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CMO/Banff Workshop — Interactions between Algebraic Topology and Geometric Group Theory
28 May 2023 - 02 Jun 2023 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO)
Abstract:
The mathematical notion of a group encapsulates our common idea of symmetry. Groups play an important role in mathematics, and their structure has profound impact in the solution of a variety of problems in pure and applied mathematics. Groups are often studied from different perspectives, putting an emphasis on qualitatively different features of their structure, and therefore leading to the resolution of problems that tend to be different in nature. The aim of this workshop is to bring together some of the leading figures in two of these areas, so that each can learn new problems and techniques from the other. This will help open new avenues of research which will advance the current state of the art.
Event listing ID:
1503630
Related subject(s):
2
CMO/Banff Workshop — Knots, Surfaces, and 3-Manifolds
11 Jun 2023 - 16 Jun 2023 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO)
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.
Event listing ID:
1503683
Related subject(s):
3
CMO/Banff Workshop — Equivariant Bordism Theory and Applications
18 Jun 2023 - 23 Jun 2023 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO)
Abstract:
In addition to further developing equivariant bordism theory directly, the workshop participants will apply this theory to understand symmetries of high-dimensional objects in terms of lower-dimensional objects with similar symmetries, and, conversely, to understand when it is possible for an object with symmetry to be used to build a higher dimensional object with the same symmetry. The participants will also apply equivariant bordism theory to certain problems arising in quantum physics. Algebraic aspects of symmetry have been exploited to great effect in recent years in order to understand certain quantum mechanical systems called ``topological quantum field theories," and the workshop will push these applications further by coupling them to the geometric techniques enabled by equivariant bordism theory. The workshop activities have been carefully organized with the goal of nurturing new cosmopolitan research collaborations that unite experts and students from diverse backgrounds---both mathematical and personal.
Event listing ID:
1503759
Related subject(s):
4
CMO/Banff Workshop — Interplay between Geometric Analysis and Discrete Geometry
25 Jun 2023 - 30 Jun 2023 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO)
Abstract:
Convexity is a branch of classical mathematics and it is located at the confluence of geometry, analysis, topology and combinatorics. Although its origins can be traced back to Archimedes and its systematic study started at the end of the nineteenth century, it was not until the mid-twentieth century that convexity became a well established branch of mathematics. Nowadays, it is an important area that is attracting young researchers and students. Why? Because of its intrinsic beauty, it’s fascinating and intriguing open questions that have an instant intuitive appeal, but also, because of its many relations with other areas of mathematics and its multiple applications, such as in economics, engineering and data science. The purpose of this workshop is to bring together key people working in this area, in order to explore recent progress and to help focus on future research directions.
Event listing ID:
1503736
Related subject(s):
5
CMO/Banff Workshop — Set-Theoretic Topology
30 Jul 2023 - 04 Aug 2023 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO)
Abstract:
The workshop is designed to explore the interactions that exists between set theory, topology, and algebra. The focus of the workshop will be on the study of topological problems of set-theoretic flavor arising in topological algebra and algebraic topology, as well as the study of topological games and homogeneity.
Event listing ID:
1503757
6
CMO/Banff Workshop — Multiparameter Persistence: Theory and Applications
13 Aug 2023 - 18 Aug 2023 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO)
Abstract:
This workshop will concentrate on the development on new topological tools to capture the structure of data that depends on many parameters simultaneously. The meeting will provide an welcome opportunity to bring together many parts of mathematics to support topology in this work, and to discuss a new range of potential exciting applications.
Event listing ID:
1503700
7
CMO/Banff Workshop — Silting in Representation Theory, Singularities, and Noncommutative Geometry
10 Sep 2023 - 15 Sep 2023 • Oaxaca, Mexico
Organizer:
Casa Matemática Oaxaca (CMO)
Abstract:
The proposed Workshop aims to study bridges between representations of algebras on one side and algebraic geometry and singularity theory on the other. One such bridge is provided by a process called `silting', allowing for example the transfer of combinatorial or homological structure in either direction. It is expected that the joint efforts of a group of internationally leading experts from many different areas of mathematics is yielding new insight in the difficult nature of these objects of study.
Event listing ID:
1503829
Related subject(s):


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Last updated: 22 August 2022