Courses and Events for Math Students and Early Career Researchers in Mexico

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1
Quantization in Derived Algebraic Geometry and Representation Theory
02 May 2021 - 07 May 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
An essential paradigm in science is solving a problem through the study of its symmetries. Whether dealing with a chemical, physical, or mathematical system, its symmetries are intimately related to the conservation laws characterizing the system itself. Therefore, their study leads us to its full understanding. Quantum groups are deformations of the most elementary symmetries in Nature, describing, for example, infinitesimal layers of ice. They first appeared in the eighties as symmetries of one and two-dimensional statistical mechanical models and are nowadays ubiquitous objects in mathematics. Quantum groups represent only an instance of the more general Theory of Quantization, in which the procedure of "deforming" classical structures gives rise to their "quantum" analog. This theory proved soon to have spectacular connections with many and only apparently unrelated areas of mathematics and physics, especially in representation theory (as described above), algebraic geometry (in particular the theory of moduli spaces), and theoretical physics (e.g. gauge theory). The present workshop aims to provide a survey of the state of the art of the Quantization Theory, with a special emphasis on using advanced techniques from (derived) algebraic geometry to the realm of Quantization.
Event listing ID:
1364581
Related subject(s):
2
Contextual Integrity for Differential Privacy
09 May 2021 - 14 May 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Privacy concerns are becoming a major obstacle to using data, and it is often unclear how current regulations should translate into technology. Over the last decade, differential privacy has emerged as the de facto algorithmic gold-standard in privacy-preserving data analysis, enabling analysis of sensitive data with rigorous privacy guarantees. It is a parameterized privacy notion, and tuning this privacy parameter allows an analyst to smoothly tradeoff between privacy to the individual with accuracy of the analysis. Much of the theoretical work on differential privacy has purposely left this parameter as a free variable that should be chosen based upon the context of data use. Contextual integrity is a framework for formalizing context of data use, and offers a descriptive categorization of information flows as either appropriate or inappropriate based upon the context and cultural norms. This workshop will combine tools from differential privacy and contextual integrity to develop context-based prescriptions for the use and implementation of differential privacy. It will bring together a multi-disciplinary team of privacy researchers from computer science, information science, statistics, business, law, and public policy to address this multifaceted challenge.
Event listing ID:
1364679
3
Analysis on Singular Spaces
16 May 2021 - 21 May 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
The presence of singularity in mathematics and physics is an omnipresent phenomena which is the subject of an enormous amount of current research. One reason for this is that techniques which are useful and well understood in the context of smooth spaces do not carry over automatically to singular spaces in general. Depending on the type of singularity involved, one might find that a theorem which is true in the smooth setting requires modification even to make sense in a particular singular setting, and a singular object with extra structure may lead to a generalization of a theorem in which that extra structure plays a role.
Event listing ID:
1364656
Related subject(s):
4
Chromatic Homotopy and Algebraic K-Theory
23 May 2021 - 28 May 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
This workshop focuses on the interaction between algebraic K-theory and chromatic homotopy theory. Algebraic K theory translates fundamental arithmetic and geometric information about a ring or scheme into homotopy theory. The chromatic perspective is a fundamental organizing principle of homotopy theory, decomposing a space or spectrum into certain `prime localizations'. Recent major advances use these localizations to prove descent results for algebraic K theory, or give vanishing results for K-theory in certain cases. This conference gathers mathematicians working in algebraic K-theory and in chromatic homotopy theory to explore these recent advances, work on open problems, and set the syllabus for future work in the field.
Event listing ID:
1364600
Related subject(s):
5
Frontiers in Billiard Dynamics
30 May 2021 - 04 Jun 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Mathematical billiards are a fast growing field of the modern theory of dynamical systems and a deep source of insights, methods and examples in dynamics. It has greatly impacted many areas, ranging from integrable Hamiltonian systems and KAM theory, hyperbolic (chaotic) systems, to Teichm\"uller dynamics. It has also stimulated much recent applied research in such areas of mathematical physics as equilibrium and non-equilibrium statistical mechanics and quantum theory. The proposed workshop will bring together leading mathematicians, mathematical physicists, and younger researchers whose work is connected to the theory and applications of billiard dynamics from a variety of perspectives. Topics will include new modalities of billiard systems, with special attention given to applications to statistical physics such as, for example, the study of classical and quantum transport phenomena.
Event listing ID:
1364665
6
XX International Workshop on Numerical Methods for Non-Newtonian Flows
06 Jun 2021 - 11 Jun 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Fluids that exhibit physical behaviours which are not Newtonian are extremely common in nature and in industrial contexts. These occur in many processes underlying natural resource industries (mining, oil and gas). These are key in manufacturing industries such as polymer processing and in new environmentally-driven manufacturing products such as printing/layering in battery manufacture, coating flows, drug and droplet encapsulation and many bio-fluid applications (e.g. blood, mucus, semen, synovial fluids). This workshop brings together mathematically oriented scientists and engineers to work on these societally important issues.
Event listing ID:
1364686
7
Knots, Surfaces and 3-manifolds
20 Jun 2021 - 25 Jun 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
A mathematical knot can be thought of as a piece of knotted string with ends attached. This knotted circle is allowed to move freely in space as long as it does not pass through itself. In recent years the study of knots has gained momentum through a series of applications, for instance in physics and in molecular biology. Such applications bring new urgency to certain classical questions pertaining to knots and how they sit inside 3-dimensional space. Much like a knotted wand dipped into liquid soap will bound a bubble, mathematical knots sitting in 3-dimensional space bound surfaces. Studying pairs of the form (knot, surface) sitting in 3-dimensional space rather than just knots, provides additional structure to better grasp basic questions, such as whether or not a given knot can be untangled and if so how.
Event listing ID:
1364739
Related subject(s):
8
Thermodynamic Formalism for Geodesic Flows
27 Jun 2021 - 02 Jul 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
This workshop will study this question for systems of geometric origin. One example of this is a particle bouncing inside a region -- think of a ball bouncing around a billiard table, or a light beam bouncing around a room whose walls are mirrors. If the walls are flat then the behavior is fairly predictable, but if they are curved then one often observes random-looking behavior in the long run. Or imagine walking in a straight line along a surface; if the surface is flat then changing the starting point a little will lead to a predictable change in the trajectory. However, if the surface is curved like a saddle then different trajectories will spread out and your location after walking for a long time will eventually seem to be random. The task of giving precise descriptions of systems such as these requires a more complete development of the theory of thermodynamic formalism for systems of geometric origin, which is precisely the goal of this workshop.
Event listing ID:
1364749
9
Multivariable Operator Theory and Function Spaces in several Variables
01 Aug 2021 - 06 Aug 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
The purpose of this workshop is to bring together specialists in operator theory and complex analysis in several variables, with the aim of surveying recent developments and fostering new interactions between researchers in these subjects. Specific topics featured in this workshop include non-commutative function theory and its applications, the analysis of invariant subspaces and multiplier spaces for spaces of analytic functions of several variables, dilation theory for operator tuples, and extension problems for analytic functions in higher dimensions.
Event listing ID:
1364682
Related subject(s):
10
Trends in the Classification of Algebraic Varieties and their Sheaves
08 Aug 2021 - 13 Aug 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
This workshop will focus on the results around the classification of algebraic varieties and their sheaves and how they are applied to resolve long standing questions in algebraic geometry.
Event listing ID:
1364670
Related subject(s):
11
Iwasawa Theory for GL(2) and Applications: Open Problems and New Directions
15 Aug 2021 - 20 Aug 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
One remarkable development in algebraic number theory over the last two decades is the proof of many cases of the main conjecture of Iwasawa theory for elliptic curves over the rational, leading to spectacular advances on the Birch and Swinnerton-Dyer conjecture. Over the past few years, the methods used to prove these results have been refined to remove some of their hypotheses and extended to other settings, but despite these improvements some important cases remain largely open. This workshop aims to foster new developments in these directions by clarifying the state of the art of the aforementioned results, identifying some of the technical limitations of the current methods, and encouraging the exchange of ideas between participants with different areas of expertise, while also bringing new researchers (recent PhDs and post-docs) in the area up to speed on current methods and results.
Event listing ID:
1364702
Related subject(s):
12
Bound-Preserving Space and Time Discretizations for Convection-Dominated Problems
22 Aug 2021 - 27 Aug 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
The development of high-performance simulation tools for real-life problems involving fluid flows and related transport phenomena frequently requires the use of numerical methods that are high-order accurate in space and time and preserve important physical properties of certain quantities of interest (such as nonnegativity of the water height in shallow water equation models). In recent years, the state of the art in the development of such schemes was significantly advanced by a breakthrough in theoretical analysis which has provided illuminating insights into the properties of existing methods and new design criteria for the development of improved solution strategies. However, many theoretical aspects of physics-aware discretization techniques still require further exploration or have not been put into practice so far. The purpose of this workshop is to bridge the gap between the mathematical theory and engineering practice.
Event listing ID:
1364701
13
Algebraic Techniques in Theoretical Computer Science
29 Aug 2021 - 03 Sep 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Algebraic techniques have become influential in many areas in theoretical computer science, such as: coding theory, hardness of approximation, communication complexity, learning theory, cryptography, sublinear algorithms, coding theory, communication complexity, social choice theory, and more. The workshop will bring together researchers in these areas, allowing them to learn from each other and facilitate new collaborations.
Event listing ID:
1364777
14
New Trends in Nonlinear Diffusion: a Bridge between PDEs, Analysis and Geometry
05 Sep 2021 - 10 Sep 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
In this workshop our aim is to bring together well-established and early-career researchers from the areas of Analysis of PDEs, Optimal Transport Theory and Geometric Flows to report on their latest contributions and establish new collaborations. The fields of expertise of the participants are broad and will offer a great opportunity for cross-fertilization among diverse communities.
Event listing ID:
1364743
15
Integration of Model- and Data-Driven Methods for Medical Imaging
12 Sep 2021 - 17 Sep 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Recent remarkable advances in learning-based methods are revolutionizing the field of image analysis resulting in a paradigm shift towards data-driven approaches. These methods have already shown tremendous success in a wide range of applications from computer vision such as object detection and object category classifications. To perform efficiently though, such methods typically require a large number of training sample and this requirement is highly impractical or impossible in applications from medical imaging where it is very laborious and expensive to generate labeled data. Another drawback of learning-based method is that they do not come with provable performance guarantees. One remedy to such limitations is to combine data-driven methods with prior knowledge through mathematical and/or physical models in such a way to optimize processing, reconstruction and analysis of medical imaging data without the need of extensive training. This workshop will bring together researchers with a different background ranging from optimization, inverse problem, numerical and harmonic analysis and machine learning to advance state-of-the-art methods combining data- and model-driven approaches for medical imaging.
Event listing ID:
1364764
16
Computations and Data in Algebraic Statistics
19 Sep 2021 - 24 Sep 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
This workshop brings together both theoreticians and practitioners from broadly different fields to advance algebraic statistical methodology to data science. While linear algebra underlies classical statistics, in algebraic statistics, the aim is to explore the applicability of nonlinear algebra---which extends algebraic theory beyond linear algebra---to statistical theory. In particular, our goal is to advance the computational feasibility of algebraic statistics. Our focus is specifically on direct applicability of algebraic statistical theory to real datasets. Additionally, this workshop explores other statistical settings that are also algebraic in nature and that find practical applications in various different fields, where nonlinear algebra may also be applied.
Event listing ID:
1364785
17
Modeling and Computational Approaches to Individual and Collective Cell Movement in Complex Environments
26 Sep 2021 - 01 Oct 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Locomotion of cells, both individually and collectively, plays an important role in development, the immune response, wound healing, and cancer metastasis. Movement requires force transmission to the environment, and motile cells are robustly-designed nanomachines that often can cope with a variety of environmental conditions by altering the mode of force transmission – which ranges from crawling to swimming. The shape and integrity of a cell is determined by its cytoskeleton, and thus the shape changes that may be required to move involve controlled remodeling of the cytoskeleton. Motion in vivo is often in response to extracellular signals, which requires the ability to detect such signals and transduce them into the shape changes and force generation needed for movement. Thus the nanomachine is complex, and while much is known about individual components involved in movement, an integrated understanding of single cell motility, even in simple cells such as bacteria, is not at hand. At the next level, collective movement requires coordination of these nanomachines, which introduces another level of complexity. This complexity has stimulated mathematical modelling and computational simulations of cell and tissue movement at various levels, which has advanced our understanding of movement on multiple time and space scales.
Event listing ID:
1364751
18
Motives and Invariants: Theory and Applications to Algebraic Groups and their Torsors
03 Oct 2021 - 08 Oct 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
In this workshop, we want to bring together researchers from both sides of this development: those mathematicians specializing in the application of modern algebraic and algebro-geometric methods to the study of algebraic groups and their torsors, as well as those working on relevant aspects of the motivic and cohomological approaches from a more abstract viewpoint. We hope that bringing this mix of researchers together will have a synergistic impact, leading to concrete new applications of the abstract machinery to outstanding problems on quadratic forms, algebras with involution and algebraic groups, but also inspiring progress on the general development of the motivic and cohomological methods.
Event listing ID:
1364783
Related subject(s):
19
Real Polynomials: Counting and Stability
17 Oct 2021 - 22 Oct 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Understanding the real solutions of polynomials or systems of polynomial equations is at the heart of many problems both in the realm of pure mathematics and in the mathematical modeling of networks in systems biology, in computer aided geometric design, or in the control of mechanisms. While there exist a lot of celebrated results (for example, bounds exploiting the signs of the coefficients of a univariate polynomial or bounds taking into account the number of terms), even some basic questions are still unsolved. There has been a recent explosion of activity in this area, where different tools have started to be connected in new and unexpected ways, such as tools from the theory of matroids, from fewnomial theory, or from convex algebraic geometry. This workshop will bring together experts from close but different areas in real algebraic geometry to collaborate and will lead to further progress (both theoretical and practical) on a number of problems on the real solutions of polynomials. Specific consideration is given on the problem of counting and bounding the number of real roots as well as on questions of stability.
Event listing ID:
1364760
Related subject(s):
20
Geometry & Learning from Data
24 Oct 2021 - 29 Oct 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
The incredible advances in artificial intelligence applied to images need to be combined with geometric tools to be applied in higher dimensional data and for applications to 3D objects, such as those in Augmented Reality, Virtual Reality environments, data from sensors of self-driving cars, computational anatomy, and other domains of technological applications. In this workshop we will bring together experts from academia, government stakeholders, applied researchers from industry, as well as graduate students and early career scientist to interact and develop novel solutions that apply abstract tools from high dimensional geometry to contribute to the solution of these problems.
Event listing ID:
1364836
21
Rules of Protein-DNA Recognition: Computational and Experimental Advances
31 Oct 2021 - 05 Nov 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
The information that determines our genetic make-up – from our eye color to our propensity to get cancer or genetic diseases – is encoded in the DNA sequence of our genomes. This DNA information is interpreted by proteins called transcription factors that ‘read’ the four-letter code in our DNA, promoting the activation or repression of genetic programs. Unfortunately, we have been unable to decipher the non-protein-coding portion of our genomes, which comprises >95% of our DNA, even though we now have access to thousands of fully sequenced human genomes and the numbers are increasing daily. A fundamental problem of modern biology will be how to discern DNA differences between people that affect our physical differences and the manifestation of disease. As a result, a major challenge facing computational and structural biologists is to crack the DNA code that will allow us to understand the impact of DNA differences on protein-DNA interactions and gene expression. The solution to this challenge will likely come from the convergence of theoretical, computational, biophysical, and structural approaches. The BIRS format is ideal for bringing together this combination of scientists in an informal and collaborative setting to further advance this goal.
Event listing ID:
1364813
Related subject(s):
22
Strings: Geometry and Symmetries for Phenomenology
07 Nov 2021 - 12 Nov 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
In this workshop, experts in the physics and mathematics of string theory shall gather together to discuss the current progress on the study of the physical consequences (for particle physics and cosmology) of string models, and to explore new exciting formal (and informal) proposals that may constitute important tools to gain a better understanding of string theory and its possible predictions. Besides traditional overview talks and seminars on the ongoing research in this field, the workshop will provide an adequate environment for fruitful discussion and collaboration.
Event listing ID:
1364845
23
Detection and Analysis of Gravitational Waves in the era of Multi-Messenger Astronomy: From Mathematical Modelling to Machine Learning
14 Nov 2021 - 19 Nov 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Gravitational-waves are a new way to explore the sky and uncover the Universe’s deepest mysteries. Although the first detection of these "ripples of space-time" is only a few years old, scientists can now harness the potential of gravitational waves in testing Einstein’s General Relativity theory under extreme conditions, helping to understand the origin of matter, and measuring the evolution of the Universe. Researchers from all around the world are gathering in Oaxaca to discuss recent progress in, and the future of gravitational-wave science. The workshop "Detection and analysis of gravitational waves in the era of multi-messenger astronomy: From mathematical modelling to machine learning", provides a forum, unique in its genre, for discussing new mathematical methods in modelling, detecting, and analyzing gravitational waves, as well as their integration with machine learning, or artificial intelligence.
Event listing ID:
1364822
24
Foundations of Objective Bayesian Methodology
28 Nov 2021 - 03 Dec 2021 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
The aim of this workshop is to bring together researchers working on objective Bayesian methodology, nonparametric Bayesian methods and machine learning. Objective Bayesian methods are evolving from a historically narrower focus on issues related to prior specification to research themes that are more broadly related to default methods in Bayesian statistical analysis. This naturally leads to an increasing overlap with Bayesian nonparametric modeling and machine learning. The workshop seeks to exploit this increasing intersection by bringing together participants from all three research communities.
Event listing ID:
1364909


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Last updated: 08 July 2020