4-Dimensional Manifolds 2023

Conference Notes

File	Keywords
2023WiSe MSJ Spring Meeting 2024	Masaaki Ue - Constraints on intersection forms of 4-manifolds with given boundary in terms of Gauge theoretical invariants Spin-Struktur Heegaard-Floer Homologie Instanton Floer Theorie Monopol-Floer Homologie
Masaaki Ue - Constraints on intersection forms of 4-manifolds with given boundary in terms of Gauge theoretical invariants	Spin-Struktur Heegaard-Floer Homologie Instanton Floer Theorie Monopol-Floer Homologie
Alexander Polishchuk - Schwartz spaces associated with the stack of rank 2 bundles on a curve over a local field	Integral Structures in Geometry and Representation Theory field Algebraische Varietät
Amnon Neeman - Excellent metrics on triangulated categories	Integral Structures in Geometry and Representation Theory metrics coherent rings
Anna Wienhard - A beautiful world beyond hyperbolic geometry Anosov representations and higher Teichmüller spaces	Integral Structures in Geometry and Representation Theory Poincaré Scheibe Simplectic group Uniformization theorem Teichmüller-space Markov equation Morkov triple Triangulation Mostow rigidity Kleinsche Gruppe Limit set Quasi-Fuchsian subgroup Apollonian circle packing
Bertrand Remy - Wave equations on affine buildings and application to entropy lower bounds	Integral Structures in Geometry and Representation Theory
Damiano Rossi - The Brown complex of a finite reductve group	Integral Structures in Geometry and Representation Theory Simplizialkomplex Strongly p-embedded subgroup Finite group of Lie type Reductive group Bruhat-Tits building Cyclotomic polynomials Levi subgroup Homotopy equivalent Alperin Weight conjecture Euler characteristic Alperin Weight conjecture
Dipendra Prasad - Homological aspects of the branching problem GGP for p-adics	Integral Structures in Geometry and Representation Theory Representation compact groups Direct sum Cuspidal module Bessel model Locally finitely generated representation Hecke algebra Levi subgroup Bernstein decomposition Smooth representation Irreducible representation Bernstein block Noetherian ring Whittaker model Bernstein-Zelevinsky filtration Branching law Modul (Algebra) Projective module Iwahori block
Edgar Assing - On the unipotent mixing conjecture	Integral Structures in Geometry and Representation Theory horocycles Fundamentalbereich
Efim Zelmanov - Superconformal algebras	Integral Structures in Geometry and Representation Theory Virasoro algebra superconformal algebras Lie bracket Poisson bracket Contact bracket Cuspidal module
Emanuele Macri - Hyper-Kähler manifolds and Lagrangian fibrations	Integral Structures in Geometry and Representation Theory Hyper-Kähler manifold Kähler manifold K3 surfaces Lagrangian fibrations Complex manifold symplectic deformation equivalent SYZ conjecture Abelian variety Compactification
Gunter Malle - Modular representations of finite reductive groups	Integral Structures in Geometry and Representation Theory Representation finite groups Ordinary character Generalized character Lustig series Jordan decomposition Irreducible character Brauer character Unipotent character Levi subgroup Hecke algebra Central character McKay conjecture
Integral Structures in Geometry and Representation Theory	Alexander Polishchuk - Schwartz spaces associated with the stack of rank 2 bundles on a curve over a local field field Algebraische Varietät Amnon Neeman - Excellent metrics on triangulated categories metrics coherent rings Anna Wienhard - A beautiful world beyond hyperbolic geometry Anosov representations and higher Teichmüller spaces Poincaré Scheibe Simplectic group Uniformization theorem Teichmüller-space Markov equation Morkov triple Triangulation Mostow rigidity Kleinsche Gruppe Limit set Quasi-Fuchsian subgroup Apollonian circle packing Damiano Rossi - The Brown complex of a finite reductve group Simplizialkomplex Strongly p-embedded subgroup Finite group of Lie type Reductive group Bruhat-Tits building Cyclotomic polynomials Levi subgroup Homotopy equivalent Alperin Weight conjecture Euler characteristic Alperin Weight conjecture Dipendra Prasad - Homological aspects of the branching problem GGP for p-adics Representation compact groups Direct sum Cuspidal module Bessel model Locally finitely generated representation Hecke algebra Levi subgroup Bernstein decomposition Smooth representation Irreducible representation Bernstein block Noetherian ring Whittaker model Bernstein-Zelevinsky filtration Branching law Modul (Algebra) Projective module Iwahori block Edgar Assing - On the unipotent mixing conjecture horocycles Fundamentalbereich Efim Zelmanov - Superconformal algebras Virasoro algebra superconformal algebras Lie bracket Poisson bracket Contact bracket Cuspidal module Emanuele Macri - Hyper-Kähler manifolds and Lagrangian fibrations Hyper-Kähler manifold Kähler manifold K3 surfaces Lagrangian fibrations Complex manifold symplectic deformation equivalent SYZ conjecture Abelian variety Compactification Gunter Malle - Modular representations of finite reductive groups Representation finite groups Ordinary character Generalized character Lustig series Jordan decomposition Irreducible character Brauer character Unipotent character Levi subgroup Hecke algebra Central character McKay conjecture Ismael Morales - L2-homology and fixed points of automorphisms of free groups free group Johannes Kellendonk - Semigroup methods in aperiodic order theory Aperiodic tiling ergodic dynamical systems Finite local complexity Math box manifold Ergodic measure Luis Paris - Artin groups of type Dn Artin group Coxeter group Artin group Coxeter matrix Coxeter graph Artin group Coxeter Group Braid group Generalized Artin representation faithful Monodromy representation Semi-direct product Mapping class group Essential simple closed curve Geometric monodromy Classifying space Maria Cumplido - Retractions to parabolic subgroups in Artin groups beyond the even case Artin group Presentation Parabolic subgroup Spherical spherical Luis Paris - Artin groups of type Dn Maryna Viazovska - Random lattices with symmetries Lattice sphere packing Sebastian Bischof - Groups of Kac-Moody type over F2 Twin buildings Kac-Moody groups spherical buildings Coxeter system root (Building) Cayley-Graph Prenilpotent pair chambers Weyl distance Coxeter system RGD-System Root group (Building) Commutator blueprint Faithful commutator blueprint Weyl-invariant commutator blueprint Integrable commutator blueprint Sira Busch - Projectivity Groups of Spherical Buildings Buildings Moufang building Stephan Witzel - Arithmetic groups and their relatives CAT(k) Raum Building Bruhat-Tits exotic
Ismael Morales - L2-homology and fixed points of automorphisms of free groups	Integral Structures in Geometry and Representation Theory free group
Johannes Kellendonk - Semigroup methods in aperiodic order theory	Integral Structures in Geometry and Representation Theory Aperiodic tiling ergodic dynamical systems Finite local complexity Math box manifold Ergodic measure
Luis Paris - Artin groups of type Dn	Integral Structures in Geometry and Representation Theory Artin group Coxeter group Artin group Coxeter matrix Coxeter graph Artin group Coxeter Group Braid group Generalized Artin representation faithful Monodromy representation Semi-direct product Mapping class group Essential simple closed curve Geometric monodromy Classifying space
Maria Cumplido - Retractions to parabolic subgroups in Artin groups beyond the even case	Integral Structures in Geometry and Representation Theory Artin group Presentation Parabolic subgroup spherical Luis Paris - Artin groups of type Dn
Maryna Viazovska - Random lattices with symmetries	Integral Structures in Geometry and Representation Theory Lattice sphere packing
Sebastian Bischof - Groups of Kac-Moody type over F2	Integral Structures in Geometry and Representation Theory Twin buildings Kac-Moody groups spherical buildings Coxeter system root (Building) Cayley-Graph Prenilpotent pair chambers Weyl distance Coxeter system RGD-System Root group (Building) Commutator blueprint Faithful commutator blueprint Weyl-invariant commutator blueprint Integrable commutator blueprint
Sira Busch - Projectivity Groups of Spherical Buildings	Integral Structures in Geometry and Representation Theory Buildings Moufang building
Stephan Witzel - Arithmetic groups and their relatives	Integral Structures in Geometry and Representation Theory CAT(k) Raum Building Bruhat-Tits exotic
Andras Juhasz - The unknotting number, hard unknot diagrams and reinforcement learning	Intelligence of Low-Dimensional Topology 2024 Trivialisierungszahl Kreuzungszahl Torusknoten Trivialisierungszahl Primknoten
Hajime Kubota - Grid Homology and the connected sum of knots	Intelligence of Low-Dimensional Topology 2024 Grid homology Floer homology Invarianten Legendre Knoten Gitter-Diagramm Knoten Reidemeister Bewegung Kettenkomplex Künneth Formel Legendre Gitterinvariante
Intelligence of Low-Dimensional Topology 2024	Andras Juhasz - The unknotting number, hard unknot diagrams and reinforcement learning Trivialisierungszahl Kreuzungszahl Torusknoten Trivialisierungszahl Primknoten Hajime Kubota - Grid Homology and the connected sum of knots Grid homology Floer homology Invarianten Legendre Knoten Gitter-Diagramm Knoten Reidemeister Bewegung Kettenkomplex Künneth Formel Legendre Gitterinvariante Jun Murakami - On complexified tetrahedron for double twist knots Jones-Polynom Hyperbolisches Volumen Keisuke Himeno - Hyperbolic knots whose Upsilon invariants are complex knot Upsilon Invariante concordance invariant L-space hyperbolic knots R-Raum Upsilon Invariante Alternierender Knoten Kabelknoten Kleeblattschlinge Zopfabschluss Hyperbolischer Knoten Kettenkomplex L-Raum Gitter-Diagramm kumoto Konkordanz Upsilon Invariante Alexander-Polynom Torusknoten Brückenzahl Satellitenknoten Upsilon Invariante Kabelknoten L-Raum Kodai Wada - The orbit classification of Zm by the m-braid group braid group invariants Knoten n-Färbung Rationales Gewirr Braid group Rationale Tangles Reiner Zopf String Verschlingung Mai Katada - The first homology of the IA-automorphism groups of free groups with coefficients in spaces of Jacobi diagrams Kontsevich invariant Jacobi diagrams automorphism group free group IA-automorphism group normal subgroup IA-Automorphismengruppe innere Automorphismengruppe Torelli-Gruppe Abbildungsklassengruppe Automorphismengruppe Jacobi-Diagram Naoki Kimura - Classical invariants and rack coloring invariants of Legendrian knots Kontaktstruktur Legendre Knoten Legendre Isotopie Legendre Knoten Reidemeister Bewegung Legendre Reidemeister Bewegung Geschlecht (Knoten) Rack Quandle n-Färbung Problem session Quandle Reidemeister Bewegung Kodai Wada - The orbit classification of Zm by the m-braid group Sebastian Baader - Minimal topological cobordisms between torus links and 2-strand torus links Kobordismus Turaev-Viro Invariante Geschlossene Mannigfaltigkeit Geschlossene Mannigfaltigkeit Renaud Detcherry - On the volume conjecture for Turaev-Viro invariants of 3-manifolds Chen-Yang volume conjecture Turaev-Viro invariants Kashaev-Murakami-Murakami’s volume conjecture Jones polynomials pseudo-Anosov mapping classes Jones-Polynom Ideale Triangulation Hyperbolische Mannigfaltigkeit Jones-Polynom Turaev-Viro-Invariante Zusammenhängende Summe Achterknoten Borromäische Ringe Kabelknoten Achterknoten Turaev-Viro-Invariante Jones-Polynom Jones-Polynom Turaev-Viro-Invariante Pseudo-Anosovscher Homöomorphismus Sebastian Baader - Minimal topological cobordisms between torus links and 2-strand torus links Signaturinvariante Verschlingungsinvariante Seifert Matrix Torusverschlingung Zopfabschluss Verschlingungsinvariante Kobordismus
Jun Murakami - On complexified tetrahedron for double twist knots	Intelligence of Low-Dimensional Topology 2024 Jones-Polynom Hyperbolisches Volumen
Keisuke Himeno - Hyperbolic knots whose Upsilon invariants are complex	Intelligence of Low-Dimensional Topology 2024 knot Upsilon Invariante concordance invariant L-space hyperbolic knots R-Raum Upsilon Invariante Alternierender Knoten Kabelknoten Kleeblattschlinge Zopfabschluss Hyperbolischer Knoten Kettenkomplex L-Raum Gitter-Diagramm kumoto Konkordanz Upsilon Invariante Alexander-Polynom Torusknoten Brückenzahl Satellitenknoten Upsilon Invariante Kabelknoten L-Raum
Kodai Wada - The orbit classification of Zm by the m-braid group	Intelligence of Low-Dimensional Topology 2024 braid group invariants Knoten n-Färbung Rationales Gewirr Braid group Rationale Tangles Reiner Zopf String Verschlingung
Mai Katada - The first homology of the IA-automorphism groups of free groups with coefficients in spaces of Jacobi diagrams	Intelligence of Low-Dimensional Topology 2024 Kontsevich invariant Jacobi diagrams automorphism group free group IA-automorphism group normal subgroup IA-Automorphismengruppe innere Automorphismengruppe Torelli-Gruppe Abbildungsklassengruppe Automorphismengruppe Jacobi-Diagram
Naoki Kimura - Classical invariants and rack coloring invariants of Legendrian knots	Intelligence of Low-Dimensional Topology 2024 Kontaktstruktur Legendre Knoten Legendre Isotopie Legendre Knoten Reidemeister Bewegung Legendre Reidemeister Bewegung Geschlecht (Knoten) Rack Quandle n-Färbung
Problem session	Quandle Reidemeister Bewegung Kodai Wada - The orbit classification of Zm by the m-braid group Sebastian Baader - Minimal topological cobordisms between torus links and 2-strand torus links Kobordismus Turaev-Viro Invariante Geschlossene Mannigfaltigkeit Geschlossene Mannigfaltigkeit
Renaud Detcherry - On the volume conjecture for Turaev-Viro invariants of 3-manifolds	Intelligence of Low-Dimensional Topology 2024 Chen-Yang volume conjecture Turaev-Viro invariants Kashaev-Murakami-Murakami’s volume conjecture Jones polynomials pseudo-Anosov mapping classes Jones-Polynom Ideale Triangulation Hyperbolische Mannigfaltigkeit Jones-Polynom Turaev-Viro-Invariante Zusammenhängende Summe Achterknoten Borromäische Ringe Kabelknoten Achterknoten Turaev-Viro-Invariante Jones-Polynom Jones-Polynom Turaev-Viro-Invariante Pseudo-Anosovscher Homöomorphismus
Sebastian Baader - Minimal topological cobordisms between torus links and 2-strand torus links	Intelligence of Low-Dimensional Topology 2024 Signaturinvariante Verschlingungsinvariante Seifert Matrix Torusverschlingung Zopfabschluss Verschlingungsinvariante Kobordismus
Escolar - On interval covers and resolutions of persistence modules	Magnitude 2023
Giuliamaria Menara - Eulerian magnitude homology introduction and application to random graphs	Magnitudenhomologie (Graphtheorie)
Leinster - Magnitude homology equivalence of Euclidean sets (Joint work with Adrián Doña Mateo)	Magnitude 2023 Roff - Iterated Magnitude homology Magnitudenhomologie (Metrischer Raum)
Leinster - The many faces of magnitude	Magnitude 2023 Magnitude (angereicherte Kategorie) enriched categories monoidal category morphisms Euler characteristic Klassifizierender Raum metric space magnitude function Tutte polynomial Magnitudenhomologie (Graphtheorie) Entropie (Informationstheorie)
Magnitude 2023	Roff - Reachability homology and the magnitude-path spectral sequence Giuliamaria Menara - Eulerian magnitude homology introduction and application to random graphs Magnitudenhomologie (Graphtheorie) Leinster - Magnitude homology equivalence of Euclidean sets (Joint work with Adrián Doña Mateo) Roff - Iterated Magnitude homology Magnitudenhomologie (Metrischer Raum) Leinster - The many faces of magnitude Magnitude (angereicherte Kategorie) enriched categories monoidal category morphisms Euler characteristic Klassifizierender Raum metric space magnitude function Tutte polynomial Magnitudenhomologie (Graphtheorie) Entropie (Informationstheorie) Magnitude 2023 Roff - Reachability homology and the magnitude-path spectral sequence Meckes - A direct proof for the positive definiteness of four point metric spaces compact metric space Metrischer Raum von negativem Typ O’Hara - Residues of manifolds usual Richard Hepworth - Bigraded path homology Erreichbarkeitshomologie Roff - Iterated Magnitude homology Magnitudenhomologie (Metrischer Raum) Tsubasa Kamiyama - Metric fibrations over one-dimensional base spaces are trivial Metrische Faserung Tsukamoto - Introduction to mean dimension Dynamisches System Topological entropy
Meckes - A direct proof for the positive definiteness of four point metric spaces	Magnitude 2023 compact metric space Metrischer Raum von negativem Typ
O’Hara - Residues of manifolds	Magnitude 2023 usual
Richard Hepworth - Bigraded path homology	Erreichbarkeitshomologie
Roff - Iterated Magnitude homology	Magnitude 2023 Magnitudenhomologie (Metrischer Raum)
Takatsu - Geometry of sliced-disintegrated Monge—Kantorovich metrics	Magnitude 2023
Tsubasa Kamiyama - Metric fibrations over one-dimensional base spaces are trivial	Metrische Faserung
Tsukamoto - Introduction to mean dimension	Dynamisches System Topological entropy
Yoshinaga - Magnitude homotopy type	Magnitude 2023
Carl-Fredrik Nyberg-Brodda - On the freeness problem for parabolic subgroups of the sepcial linear group	freeness problem two matrices free group relation number
Erika Kuno - Automorphisms of fine curve graphs for nonorientable surfaces	Feiner Kurvengraph
Gyo Taek Jim	Cromwell Matrix
Honghao Gao - Legendrian Knots and Lagrangian fillings	Legendrian knots symplectic topology quiver symplektischen Differentialform
Jung Hoon Lee - Primitive curve complex for a handlebody	Kurvengraph
Katsumi Ishikawa - The trapezoidal conjecture for links of braid index 3	Alternierender Knoten
Kyungbae Park - The Alexander	Twisted torus knots torus knots Alexander polynomial Fox’s free differential calculus hyperbolic knots Heegard splittings Knotengruppe
Noriyuki Hamada - Exotic 4-manifolds with signature zero	Konferenz Hamada - Exotic 4-manifolds with signature zero via Lefschetz fibrations
Seungwon Kim - Knotted handlebody links in the 4-sphere	Seifert-Fläche
The 19th East Asian Conference on Geometric Topology	Carl-Fredrik Nyberg-Brodda - On the freeness problem for parabolic subgroups of the sepcial linear group freeness problem two matrices free group relation number Erika Kuno - Automorphisms of fine curve graphs for nonorientable surfaces Feiner Kurvengraph Gyo Taek Jim Cromwell Matrix Honghao Gao - Legendrian Knots and Lagrangian fillings Legendrian knots symplectic topology quiver symplektischen Differentialform Jung Hoon Lee - Primitive curve complex for a handlebody Kurvengraph Katsumi Ishikawa - The trapezoidal conjecture for links of braid index 3 Alternierender Knoten Kyungbae Park - The Alexander Twisted torus knots torus knots Alexander polynomial Fox’s free differential calculus hyperbolic knots Heegard splittings Knotengruppe Noriyuki Hamada - Exotic 4-manifolds with signature zero Konferenz Hamada - Exotic 4-manifolds with signature zero via Lefschetz fibrations Seungwon Kim - Knotted handlebody links in the 4-sphere Seifert-Fläche Wonjun Chang - The generalized Harer conjecture for the homology triviality Braid group Abbildungsklassengruppe Dehn-Twist Geschlossene Fläche Überlagerung
Wonjun Chang - The generalized Harer conjecture for the homology triviality	Braid group Abbildungsklassengruppe Dehn-Twist Geschlossene Fläche Überlagerung