Speaker: Corina-Gabriela Ciobotaru, AIAS Fellow

Participate online via Zoom: https://aarhusuniversity.zoom.us/j/67215252700

Abstract

This will be a mathematical talk aimed for a non-mathematical audience. Its goal is to present fundamental theorems in probability theory (e.g. the Law of Large Number and Central Limit Theorem) that hold true for random data taking values in Grassmann manifolds. Such data arise for example in statistics in the setting of likelihood-based sufficient dimension reduction, in signal processing, or machine learning. This is based on a recent joint work with Christian Mazza from the University of Fribourg, Switzerland.

Short bio

Her field of research, called geometric group theory, is at the intersection of other Mathematical fields of research: harmonic analysis, ergodic theory, Lie theory and representation theory. For example, Lie theory aims to model the symmetries of our surrounding universe and is widely used in many areas of modern Mathematics and Physics. Beyond that, the Mathematical world is full of other types of symmetries. Her goal is to investigate those from a purely metric geometric point of view.  

See Corina-Gabriela Ciobotaru's project at AIAS.

What is an AIAS Seminar?

The AIAS Seminar is a session of seminars held by the AIAS fellow or by other speakers proposed by the fellows. In each seminar, one fellow will present and discuss his/her current research and research project, closing off with a question and discussion session.

All seminars are held in English.