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Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups (2025)

Instituto de Matemática Pura e Aplicada via YouTube

Overview

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Attend a comprehensive conference and workshop series exploring cutting-edge developments in hyperbolic geometry and hyperbolic group theory. Delve into recent advances through presentations by leading international mathematicians covering topics such as generalized pseudo-Anosov mapping tori, minimal submanifolds in locally symmetric spaces, exotic finiteness properties from complex Morse theory, and renormalized volume applications. Examine hyperbolic manifolds and their smooth structures, right-angled Coxeter groups, semi-arithmetic Fuchsian groups, and trialitarian hyperbolic manifolds with their geodesic submanifolds. Explore advanced concepts including Loewner Energy, Weil-Petersson gradient flows, bounded cohomology of hyperbolic manifolds, and branched covers of hyperbolic manifolds. Participate in specialized mini-courses on exotic negatively curved manifolds, building hyperbolic manifolds with Coxeter polytopes, and arithmetic hyperbolic manifolds with their totally geodesic submanifolds. Gain insights from distinguished speakers from institutions including University of Chicago, Brown University, Sorbonne University, Yale University, and University of Bonn, among others. Access both the main conference presentations and the subsequent graduate-level workshop designed to provide in-depth introductions to key conference topics, organized in partnership with the Clay Mathematics Institute and NSF.

Syllabus

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Bena Tshishiku
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Gregory Cosac
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Jean-François Lafont
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Ben Lowe
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Bruno Martelli
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Nikolay Bogachev
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Leone Slavich
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Genevieve Walsh
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Sebastian Hurtado
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Roberto Frigerio
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Sami Douba
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Ursula Hamenstadt
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Daniel Groves
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - André Salles de Carvalho
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Martin Bridgeman
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Andrés Sambarino
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Claudio Llosa-Isenrich
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Monika Kudlinska
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Franco Vargas
Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups - Jessica Purcell
Hyperbolic Manifolds, Their Submanifolds and... - Mini-course 1 - Bena Tshishiku - 01
Hyperbolic Manifolds, Their Submanifolds and... - Mini-course 1 - Bena Tshishiku - 02
Hyperbolic Manifolds, Their Submanifolds and... - Mini-course 1 - Bena Tshishiku - 03
Hyperbolic Manifolds, Their Submanifolds and... - Mini-course 2 - Matthew Stover - 01
Hyperbolic Manifolds, Their Submanifolds and... - Mini-course 2 - Mikhail Belolipetsky - 02
Hyperbolic Manifolds, Their Submanifolds and... - Mini-course 2 - Matthew / Mikhail - 03
Hyperbolic Manifolds, Their Submanifolds and... - Mini-course 3 - Giovanni Italiano - 01
Hyperbolic Manifolds, Their Submanifolds and... - Mini-course 3 - Giovanni Italiano - 02
Hyperbolic Manifolds, Their Submanifolds and... - Mini-course 3 - Giovanni Italiano - 03

Taught by

Instituto de Matemática Pura e Aplicada

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