8.º Congreso Iberoamericano de Geometría — Pucón 2023

del 10 al 15 de diciembre de 2023

CONGRESO
IBEROAMERICANO
DE GEOMETRÍA

Pucón – Chile

Centro de Excelencia Geometría en la Frontera
Universidad de La Frontera

Conferencistas plenarios

Sesiones especiales

35+

Charlas especiales

Días de actividades

Sobre el congreso

8º Congreso
Iberoamericano de Geometría

El 8º Congreso Iberoamericano de Geometría reunió a la comunidad matemática iberoamericana e internacional en Pucón, Chile, del 10 al 15 de diciembre de 2023. Fue la tercera vez que Chile acogió este distinguido congreso y la primera vez que fue organizado por el Centro de Excelencia Geometría en la Frontera de la Universidad de La Frontera.

El programa científico incluyó ocho conferencias plenarias dictadas por investigadores de reconocimiento internacional, así como cuatro sesiones especiales con aproximadamente 37 charlas contribuidas en las áreas de geometría algebraica de dimensión superior, sistemas dinámicos, superficies algebraicas y superficies de Riemann. El evento contó con la participación de más de quince países de América, Europa y Oceanía.

Conferencistas plenarios

CONFERENCISTAS PLENARIOS

Conferencista Plenario →

Alicia

DICKENSTEIN

Universidad de Buenos Aires, Argentina

Sparse systems with high local multiplicity

Conferencista Plenario →

Javier

FERNÁNDEZ DE BOBADILLA

Basque Center for Applied Mathematics (BCAM), Bilbao, España

Symplectic degenerations at radius 0 and their applications

Conferencista Plenario →

Luna

LOMONACO

Instituto de Matemática Pura e Aplicada (IMPA), Río de Janeiro, Brasil

Rational maps, kleinian groups and correspondences

Conferencista Plenario →

Andrés

NAVAS FLORES

Universidad de Santiago de Chile (USACH), Santiago, Chile

On the geometry and topology of diffeomorphisms groups

Conferencista Plenario →

Mihnea

POPA

Harvard University, Cambridge, MA, EE.UU.

When do varieties map to each other?

Conferencista Plenario →

Cecília

SALGADO

University of Groningen, Países Bajos

Mordell-Weil rank jumps on families of elliptic curves

Conferencista Plenario →

Valentino

TOSATTI

Courant Institute, New York University, EE.UU.

The volume function on projective varieties

Conferencista Plenario →

Ravi

VAKIL

Stanford University, Stanford, CA, EE.UU.

Bott periodicity, algebro-geometrically

Sesiones especiales

SESIONES ESPECIALES

Sesión 1

Geometría Algebraica de Dimensión Superior

Robert Auffarth (U. de Chile) · Juan Carlos Naranjo (U. Barcelona)

Intersection of two quadrics and Lagrangian fibrationArnaud Beauville · Université Côte d'Azur, Francia
Jacobians of hyperelliptic curves with involutionsPawel Borowka · Jagiellonian University, Polonia
Higher-dimensional Fano varietiesJoaquín Moraga · University of California Los Angeles, EE.UU.
Weil-Petersson volumes, stability conditions and wall-crossingScott Mullane · Melbourne University, Australia
Cyclic covers of an algebraic curve from an adelic viewpointFrancisco Plaza · Universidad de Salamanca, España
An introduction to the homology of intersection spacesAbraham Rojas · USP, Brasil
On the degree of irrationality of low genus K3 surfacesAndrés Rojas · Humboldt University, Alemania
Period matricesAnita Rojas · Universidad de Chile
Periods of algebraic cycles and applications to Hodge lociRoberto Villaflor · Pontificia Universidad Católica de Chile

Sesión 2

Sistemas Dinámicos

Mónica Moreno Rocha (CIMAT, México) · Felipe Riquelme (PUCV, Chile)

Quadratic rational maps with a critical n-cycleCaroline Davis · Indiana University, EE.UU.
PCF points in the Mandelbrot setLaura DeMarco · Harvard University, EE.UU.
Quasi-conformal conjugacies of the Bergweiler's familyAdrián Esparza Amador · Universidad Austral de Chile
Elephants in the Mandelbrot setAlexander Kapiamba · Brown University, EE.UU.
Quadratic Rational Maps and Asymptotics of TransversalityJan Kiwi · Pontificia Universidad Católica de Chile
Upper bounds of Herman rings for elliptic functionsMónica Moreno Rocha · CIMAT, México
Integrability of real vector fields in finite dimensionSalomón Rebollo · U. del Bío-Bío, Chile
On the geometry of positive cones in finitely generated groupsCristóbal Rivas · Universidad de Chile

Sesión 3

Superficies Algebraicas

Michela Artebani (U. Concepción) · Patricio Gallardo (UC Riverside, EE.UU.)

Group actions on K3 surfaces and IHS manifoldsPaola Comparin · Universidad de La Frontera, Chile
Tropical del Pezzo surfaces of low degreeMaría Angélica Cueto · Ohio State, EE.UU.
The Cone Conjecture for Blowups of the Projective PlaneLuíze D'Urso · IMPA, Río de Janeiro, Brasil
Bounds for many T-singularities in stable surfacesFernando Figueroa · Princeton University, EE.UU.
Blow-ups of weighted projective planes at a point: MDS propertyJavier González Anaya · Harvey Mudd College, EE.UU.
Automorphisms of quartic surfaces with Picard number twoDaniela Paiva · IMPA, Río de Janeiro, Brasil
Cox rings of anticanonical surfacesSofía Pérez Garbayo · Universidad de Concepción, Chile
Multisections and rank jumps for fibers of elliptic surfacesCecilia Salgado · University of Groningen
Geometry of the moduli space of marked cubic surfacesNolan Schock · University of Illinois Chicago, EE.UU.
On the Mori Cone of blow-ups of the planeMacarena Vilches · Universidad de Concepción, Chile

Sesión 4

Superficies de Riemann

Paul Apisa (U. Wisconsin–Madison) · Sebastián Reyes Carocca (U. de Chile)

Arithmetic v/s geometric complexity of simple closed geodesicsFrancisco Arana-Herrera · University of Maryland, EE.UU.
Long simple curves on hyperbolic surfacesAaron Calderon · University of Chicago, EE.UU.
Geometric structures on Riemann surfaces with non-trivial automorphismsGianluca Faraco · Università di Milano-Bicocca, Italia
Extending finite free actions of surfacesRubén A. Hidalgo · Universidad de La Frontera, Chile
Equisymmetric strata of dimension 1 in the branch locus of moduli spacesMilagros Izquierdo · Linköping University, Suecia
Hyperbolic geometry and end-periodic homeomorphismChristopher Leininger · Rice University, EE.UU.
Distinguishing filling curve types and special metricsSayantika Mondal · City University of New York, EE.UU.
Moduli problems, enumerative geometry and coding theoryÁngel Luis Muñoz Castañeda · U. León, España
The equicritical stratification and stratified braid groupsNick Salter · University of Notre Dame, EE.UU.

Programa oficial

PROGRAMA

09:30 – 11:00	Registro
11:00 – 11:30	Café
11:30 – 12:30	Conferencista Plenario When do varieties map to each other? Prof. Mihnea Popa · Harvard University, Cambridge, MA, EE.UU.
12:30 – 15:00	Almuerzo
15:00 – 16:00	Conferencista Plenario Bott periodicity, algebro-geometrically Prof. Ravi Vakil · Stanford University, Stanford, CA, EE.UU.
16:00 – 16:30	Café
16:30 – 18:00	Sesiones especiales S3 · Superficies Algebraicas 16:30–17:15 Group actions on K3 surfaces and IHS manifolds Paola Comparin · Universidad de La Frontera, Chile 17:15–18:00 Blow-ups of weighted projective planes: MDS property Javier González Anaya · Harvey Mudd College, EE.UU. S4 · Superficies de Riemann 16:30–17:15 Extending finite free actions of surfaces Rubén A. Hidalgo · Universidad de La Frontera, Chile 17:15–18:00 Long simple curves on hyperbolic surfaces Aaron Calderon · University of Chicago, EE.UU.
18:15 – 20:00	Ceremonia de apertura Ceremonia de apertura

09:30 – 11:00	Sesiones especiales S1 · Geometría Algebraica de Dim. Superior 09:30–10:00 On the degree of irrationality of low genus K3 surfaces Andrés Rojas · Humboldt University, Alemania 10:00–10:30 Weil-Petersson volumes, stability conditions and wall-crossing Scott Mullane · University of Melbourne, Australia 10:30–11:00 Periods of algebraic cycles and applications to Hodge loci Roberto Villaflor · Pontificia Universidad Católica de Chile S2 · Sistemas Dinámicos 09:30–10:00 Quadratic Rational Maps and Asymptotics of Transversality Jan Kiwi · Pontificia Universidad Católica de Chile 10:00–10:30 Quadratic rational maps with a critical n-cycle Caroline Davis · Indiana University, EE.UU. 10:30–11:00 Upper bounds of Herman rings for elliptic functions Mónica Moreno Rocha · CIMAT, México
11:00 – 11:30	Café
11:30 – 12:30	Conferencista Plenario Mordell-Weil rank jumps on families of elliptic curves Prof. Cecília Salgado · University of Groningen, Países Bajos
12:30 – 15:00	Almuerzo
15:00 – 16:00	Conferencista Plenario On the geometry and topology of diffeomorphisms groups Prof. Andrés Navas · Universidad de Santiago de Chile (USACH)
16:00 – 16:30	Café
16:30 – 18:00	Sesiones especiales S3 · Superficies Algebraicas 16:30–17:00 Tropical del Pezzo surfaces of low degree María Angélica Cueto · The Ohio State University, EE.UU. 17:00–17:30 The Cone Conjecture for Blowups of the Projective Plane Luíze D'Urso · IMPA, Río de Janeiro, Brasil 17:30–18:00 Automorphisms of quartic surfaces with Picard number two Daniela Paiva · IMPA, Río de Janeiro, Brasil S4 · Superficies de Riemann 16:30–17:15 Equisymmetric strata of dimension 1 in the branch locus of moduli spaces Milagros Izquierdo · Linköping University, Suecia 17:15–18:00 Geometric structures on Riemann surfaces with non-trivial automorphisms Gianluca Faraco · Università di Milano-Bicocca, Italia

09:30 – 11:00	Conferencista Plenario Sparse systems with high local multiplicity Prof. Alicia Dickenstein · Universidad de Buenos Aires, Argentina
11:00 – 11:30	Café
11:30 – 12:30	Conferencista Plenario Symplectic degenerations at radius 0 and their applications Prof. Javier Fernández de Bobadilla · BCAM, España
12:30	Tarde libre

09:30 – 11:00	Sesiones especiales S1 · Geometría Algebraica de Dim. Superior 09:30–10:15 Intersection of two quadrics and Lagrangian fibration Arnaud Beauville · Université Côte d'Azur, Francia 10:15–11:00 Period matrices Anita Rojas · Universidad de Chile, Chile S3 · Superficies Algebraicas 09:30–10:15 Bounds for many T-singularities in stable surfaces Fernando Figueroa · Princeton University, EE.UU. 10:15–11:00 Multisections and rank jumps for fibers of elliptic surfaces Cecilia Salgado · University of Groningen, Países Bajos
11:00 – 11:30	Café
11:30 – 12:30	Conferencista Plenario Rational maps, kleinian groups and correspondences Prof. Luna Lomonaco · IMPA, Río de Janeiro, Brasil
12:30 – 15:00	Almuerzo
15:00 – 16:00	Conferencista Plenario The volume function on projective varieties Prof. Valentino Tosatti · Courant Institute, New York University, EE.UU.
16:00 – 16:30	Café
16:30 – 18:00	Sesiones especiales S1 · Geometría Algebraica de Dim. Superior 16:30–17:15 Cyclic covers of an algebraic curve from an adelic viewpoint Francisco Plaza · Universidad de Salamanca, España 17:15–18:00 Jacobians of hyperelliptic curves with involutions Pawel Borowka · Jagiellonian University, Polonia S2 · Sistemas Dinámicos 16:30–17:00 On the geometry of positive cones in finitely generated groups Cristóbal Rivas · Universidad de Chile, Chile 17:00–17:30 Integrability of real vector fields in finite dimension Salomón Rebollo · Universidad del Bío-Bío, Chile 17:30–18:00 Quasi-conformal conjugacies of the Bergweiler's family Adrián Esparza · Universidad Austral de Chile S4 · Superficies de Riemann 16:30–17:15 The equicritical stratification and stratified braid groups Nick Salter · University of Notre Dame, EE.UU. 17:15–18:00 Distinguishing filling curve types and special metrics Sayantika Mondal · City University of New York, EE.UU.
20:00	Cena del congreso Cena del congreso

09:30 – 11:00	Sesiones especiales S3 · Superficies Algebraicas 09:30–10:00 Geometry of the moduli space of marked cubic surfaces Nolan Schock · University of Illinois Chicago, EE.UU. 10:00–10:30 On the Mori Cone of blow-ups of the plane Macarena Vilches · Universidad de Concepción, Chile 10:30–11:00 Cox rings of anticanonical surfaces Sofía Pérez Garbayo · Universidad de Concepción, Chile S4 · Superficies de Riemann 09:30–10:15 Moduli problems, enumerative geometry and coding theory Ángel Luis Muñoz Castañeda · Universidad de León, España 10:15–11:00 Arithmetic v/s geometric complexity of simple closed geodesics Francisco Arana-Herrera · University of Maryland, EE.UU.
11:00 – 11:30	Café
11:30 – 12:30	Sesiones especiales S1 · Geometría Algebraica de Dim. Superior 11:30–12:00 Higher-dimensional Fano varieties Joaquín Moraga · University of California Los Angeles, EE.UU. 12:00–12:30 An introduction to the homology of intersection spaces Abraham Rojas · Universidade de São Paulo, Brasil S2 · Sistemas Dinámicos 11:30–12:00 PCF points in the Mandelbrot set Laura DeMarco · Harvard University, EE.UU. 12:00–12:30 Elephants in the Mandelbrot set Alexander Kapiamba · Brown University, EE.UU.
12:30	Almuerzo · Ceremonia de clausura