AIC Seminar: Johannes Aspman

On September 12, 2022 at 11:00 am, postdoctoral researcher Johannes Aspman will visit our department to give a talk on tame geometry. Accept our invitation to this seminar and meet the future member of Jakub Mareček's research group.

Lecturer

Johannes Aspman holds a PhD in Theoretical physics and mathematics from Trinity College Dublin where he worked on dualities in supersymmetric field theories, modular forms, black holes in String Theory and topological quantum field theory. He will be joining the Optimization group led by Jakub Mareček this semester.

Abstract

A gentle introduction to tame geometry
Recently, there has been much interest in the analysis of optimization algorithms for deep learning. So-called tame geometry emerges as a key framework for reasoning about such non-convex, but "nice" problems. In this talk, I will give a brief introduction to o-minimal structures and tame geometry. After introducing the basic concepts and results I will discuss the monotonicity and cell decomposition theorems. If time allows, I will discuss further compelling qualities of this interesting class of structures.