Meetings/Workshops on Algebra in Mexico

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1
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:
1364677
2
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:
1364673
3
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:
1364704
4
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:
1364681
5
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:
1364829
6
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:
1364761


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Last updated: 08 July 2020