Urs Lang: Katalogdaten im Herbstsemester 2022 |
| Name | Herr Prof. Dr. Urs Lang |
| Lehrgebiet | Mathematik |
| Adresse | Professur für Mathematik ETH Zürich, HG G 27.3 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telefon | +41 44 632 60 11 |
| urs.lang@math.ethz.ch | |
| URL | http://www.math.ethz.ch/~lang |
| Departement | Mathematik |
| Beziehung | Ordentlicher Professor |
| Nummer | Titel | ECTS | Umfang | Dozierende | ||||||||||||||||||||
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| 401-3533-DRL | Generalized Nonpositive Curvature  Only for ZGSM (ETH D-MATH and UZH I-MATH) doctoral students. The latter need to register at myStudies and then send an email to info@zgsm.ch with their name, course number and student ID. Please see https://zgsm.math.uzh.ch/index.php?id=forum0 | 3 KP | 3V | U. Lang | ||||||||||||||||||||
| Kurzbeschreibung | CAT(0) spaces, Busemann convex spaces, metric spaces with convex geodesic bicombings; injective metric spaces and injective hulls; Gromov hyperbolicity, Helly graphs and Helly groups; fixed points, barycenter constructions, and applications. | |||||||||||||||||||||||
| Lernziel | ||||||||||||||||||||||||
| Skript | Lectures notes will be provided. | |||||||||||||||||||||||
| Literatur | - M. R. Bridson, A. Haefliger: Metric Spaces of Non-Positive Curvature, Springer 1999 - A. Papadopoulos: Metric Spaces, Convexity and Nonpositive Curvature, EMS 2005 - U. Lang: Injective hulls of certain discrete metric spaces and groups, J. Topol. Anal. 5 (2013), 297-331 - D. Descombes, U. Lang: Convex geodesic bicombings and hyperbolicity, Geom. Dedicata 177 (2015), 367-384 - J. Chalopin et al.: Weakly Modular Graphs and Nonpositive Curvature, Memoirs AMS 268 (2020), no. 1309 - J. Chalopin et al.: Helly groups, arXiv:2002.06895v2 [math.GR] | |||||||||||||||||||||||
| Voraussetzungen / Besonderes | Basic knowledge of Riemannian geometry and functional analysis will be assumed. | |||||||||||||||||||||||
Kompetenzen |
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| 401-3533-71L | Generalized Nonpositive Curvature | 6 KP | 3V | U. Lang | ||||||||||||||||||||
| Kurzbeschreibung | CAT(0) spaces, Busemann convex spaces, metric spaces with convex geodesic bicombings; injective metric spaces and injective hulls; Gromov hyperbolicity, Helly graphs and Helly groups; fixed points, barycenter constructions, and applications. | |||||||||||||||||||||||
| Lernziel | ||||||||||||||||||||||||
| Skript | Lecture notes will be provided. | |||||||||||||||||||||||
| Literatur | - M. R. Bridson, A. Haefliger: Metric Spaces of Non-Positive Curvature, Springer 1999 - A. Papadopoulos: Metric Spaces, Convexity and Nonpositive Curvature, EMS 2005 - U. Lang: Injective hulls of certain discrete metric spaces and groups, J. Topol. Anal. 5 (2013), 297-331 - D. Descombes, U. Lang: Convex geodesic bicombings and hyperbolicity, Geom. Dedicata 177 (2015), 367-384 - J. Chalopin et al.: Weakly Modular Graphs and Nonpositive Curvature, Memoirs AMS 268 (2020), no. 1309 - J. Chalopin et al.: Helly groups, arXiv:2002.06895v2 [math.GR] | |||||||||||||||||||||||
| Voraussetzungen / Besonderes | Basic knowledge of Riemannian geometry and functional analysis will be assumed. | |||||||||||||||||||||||
| Kompetenzen |
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| 401-5530-00L | Geometry Seminar | 0 KP | 1K | M. Burger, M. Einsiedler, P. Feller, A. Iozzi, U. Lang | ||||||||||||||||||||
| Kurzbeschreibung | Research colloquium | |||||||||||||||||||||||
| Lernziel | ||||||||||||||||||||||||