195 lines
8.0 KiB
YAML
195 lines
8.0 KiB
YAML
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---
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- categoria: Plenarias
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charlas:
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Jairo Bochi
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afiliacion: Universidad Católica de Chile
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web: http://www.mat.uc.cl/~jairo.bochi/
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Mónica Clapp
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afiliacion: UNAM
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web: https://www.matem.unam.mx/fsd/mclapp
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Alicia Dickenstein
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afiliacion: Universidad de Buenos Aires
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web: http://mate.dm.uba.ar/~alidick/
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Milton Jara
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afiliacion: Instituto de Matemática Pura e Aplicada
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web: https://impa.br/page-pessoas/milton-jara/
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- titulo: A Robuster Scott Rank
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abstract: |
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Abstract: The Scott rank was introduced in the 60''s as a measure of
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complexity for algebraic structures. There are various other ways to measure
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the complexity of structures that give ordinals that are close to each other,
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but are not necessarily equal. We will introduce a new definition of Scott rank
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where all these different ways of measuring complexity always match, obtaining
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what the author believes it the correct definition of Scott Rank. We won''t
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assume any background in logic, and the talk will consist mostly of an introduction
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to these topics.
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pdf: ''
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speaker:
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nombre: Antonio Montalbán
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afiliacion: University of California, Berkeley
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web: https://math.berkeley.edu/~antonio/
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Tatiana Toro
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afiliacion: University of Washington
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web: https://sites.math.washington.edu/~toro/
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- categoria: Semiplenarias
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charlas:
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Eduardo Friedman
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afiliacion: Universidad de Chile
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web: http://www.uchile.cl/portafolio-academico/impresion.jsf?username=friedman
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Mauricio Velasco
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afiliacion: Universidad de los Andes
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web: http://wwwprof.uniandes.edu.co/~mvelasco/Velasco.html
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- titulo: Weyl groupoids
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abstract: |
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The structure of the finite-dimensional semisimple complex Lie algebras
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and groups is governed by the rich combinatorial notion of root systems. Root
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systems had then a large number of applications in very dissimilar areas like
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finite groups and singularities that through them show unexpected connections.
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Some decades ago root systems appeared again in the study of a large class of
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Hopf algebras named quantum groups. In the search of understanding the role
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of these Hopf algebras in the general picture, it was proposed to study some
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objects called Nichols algebras of diagonal type. The classification of those
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with finite dimension was obtained by Heckenberger with a generalization of
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the notion of root system as the primary tool. This notion, axiomatized later
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by Heckenberger, Yamane and Cuntz, turned to be ubiquitous, appearing naturally
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in the contexts of Lie superalgebras and modular Lie algebras. The richness
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and beauty of these generalized root systems with their corresponding Weyl groupoids
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is just starting to be unveiled. The purpose of the talk is to introduce generalized
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root systems and Weyl groupoids explaining the relations with Lie algebras and
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superalgebras, and quantum groups.
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pdf: ''
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speaker:
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nombre: Nicolás Andruskiewitsch
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afiliacion: Universidad Nacional de Córdoba
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web: https://www.famaf.unc.edu.ar/~andrus/
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Andrea Rotnizky
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afiliacion: School of Public Health Harvard T.H. CHAN
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web: https://www.hsph.harvard.edu/andrea-rotnitzky/
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Helena Nussensveig
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afiliacion: Universidad Federal de Rio de Janeiro
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web: http://www.im.ufrj.br/hlopes/
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- titulo: Breathers solutions and the generalized Korteweg-de Vries equation
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abstract: |
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This talk is centered in the generalized Korteweg-de Vries (KdV) equation
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(1) \(∂_tu + ∂_x^3u + ∂_xf(u)=0, x, t ∈ R\). The case \(f(u) = u^2\) corresponds
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to the famous KdV eq., and \(f(u) = u^3\) to the modified KdV eq. We shall review
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some results concerning the initial value problem associated to the equation
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(1). These include local and global well-posedness, existence and stability
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of traveling waves, and the existence and non-existence of “breathers” solutions.
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The aim is to understand how the non-linearity \(f(u)\) induces these results.
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pdf: ''
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speaker:
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nombre: Gustavo Ponce
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afiliacion: University of California
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web: http://web.math.ucsb.edu/~ponce/
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- titulo: Transfer operators and atomic decomposition
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abstract: Since the groundbreaking contributions of Ruelle, the study of transfer
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operators has been one of the main tools to understand the ergodic theory of
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expanding maps, that is, discrete dynamical systems that locally expand distances. Questions
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on the existence of interesting invariant measures, as well the statistical
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properties of such dynamics system, as exponential decay of correlations and
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Central Limit Theorem, can be answered studying the spectral properties of the
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action of these operators on suitable spaces of functions. Using the method
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of atomic decomposition, we consider new Banach spaces of functions (that in
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some cases coincides with Besov spaces) that have a remarkably simple definition
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and allows us to obtain very general results on the quasi-compactness of the
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transfer operator acting in these spaces, even when the underlying phase space
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and expanding map are very irregular. Joint work with Alexander Arbieto (UFRJ-Brazil).
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pdf: ''
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speaker:
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nombre: Daniel Smania
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afiliacion: Universidade de São Paulo
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web: http://conteudo.icmc.usp.br/pessoas/smania/
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- categoria: Cursos
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charlas:
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- titulo: Algorithmic graph theory
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abstract: |
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Intersection graphs: interval graphs, chordal graphs, circular-arc graphs, circle graphs, permutation graphs.
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Characterizations and algorithms for combinatorial optimization problems on these classes.
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Graph decompositions: modular decomposition, cliquewidth, treewidth, pathwidth, thinness, clique-cutsets, claw-free graphs decompositions.
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Algorithms based on decompositions.
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Graph classes defined by forbidden induced subgraphs: structural properties and algorithmical applications.
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Bibliography:
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- Brandstadt A., Bang Le V. and Spinrad J., Graph classes: A survey, SIAM, 1999.
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- Golumbic M.C., Algorithmic graph theory and perfect graphs, Annals of Discrete Mathematics, Vol 57, 2004.
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- McKee T. and McMorris F., Topics in intersection graph theory, SIAM, 1999.
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Recent and classical papers.
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pdf: ''
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speaker:
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nombre: Flavia Bonomo
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afiliacion: Universidad de Buenos Aires
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web: https://staff.dc.uba.ar/fbonomo/
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Sebastian Hurtado
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afiliacion: University of Chicago
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web: https://math.uchicago.edu/~shurtados/
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Isabel Hubard
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afiliacion: UNAM
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web: https://www.matem.unam.mx/fsd/hubard
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Yaiza Canzani
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afiliacion: University of North Carolina
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web: http://canzani.web.unc.edu/
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- categoria: Públicas
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charlas:
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Eduardo Saez de Cabezón
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afiliacion: Universidad de la Rioja
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web: https://belenus.unirioja.es/~esaenz-d/
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- titulo: ''
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abstract: ''
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pdf: ''
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speaker:
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nombre: Ingrid Daubechis
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afiliacion: DUKE University
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web: https://ece.duke.edu/faculty/ingrid-daubechies
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