Expository Talk by Prof. Ulrich Bauer (Geometric complexes and topological persistence: a panoramic view)

Date

2025年8月1日 (金) 14:00 〜 15:30

Location

L5D23 and zoom (L5D23: OIST campus, Lab 5, Room L5D23)

Description

Expository Talk by Prof. Ulrich Bauer (Technical University of Munich, Germany), as part of the Thematic Program TDA PARTI: Topological Data Analysis, Persistence And Representation Theory Intertwined.

Title: Geometric complexes and topological persistence: a panoramic view

Abstract: I will survey some theoretical and computational aspects of geometric complexes and their persistent homology (mostly in one parameter) and its use in topological data analysis. I will illustrate
* the construction of filtrations of spaces from geometric data;
* the structure of persistent homology, used as a topological descriptor;
* the interplay between geometry and topology in persistence;
* its stability with respect to data perturbations;
* and its connections to Morse theory.

These aspects will be motivated and illustrated by concrete examples and applications, such as:

* reconstruction and inference of a shape and its homology from a point cloud,

* faithful simplification of contours of a real-valued function,

* analysis of the evolution of a virus, and

* existence of unstable minimal surfaces.

Time: 14:00-15:30, August 1, 2025

Location: OIST, Lab 5, Floor D, Room L5D23

This talk will also be broadcast online via Zoom:
Zoom Link
Meeting ID: 947 8296 0593
Passcode: 584111

All-OIST Category:

講演

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