Abstract: In this talk we start with a brief discussion about the possible values that the limiting and Clarke Jacobians can take in the class of differentiable locally Lipschitz functions (defined on finite dimensional spaces). Then, we construct a differentiable locally Lipschitz function \(f:R^n\to R^m\) such that, for any nonempty compact connected \(C \subset R^{n х m}\), we can find a point \(x\) in \(R^n\) such that \(C\) coincides with the limiting Jacobian of \(f\) at \(x\). In particular, the Clarke Jacobian of \(f\) ranges all its possible values.

This work has been done in collaboration with Aris Daniilidis and Robert Deville.

The Zoom link is
https://us02web.zoom.us/j/82516739771?pwd=bwANwCbtbc7nRDAOjo0HuoyarUauAS.1

Everyone interested in the topic is cordially invited to participate.