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| 3.FEEC — NSF/CBMS Conference: Finite Element Exterior Calculus |
| Dates | 11 Jui 2012 → 15 Jui 2012 | [ID=451699]  |
| Lieu | Providence, RI, États-Unis |
| Résumé | FEEC is a recent advance in the mathematics of finite element methods that employs differential complexes to construct stable numerical schemes for several important types of application problems. It has aroused great interest because it both presents interesting mathematical problems and shows great potential for application in computational science and engineering. The concentrated sequence of lectures in this program will provide participants with an understanding of the mathematical tools required to fully grasp the concepts in FEEC. ICERM is pleased to host this NSF-CBMS Regional Research Conference. |
| Page web | http://icerm.brown.edu/tw12-2-cbms |
| Sujets apparentés | Calcul infinitésimal, équations différentielles et intégrales |
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| 4.NSF/CBMS Regional Conference in the Mathematical Sciences: Hodge Theory, Complex Geometry, and Representation Theory |
| Dates | 18 Jui 2012 → 22 Jui 2012 | [ID=436231] |
| Lieu | Texas Christian University, Fort Worth, États-Unis |
| Résumé | This is a CBMS Conference featuring Phillip Griffiths (Institute for Advanced Study) as principal speaker. Prof. Griffiths will describe recent progress on automorphic cohomology beyond the classical cases. The material involved is at the confluence of several parts of mathematics: Hodge theory, representation theory, and complex geometry. The main lectures will describe new breakthroughs due to Carayol and others and will build upon the recent work of Griffiths and his collaborators on Mumford-Tate groups and domains. The lectures will focus on two main examples and are intended to be accessible to a wide range of participants. The conference will also feature several other speakers, including a series of introductory talks aimed at graduate students. |
| Page web | http://faculty.tcu.edu/gfriedman/CBMS2012/ |
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| 5.Model Theory |
| Dates | 23 Jul 2012 → 03 Aou 2012 | [ID=446010] |
| Lieu | Mathematical Sciences Research Institute, Berkeley, États-Unis |
| Résumé | The workshop will consist of two minicourses, together with a selection of topical lectures. In the model theory course, o-minimality, and specifically the concrete example of the semi-algebraic sets of real numbers will provide the setting in which we introduce various fundamental results from model theory. The algebraic dynamics course will allow the introduction of concepts and proof techniques from number theory and algebraic geometryin the context of applications involving model theory. Toward the end of the workshop, the two minicourses will converge on the Pila-Wilkie theorem concerning points on analytic varieties, a result crucial in recent applications of o-minimality to diophantine geometry. |
| Page web | http://www.msri.org/web/msri/scientific/workshops/summer-graduate-workshops/show/-/event/Wm8971 |
| Sujets apparentés | Cours et évènements pour étudiants en mathématiques; Logique |
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| 6.GEAR Retreat — The first Retreat of the GEometric structures And Representation varieties (GEAR) Network |
| Dates | 06 Aou 2012 → 10 Aou 2012 | [ID=463780] |
| Lieu | Urbana-Champaign, Illinois, États-Unis |
| Résumé | The retreat is designed is to build bridges between mathematicians working in areas relating to GEometric structures And Representation varieties. Each day of the will feature one of the following themes: (1) Higgs Bundles (2) Geometric Structures and Teichmüller Spaces (3) Dynamics on Moduli Spaces (4) Special Representations and Geometric Structures (5) Hyperbolic 3-manifolds. |
| Sujets | Higgs Bundles, Teichmüller Spaces, Dynamics on Moduli Spaces, Representation Varieties, Hyperbolic 3-manifolds |
| Page web | http://gear.math.illinois.edu/programs/SeniorRetreat2012.html |
| Sujets apparentés | Géométrie et topologie |
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| 7.ICERM Semester Program: Computational Challenges in Probability |
| Dates | 05 Sep 2012 → 07 Dec 2012 | [ID=444383] |
| Lieu | Providence, RI, États-Unis |
| Résumé | Modern explorations in science, technology and medicine increasingly demand complex stochastic models. Computational and theoretical advances are needed in order to formulate, analyze, apply and interpret these models. Recent years have witnessed a remarkable interplay between computation and probability. On the one hand, probabilistic techniques have led to powerful computational methods such as Markov chain Monte Carlo algorithms, while on the other hand the calculation of probabilistic quantities such as modes and marginals of high-dimensional distributions and the analysis of data from random samples has posed several computational challenges.
The Fall 2012 Semester on "Computational Challenges in Probability" aims to bring together leading experts and young researchers who are advancing the use of probabilistic and computational methods to study complex models in a variety of fields. The goal is to identify common challenges, exchange existing tools, reveal new application areas and forge new collaborative efforts. The semester includes three intensive weeklong workshops - Bayesian Nonparametrics, Uncertainty Quantification, and Monte Carlo Methods in the Physical and Biological Sciences. In addition, synergistic activities will be planned throughout the duration of the semester. In particular, there will be several short courses and plenary invited talks by experts on related topics such as graphical models, randomized algorithms and stochastic networks, regular weekly seminars and relevant film screenings. |
| Page web | http://icerm.brown.edu/sp-f12 |
| Contact | Email.: nicole_henrichs@icerm.brown.edu |
| Sujets apparentés | Statistique |
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| 8.ICERM Workshop: Bayesian Nonparametrics |
| Dates | 17 Sep 2012 → 21 Sep 2012 | [ID=444382] |
| Lieu | Providence, RI, États-Unis |
| Résumé | Data-rich investigations need advanced tools for allowing data to inform and interact with models. Bayesian Nonparametrics is a rapidly growing subfield of statistics and machine learning that provides a framework for creating complex statistical models that are both expressive and tractable. Recent, successful applications of nonparametric Bayesian models across a variety of domains suggests that these models have the potential for wide use. The challenge of constructing and using models on very high dimensional or even infinite dimensional spaces creates many opportunities for fruitful interactions between mathematicians, statisticians and computer scientists. Areas of interest include prior construction, posterior inference, posterior asymptotics, algorithmic development, and practical applications. |
| Page web | http://icerm.brown.edu/sp-f12-w1 |
| Contact | Email.: nicole_henrichs@icerm.brown.edu |
| Sujets apparentés | Statistique |
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| 9.ICERM Workshop: Uncertainty Quantification |
| Dates | 08 Oct 2012 → 12 Oct 2012 | [ID=444370] |
| Lieu | Providence, RI, États-Unis |
| Résumé | Rapid growth in computational resources has heightened the expectation that scientific knowledge can indeed be a driver for societal well-being and betterment. At the same time, our ability to measure the natural and social world around has significantly increased, aided by technological development in sensors, the internet, and other modalities of communication. Science is thus faced, simultaneously, with a complex description of reality at an unprecedented resolution, and the possibility to describe this reality with mathematical models of increasing complexity. Probabilistic formulations of physical problems can be viewed as attempts to adapt rational procedures to this complexity, while tackling the conceptual challenges they inevitably present. As a testament to the significance of this confluence of mathematics, science, and technology, Uncertainty Quantification is arguably one of the fastest growing sub-disciplines in mechanics.
The communities of computational science, stochastic analysis, and statistics have evolved largely along distinct paths. To forge ahead, however, in the direction of transformative scientific impact, requires symbiotic exchange and collaboration. It is the intent of this Workshop on Uncertainty Quantification to bring together leading researchers in these three fields in order to delineate new horizons and forge new synergies that will accelerate the evolution of UQ capabilities to become an enabler of scientific and economic progress. |
| Page web | http://icerm.brown.edu/sp-f12-w2 |
| Contact | Email.: nicole_henrichs@icerm.brown.edu |
| Sujets apparentés | Statistique |
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| 10.ICERM Workshop: Monte Carlo Methods in the Physical and Biological Sciences |
| Dates | 29 Oct 2012 → 02 Nov 2012 | [ID=444435] |
| Lieu | Providence, RI, États-Unis |
| Résumé | Monte Carlo methods are one of the main tools used to study the properties of complex physical, chemical and biological systems. Since their introduction in the late 1940s, these methods have undergone a remarkable expansion and are now used in many other fields, including statistical inference, engineering, and computer science. However, the design and theoretical understanding of Monte Carlo methods is still a challenging topic, especially for those problems where rare events play the key role in determining algorithm performance. The aim of the workshop is to bring together specialists in the application areas who understand the specific challenges posed by realistic problems and have developed sophisticated tools to tackle these problems, and mathematicians developing methods for algorithm analysis, abstraction, and optimization. |
| Page web | http://icerm.brown.edu/sp-f12-w3 |
| Contact | Email.: nicole_henrichs@icerm.brown.edu |
| Sujets apparentés | Statistique |
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| 11.ICERM Semester Program: Automorphic Forms, Combinatorial Representation Theory and Multiple Dirichlet Series |
| Dates | 28 Jan 2013 → 03 Mai 2013 | [ID=444412] |
| Lieu | Providence, RI, États-Unis |
| Résumé | L-functions 'vast generalizations of the Riemann zeta function' are fundamental objects of study in number theory. In the 1980's the idea emerged that it could be useful to tie together a family of related L-functions in one variable to create a "double Dirichlet series," which could be used to study the average behavior of the original family of L-functions. Double Dirichlet series soon became multiple Dirichlet series. It has gradually emerged that the local structure of these multiple Dirichlet series shows a rich connection to combinatorial representation theory. This program will explore this interface between automorphic forms and combinatorial representation theory, and will develop computational tools for facilitating investigations. On the automorphic side, Whittaker functions on p-adic groups and their covers are the fundamental objects. Whittaker functions and their relatives are expressible in terms of combinatorial structures on the associated L-group, its flag variety, or Schubert varieties. In the combinatorial theory crystal graphs, Demazure characters, the Schubert calculus and Kazhdan-Lusztig theory all enter.
Recent progress in combinatorial representation theory has been facilitated by the development of computer programs by the Sage-Combinat group within the open-source mathematical software Sage. These tools have evolved in response to the research needs of the developers, but through a disciplined development process are general enough to have already found applications beyond their original intent. A major component of the program will be the further development and application of these resources, and it is hoped that they may be used to investigate the connection to multiple Dirichlet series and related combinatorics. |
| Page web | http://icerm.brown.edu/sp-s13 |
| Contact | Email.: nicole_henrichs@icerm.brown.edu |
| Sujets apparentés | Théorie des graphes et combinatoire |
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