Lectures on hyperbolic geometry and low dimensional topology · 2019-05-15 · Lectures on...

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Lectures on hyperbolic geometry and low dimensional topology Sang-hyun Kim Christopher Leininger Hugo Parlier Organisers: Pradthana Jaipong Supaluk Phothi Ser Peow Tan Chiang Mai University, Chiang Mai, Thailand July 18 - 19, 2019 These talks are preliminary lectures for the conference “Combinatorial and algebraic aspects of geometric structures” which will take place the following week. Mini-courses:

Transcript of Lectures on hyperbolic geometry and low dimensional topology · 2019-05-15 · Lectures on...

Page 1: Lectures on hyperbolic geometry and low dimensional topology · 2019-05-15 · Lectures on hyperbolic geometry and low dimensional topology Sang-hyun Kim Christopher Leininger Hugo

Lectures on hyperbolic geometry and low dimensional topology

Sang-hyun Kim Christopher Leininger

Hugo Parlier

Organisers: Pradthana Jaipong

Supaluk Phothi Ser Peow Tan

Chiang Mai University, Chiang Mai, Thailand July 18 - 19, 2019

These talks are preliminary lectures for the conference “Combinatorial and algebraic aspects of geometric structures” which will take place the following week.

Mini-courses:

3-manifolds geometry topology hyperbolic The and arithmeticofkyodo/kokyuroku/contents/pdf/1571-05.pdf · arithmetic Fuchsian and Kleinian groups, arithmetic hyperbolic 2 and 3-orbifolds

3-manifolds geometry topology hyperbolic The and arithmeticofkyodo/kokyuroku/contents/pdf/1571-05.pdf · arithmetic Fuchsian and Kleinian groups, arithmetic hyperbolic 2 and 3-orbifolds

Hyperbolic Eisenstein Series on $n$-dimensional Hyperbolic ...kyodo/kokyuroku/contents/pdf/2100-14.pdf · Hyperbolic Eisenstein Series on n‐dimensional Hyperbolic Spaces Yosuke

Hyperbolic Eisenstein Series on $n$-dimensional Hyperbolic ...kyodo/kokyuroku/contents/pdf/2100-14.pdf · Hyperbolic Eisenstein Series on n‐dimensional Hyperbolic Spaces Yosuke

LAVER’S RESULTS AND LOW-DIMENSIONAL TOPOLOGY … · laver’s results and low-dimensional topology

LAVER’S RESULTS AND LOW-DIMENSIONAL TOPOLOGY … · laver’s results and low-dimensional topology

LOCAL TOPOLOGY IN DEFORMATION SPACES OF HYPERBOLIC 3 …bromberg/papers/local.pdf · LOCAL TOPOLOGY IN DEFORMATION SPACES OF HYPERBOLIC 3-MANIFOLDS JEFFREY F. BROCK, KENNETH W. BROMBERG,

LOCAL TOPOLOGY IN DEFORMATION SPACES OF HYPERBOLIC 3 …bromberg/papers/local.pdf · LOCAL TOPOLOGY IN DEFORMATION SPACES OF HYPERBOLIC 3-MANIFOLDS JEFFREY F. BROCK, KENNETH W. BROMBERG,

Pogorelov polyhedra, Coxeter groups and … at Mohali, December 1{6, 2017 Pogorelov polyhedra, Coxeter groups and hyperbolic 3-manifolds When hyperbolic geometry, algebraic topology

Pogorelov polyhedra, Coxeter groups and … at Mohali, December 1{6, 2017 Pogorelov polyhedra, Coxeter groups and hyperbolic 3-manifolds When hyperbolic geometry, algebraic topology

Brandon Williams- Low Dimensional Topology

Brandon Williams- Low Dimensional Topology

Hyperbolic Equations : Scalar One-Dimensional Conservation Laws ...

Hyperbolic Equations : Scalar One-Dimensional Conservation Laws ...

The geometry and topology of arithmetic hyperbolic 3-manifolds · The geometry and topology of arithmetic hyperbolic 3-manifolds Alan W. Reid∗ May 12, 2007 1 Introduction This paper

The geometry and topology of arithmetic hyperbolic 3-manifolds · The geometry and topology of arithmetic hyperbolic 3-manifolds Alan W. Reid∗ May 12, 2007 1 Introduction This paper

n Dimensional Hyperbolic Numbers

n Dimensional Hyperbolic Numbers

One-Dimensional Computational Topology Notes

One-Dimensional Computational Topology Notes

THE TOPOLOGY OF FOUR-DIMENSIONAL MANIFOLDSmaths.dur.ac.uk/users/mark.a.powell/1982_The topology of four... · J. DIFFERENTIAL GEOMETRY 17 (1982) 357-453 THE TOPOLOGY OF FOUR-DIMENSIONAL

THE TOPOLOGY OF FOUR-DIMENSIONAL MANIFOLDSmaths.dur.ac.uk/users/mark.a.powell/1982_The topology of four... · J. DIFFERENTIAL GEOMETRY 17 (1982) 357-453 THE TOPOLOGY OF FOUR-DIMENSIONAL

Moving-Mesh Methods for One-Dimensional Hyperbolic ... · Keywords--Moving-mesh methods, Finite-volume methods, Hyperbolic conservation laws, Inter- face problems. 1. INTRODUCTION

Moving-Mesh Methods for One-Dimensional Hyperbolic ... · Keywords--Moving-mesh methods, Finite-volume methods, Hyperbolic conservation laws, Inter- face problems. 1. INTRODUCTION

Application-specific Topology-aware Mapping for Three Dimensional Topologies

Application-specific Topology-aware Mapping for Three Dimensional Topologies

TOPOLOGY AND DIMENSIONAL SYNTHESIS OF LINKAGE …

TOPOLOGY AND DIMENSIONAL SYNTHESIS OF LINKAGE …

LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIESv1ranick/papers/oliverwh.pdf111 Analytical and geometric aspects of hyperbolic space, D.B.A.EPSTEIN(ed) 112 Low-dimensional topology

LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIESv1ranick/papers/oliverwh.pdf111 Analytical and geometric aspects of hyperbolic space, D.B.A.EPSTEIN(ed) 112 Low-dimensional topology

Dynamics and geometry in infinite-dimensional hyperbolic spaces

Dynamics and geometry in infinite-dimensional hyperbolic spaces

The Topology of Bendless Orthogonal Three-Dimensional Graph

The Topology of Bendless Orthogonal Three-Dimensional Graph

Problems on Low-dimensional Topology, 2019ildt/prob19.pdf · Problems on Low-dimensional Topology, 2019 Edited by T. Ohtsuki1 This is a list of open problems on low-dimensional topology

Problems on Low-dimensional Topology, 2019ildt/prob19.pdf · Problems on Low-dimensional Topology, 2019 Edited by T. Ohtsuki1 This is a list of open problems on low-dimensional topology

Efficient Structural Update for Three-Dimensional Topology ... · Three-Dimensional Topology Optimization Problems Using Level Set Functions Emanuel Teichmann ... tion of a simulation

Efficient Structural Update for Three-Dimensional Topology ... · Three-Dimensional Topology Optimization Problems Using Level Set Functions Emanuel Teichmann ... tion of a simulation

Multi-Objective Topology Optimization for Bi-dimensional ... · Multi-Objective Topology Optimization for Bi-dimensional Structures ... In order to have the best quality and economic

Multi-Objective Topology Optimization for Bi-dimensional ... · Multi-Objective Topology Optimization for Bi-dimensional Structures ... In order to have the best quality and economic