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

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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 (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 (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:

• Jose Ayala (University of Melbourne Australia)
• Bruno Benedetti (University of Miami, USA)
• Benjamin Burton (University of Queensland, Australia)
• Erin Chambers (Saint Louis University, USA)
• Gregory Chambers (Rice University, USA) (cancelled)
• Moira Chas (Stony Brooke University, USA) (cancelled)
• Marcos Cossarini (IMPA, Brazil)
• Francis Lazarus (CNRS, Gipsa-Lab, France)
• Hugo Parlier (University of Luxembourg)
• Saul Schleimer (University of Warwick, UK)
• Eric Sedgwick (DePaul University, USA)
• Marina Ville (CNRS, University of Tours, France)
• Uli Wagner (IST Austria) (cancelled)
• Yusu Wang (Ohio State University, USA)

Registration. Registration is closed.

Related events.

• CG Week 2018 and the 34th International Symposium on Computational Geometry (SoCG) will take place in Budapest, Hungary, the preceding week.
• Algebraic Topological Methods in Computer Sciences (ATMCS) will take place at IST Austria, close to Vienna, the following week.
• Teichmüller dynamics, mapping class groups and applications, a summer school/conference, will take place in Grenoble, France, June 11-30 (thus overlapping this school).

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

• Éric Colin de Verdière (CNRS, LIGM, Université Paris-Est Marne-la-Vallée)
• Xavier Goaoc (LIGM, Université Paris-Est Marne-la-Vallée)
• Laurent Hauswirth (LAMA, Université Paris-Est Marne-la-Vallée)
• Alfredo Hubard (LIGM, Université Paris-Est Marne-la-Vallée)
• Stéphane Sabourau (LAMA, Université Paris-Est Créteil)

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. geomschool2018listesuniv-mlvfr.