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School on
Low-Dimensional Geometry and Topology:
Discrete and Algorithmic Aspects

poster minimal surface Institut Henri Poincare

Click on the top left corner to access other lectures from the same speaker.

New: Slides! The slides of the talks are posted online when available, in the abstracts page.

Dates and Location. June 18–22, 2018, at Institut Henri Poincaré (IHP), in the center of Paris (map, directions).

Presentation. This is a one-week school devoted to low-dimensional geometry and topology, from both the viewpoints of mathematicians and computer scientists. It is aimed at graduate students and researchers in mathematics and computer science interested in geometric or topological aspects. This includes, not exhaustively, mathematicians working in differential, Riemannian, or topological geometry; and computer scientists working in computational geometry or topology. The goal is to foster interactions between these communities.

Speakers. The two main speakers, each giving about 90 minutes of lectures each of the five days of the week, are:

Jeff Erickson
Jeff Erickson (University of Illinois at Urbana-Champaign, USA)

Tentative title: Two-dimensional computational topology

Tentative abstract (see here for a more detailed tentative plan of the lectures). This series of lectures will describe recent and not-so-recent works in computational topology of curves in the plane and on surfaces. Combinatorial and algorithmic aspects will be discussed.

Joel Hass
Joel Hass (University of California at Davis, USA)

Title: Algorithms and complexity in the theory of knots and manifolds

Abstract (see here for a more detailed tentative plan of the lectures). These lectures will introduce algorithmic procedures to study Knots and 3-dimensional manifolds. Algorithmic questions have been part of the study of manifolds since the time of Dehn, and are finding increasing practicality as algorithms and hardware improve. The study of algorithmic procedures often points the way to interesting directions in the theoretical study of manifolds. We’ll begin by reviewing an easy algorithm to classify 2-manifolds, and then outline Markov's argument for the undecidability of 4-manifold recognition. We’ll then turn to 3-dimensions...(read more).

The following researchers will also give a presentation:

Registration. Registration is closed.

Related events.

Organizing committee. It consists of a team of mathematicians and computer scientists in the East of Paris who all belong to the Bézout Labex:

Acknowledgments. This school is funded by the Bézout Labex. We also gratefully acknowledge support from Institut Henri Poincaré. The image at the top of this page is a Chen Gackstatter surface created with 3D-Xplormath.

Contact. geomschool2018sep2listessep1univ-mlvsep1fr.

Labex Bezout    Institut Henri Poincare