1

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:

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

Download PDF Report

Upload
others
View
4
Download
1

Embed Size (px)

Citation preview

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:

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

Documents

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

Documents

Low dimensional topology and complex analysis (1)€¦ · Low dimensional topology and complex analysis (1) Yukio Matsumoto ... (3g − 3)-dimensional complex bounded domain (Ahlfors,

Low dimensional topology and complex analysis (1)€¦ · Low dimensional topology and complex analysis (1) Yukio Matsumoto ... (3g − 3)-dimensional complex bounded domain (Ahlfors,

Documents

One-Dimensional Computational Topology Notes

One-Dimensional Computational Topology Notes

Documents

Three-dimensional topology optimisation in architectural

Three-dimensional topology optimisation in architectural

Documents

Floer Homology, Gauge Theory, and Low-Dimensional Topology

Floer Homology, Gauge Theory, and Low-Dimensional Topology

Documents

Low-dimensional and Symplectic Topology, Volume 82 · Low-dimensional and symplectic topology : Georgia International Topology Conference, May 18–29, 2009, University of Georgia,

Low-dimensional and Symplectic Topology, Volume 82 · Low-dimensional and symplectic topology : Georgia International Topology Conference, May 18–29, 2009, University of Georgia,

Documents

Two-Dimensional Polymers: Playing with Structural Topology

Two-Dimensional Polymers: Playing with Structural Topology

Documents

Low Dimensional Topology

Low Dimensional Topology

Documents

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

Documents

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

Documents

Geometric Topology: Low-dimensional manifolds, groups and minimal surfaces

Geometric Topology: Low-dimensional manifolds, groups and minimal surfaces

Documents

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

Documents

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

Documents

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

Documents

Numerical methods for one-dimensional hyperbolic ... · Numerical Methods for One-Dimensional Hyperbolic Conservation Laws A.C. Berkenbosch, E.F. Kaasschieter and J.H.M. ten Thije

Numerical methods for one-dimensional hyperbolic ... · Numerical Methods for One-Dimensional Hyperbolic Conservation Laws A.C. Berkenbosch, E.F. Kaasschieter and J.H.M. ten Thije

Documents

Algorithms and Data Structures for Low-Dimensional Topology

Algorithms and Data Structures for Low-Dimensional Topology

Documents

Feynman diagrams and low-dimensional topology - IHESmaxim/TEXTS/Feynman diagrams and low-dimensional... · Feynman diagrams and low-dimensional topology Maxim Kontsevich October 6,

Feynman diagrams and low-dimensional topology - IHESmaxim/TEXTS/Feynman diagrams and low-dimensional... · Feynman diagrams and low-dimensional topology Maxim Kontsevich October 6,

Documents

Dynamics and geometry in infinite-dimensional hyperbolic spaces

Dynamics and geometry in infinite-dimensional hyperbolic spaces

Documents

Three-dimensional Topology of Hairpin Packet Structure in

Three-dimensional Topology of Hairpin Packet Structure in

Documents

The Topology of Bendless Orthogonal Three-Dimensional ...eppstein/0xDE/xyz-Tucson.pdf · The Topology of Bendless Orthogonal Three-Dimensional Graph Drawing David Eppstein Computer

The Topology of Bendless Orthogonal Three-Dimensional ...eppstein/0xDE/xyz-Tucson.pdf · The Topology of Bendless Orthogonal Three-Dimensional Graph Drawing David Eppstein Computer

Documents

Feynman Diagrams and Low-Dimensional Topology · Feynman Diagrams and Low-Dimensional Topology Maxim Kontsevich We shall describe a program here relating Feynman diagrams, topology

Feynman Diagrams and Low-Dimensional Topology · Feynman Diagrams and Low-Dimensional Topology Maxim Kontsevich We shall describe a program here relating Feynman diagrams, topology

Documents

Jacobi identities in low-dimensional topology€¦ · Jacobi identities in low-dimensional topology James Conant, Rob Schneiderman and Peter Teichner Abstract The Jacobi identity

Jacobi identities in low-dimensional topology€¦ · Jacobi identities in low-dimensional topology James Conant, Rob Schneiderman and Peter Teichner Abstract The Jacobi identity

Documents

Hidden Truncation Hyperbolic Distributions, Finite ... · a multivariate generalized hyperbolic distribution such that its univariate margins are one-dimensional hyperbolic distributions

Hidden Truncation Hyperbolic Distributions, Finite ... · a multivariate generalized hyperbolic distribution such that its univariate margins are one-dimensional hyperbolic distributions

Documents

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

Documents

Low dimensional topology and complex analysis (1)

Low dimensional topology and complex analysis (1)

Documents

TOPOLOGY AND DIMENSIONAL SYNTHESIS OF LINKAGE …

TOPOLOGY AND DIMENSIONAL SYNTHESIS OF LINKAGE …

Documents

Hyperbolic Equations : Scalar One-Dimensional Conservation Laws

Hyperbolic Equations : Scalar One-Dimensional Conservation Laws

Documents

The geometry and topology of arithmetic hyperbolic 3-manifoldsar99/kyoto2.pdf · 2017. 10. 2. · The geometry and topology of arithmetic hyperbolic 3-manifolds Alan W. Reid∗ May

The geometry and topology of arithmetic hyperbolic 3-manifoldsar99/kyoto2.pdf · 2017. 10. 2. · The geometry and topology of arithmetic hyperbolic 3-manifolds Alan W. Reid∗ May

Documents

LOW—DIMENSIONAL TOPOLOGY AND HIGHER—ORDER CATEGORIESmaths.mq.edu.au/~street/LowDTop.pdf · LOW—DIMENSIONAL TOPOLOGY AND HIGHER—ORDER CATEGORIES Ross Street Collaborators:

LOW—DIMENSIONAL TOPOLOGY AND HIGHER—ORDER CATEGORIESmaths.mq.edu.au/~street/LowDTop.pdf · LOW—DIMENSIONAL TOPOLOGY AND HIGHER—ORDER CATEGORIES Ross Street Collaborators:

Documents