se corrige identatación en resúmenes; se saca a Tatiana Toro de plenaristas

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- categoria: Plenarias
charlas:
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
nombre: Jairo Bochi
afiliacion: Universidad Católica de Chile
web: http://www.mat.uc.cl/~jairo.bochi/
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
nombre: Mónica Clapp
afiliacion: UNAM
web: https://www.matem.unam.mx/fsd/mclapp
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
nombre: Alicia Dickenstein
afiliacion: Universidad de Buenos Aires
web: http://mate.dm.uba.ar/~alidick/
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
@ -31,36 +31,22 @@
web: https://impa.br/page-pessoas/milton-jara/
- titulo: A Robuster Scott Rank
abstract: |
Abstract: The Scott rank was introduced in the 60''s as a measure of
complexity for algebraic structures. There are various other ways to measure
the complexity of structures that give ordinals that are close to each other,
but are not necessarily equal. We will introduce a new definition of Scott rank
where all these different ways of measuring complexity always match, obtaining
what the author believes it the correct definition of Scott Rank. We won''t
assume any background in logic, and the talk will consist mostly of an introduction
to these topics.
Abstract: The Scott rank was introduced in the 60''s as a measure of complexity for algebraic structures. There are various other ways to measure the complexity of structures that give ordinals that are close to each other, but are not necessarily equal. We will introduce a new definition of Scott rank where all these different ways of measuring complexity always match, obtaining what the author believes it the correct definition of Scott Rank. We won''t assume any background in logic, and the talk will consist mostly of an introduction to these topics.
pdf: ''
speaker:
nombre: Antonio Montalbán
afiliacion: University of California, Berkeley
web: https://math.berkeley.edu/~antonio/
- titulo: ''
abstract: ''
pdf: ''
speaker:
nombre: Tatiana Toro
afiliacion: University of Washington
web: https://sites.math.washington.edu/~toro/
- categoria: Semiplenarias
charlas:
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
nombre: Eduardo Friedman
afiliacion: Universidad de Chile
web: http://www.uchile.cl/portafolio-academico/impresion.jsf?username=friedman
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
@ -69,35 +55,20 @@
web: http://wwwprof.uniandes.edu.co/~mvelasco/Velasco.html
- titulo: Weyl groupoids
abstract: |
The structure of the finite-dimensional semisimple complex Lie algebras
and groups is governed by the rich combinatorial notion of root systems. Root
systems had then a large number of applications in very dissimilar areas like
finite groups and singularities that through them show unexpected connections.
Some decades ago root systems appeared again in the study of a large class of
Hopf algebras named quantum groups. In the search of understanding the role
of these Hopf algebras in the general picture, it was proposed to study some
objects called Nichols algebras of diagonal type. The classification of those
with finite dimension was obtained by Heckenberger with a generalization of
the notion of root system as the primary tool. This notion, axiomatized later
by Heckenberger, Yamane and Cuntz, turned to be ubiquitous, appearing naturally
in the contexts of Lie superalgebras and modular Lie algebras. The richness
and beauty of these generalized root systems with their corresponding Weyl groupoids
is just starting to be unveiled. The purpose of the talk is to introduce generalized
root systems and Weyl groupoids explaining the relations with Lie algebras and
superalgebras, and quantum groups.
The structure of the finite-dimensional semisimple complex Lie algebras and groups is governed by the rich combinatorial notion of root systems. Root systems had then a large number of applications in very dissimilar areas like finite groups and singularities that through them show unexpected connections. Some decades ago root systems appeared again in the study of a large class of Hopf algebras named quantum groups. In the search of understanding the role of these Hopf algebras in the general picture, it was proposed to study some objects called Nichols algebras of diagonal type. The classification of those with finite dimension was obtained by Heckenberger with a generalization of the notion of root system as the primary tool. This notion, axiomatized later by Heckenberger, Yamane and Cuntz, turned to be ubiquitous, appearing naturally in the contexts of Lie superalgebras and modular Lie algebras. The richness and beauty of these generalized root systems with their corresponding Weyl groupoids is just starting to be unveiled. The purpose of the talk is to introduce generalized root systems and Weyl groupoids explaining the relations with Lie algebras and superalgebras, and quantum groups.
pdf: ''
speaker:
nombre: Nicolás Andruskiewitsch
afiliacion: Universidad Nacional de Córdoba
web: https://www.famaf.unc.edu.ar/~andrus/
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
nombre: Andrea Rotnizky
afiliacion: School of Public Health Harvard T.H. CHAN
web: https://www.hsph.harvard.edu/andrea-rotnitzky/
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
@ -107,30 +78,14 @@
- titulo: Breathers solutions and the generalized Korteweg-de Vries equation
abstract: |
This talk is centered in the generalized Korteweg-de Vries (KdV) equation
(1) \(∂_tu + ∂_x^3u + ∂_xf(u)=0, x, t ∈ R\). The case \(f(u) = u^2\) corresponds
to the famous KdV eq., and \(f(u) = u^3\) to the modified KdV eq. We shall review
some results concerning the initial value problem associated to the equation
(1). These include local and global well-posedness, existence and stability
of traveling waves, and the existence and non-existence of “breathers” solutions.
The aim is to understand how the non-linearity \(f(u)\) induces these results.
(1) \(∂_tu + ∂_x^3u + ∂_xf(u)=0, x, t ∈ R\). The case \(f(u) = u^2\) corresponds to the famous KdV eq., and \(f(u) = u^3\) to the modified KdV eq. We shall review some results concerning the initial value problem associated to the equation (1). These include local and global well-posedness, existence and stability of traveling waves, and the existence and non-existence of “breathers” solutions. The aim is to understand how the non-linearity \(f(u)\) induces these results.
pdf: ''
speaker:
nombre: Gustavo Ponce
afiliacion: University of California
web: http://web.math.ucsb.edu/~ponce/
- titulo: Transfer operators and atomic decomposition
abstract: Since the groundbreaking contributions of Ruelle, the study of transfer
operators has been one of the main tools to understand the ergodic theory of
expanding maps, that is, discrete dynamical systems that locally expand distances. Questions
on the existence of interesting invariant measures, as well the statistical
properties of such dynamics system, as exponential decay of correlations and
Central Limit Theorem, can be answered studying the spectral properties of the
action of these operators on suitable spaces of functions. Using the method
of atomic decomposition, we consider new Banach spaces of functions (that in
some cases coincides with Besov spaces) that have a remarkably simple definition
and allows us to obtain very general results on the quasi-compactness of the
transfer operator acting in these spaces, even when the underlying phase space
and expanding map are very irregular. Joint work with Alexander Arbieto (UFRJ-Brazil).
abstract: Since the groundbreaking contributions of Ruelle, the study of transfer operators has been one of the main tools to understand the ergodic theory of expanding maps, that is, discrete dynamical systems that locally expand distances. Questions on the existence of interesting invariant measures, as well the statistical properties of such dynamics system, as exponential decay of correlations and Central Limit Theorem, can be answered studying the spectral properties of the action of these operators on suitable spaces of functions. Using the method of atomic decomposition, we consider new Banach spaces of functions (that in some cases coincides with Besov spaces) that have a remarkably simple definition and allows us to obtain very general results on the quasi-compactness of the transfer operator acting in these spaces, even when the underlying phase space and expanding map are very irregular. Joint work with Alexander Arbieto (UFRJ-Brazil).
pdf: ''
speaker:
nombre: Daniel Smania
@ -138,28 +93,28 @@
web: http://conteudo.icmc.usp.br/pessoas/smania/
- categoria: Cursos
charlas:
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
nombre: Roberto Imbuzeiro
afiliacion: IMPA
web: https://impa.br/page-pessoas/roberto-imbuzeiro-oliveira/
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
nombre: Sebastian Hurtado
afiliacion: University of Chicago
web: https://math.uchicago.edu/~shurtados/
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
nombre: Isabel Hubard
afiliacion: UNAM
web: https://www.matem.unam.mx/fsd/hubard
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
@ -168,14 +123,14 @@
web: http://canzani.web.unc.edu/
- categoria: Públicas
charlas:
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker:
nombre: Eduardo Saez de Cabezón
afiliacion: Universidad de la Rioja
web: https://belenus.unirioja.es/~esaenz-d/
- titulo: ''
- titulo: TBA
abstract: ''
pdf: ''
speaker: