Conférences - Géométrie et topologie - Mexique

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1
Workshop — Using Quantum Invariants to do Interesting Topology
26 avr 2020 - 01 mai 2020 • Oaxaca, Mexique
Organisateur:
BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)
Résumé:
This workshop centres on new advances in topology resulting from quantum invariants, a novel collection of algebraic objects that in currently experiencing a period of intense development. These invariants have their origins in knot theory, that is, the study of knotted loops in three-dimensional space. Beginning with Jones' discovery of a new invariant of knots in the 80s, quantum invariants have grown into a wide-reaching algebraic discipline with ramifications that extend beyond the study of knots and links. Indeed, the most recent developments - pioneered by Khovanov - move these polynomial invariants to homological invariants which have, in recent years, provided new insight in 4-dimensional topology. The workshop will bring together a broad range of experts from around the world working in quantum-homological invariants of knots and links with the aim of tackling new problems in topology with these tools.
Identifiant de l'évènement:
1330107
2
Workshop — Topological Complexity and Motion Planning
24 mai 2020 - 29 mai 2020 • Oaxaca, Mexique
Organisateur:
BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)
Résumé:
Teaching a robot to move about on an empty football field is easy. There is exactly one line joining the robot's starting and finishing points, and the robot can be instructed to move from start to finish along this line. This instruction scheme is robust in the sense that nearby starting and finishing points give rise to similar instructions. If the robot is attached to a circular track, teaching it to move is harder. The instructions ``move along the shortest arc'' lead to confusion if the starting and finishing points are precisely opposite one another, as the robot doesn't know whether to move in the clockwise or counterclockwise direction. Choosing one of these two, say, the instructions ``move clockwise'', yields confusion when the starting and finishing points are the same. From these instructions, the robot does not know if it should simply stay at the start/finish point, or move in a less efficient manner, looping around the circle once or twice or\ldots
Identifiant de l'évènement:
1330092
3
Advances in Mixed Characteristic Commutative Algebra and Geometric Connections
07 jui 2020 - 12 jui 2020 • Oaxaca, Mexique
Organisateur:
Banff International Research Station for Mathematical Innovation and Discovery
Résumé:
One of the big ideas in modern mathematics is that integers (like 1, 2, 3, 4, 5, ...) in many formal ways behave similarly to polynomial equations (like y = x^2, which defines the parabola). Frequently, and perhaps surprisingly, many questions in mathematics are easier to study for polynomials than for integers. Hence intuition and results for polynomials can tell us about the integers. Commutative algebra lives at the intersection of both perspectives, and one fundamental object of study is polynomials with integer coefficients, this is called the mixed characteristic case. Recently, Yves Andre proved a long standing open conjecture in commutative algebra in this mixed characteristic setting, relying on constructions of Scholze (and then Bhatt gave a simplified proof of the same conjecture). This workshop aims to foster and discuss these and other recent tools, to study some remaining open problems in mixed characteristic. The workshop will bring together a diverse group of researchers from different fields, such as commutative algebra, algebraic geometry, and number theory.
Identifiant de l'évènement:
1245679
Sujets apparentés:
4
8th Iberoamerican Congress on Geometry
22 jui 2020 - 26 jui 2020 • Morelia, Mexique
Résumé:
Since the time of Bernhard Riemann, the influence of analytical and algebraic methods based on Riemann surfaces, algebraic curves and abelian varieties, has been crucial in the development of other areas in physics and mathematics, as well as applications to other areas. These topics have been a very effective tool in solving problems in commutative algebra, mathematical-physics, algebraic geometry, differential geometry, complex and hyperbolic geometry, dynamical systems, singularity theory, topology and other interdisciplinary branches of mathematics that are constantly evolving. The Iberoamerican Geometry Congresses (IGC) have the particularity of gathering researchers and students from various mathematical communities of America and other regions of the world, with the aim of fostering an exchange of ideas between mathematicians in different fields, linked by the geometry of Riemann surfaces, abelian varieties and related fields.
Identifiant de l'évènement:
1304402
Sujets apparentés:
5
Workshop — Moduli, Motives and Bundles – New Trends in Algebraic Geometry
28 jui 2020 - 03 jul 2020 • Oaxaca, Mexique
Organisateur:
BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)
Résumé:
Organised in partnership with the Clay Mathematics Institute.
Identifiant de l'évènement:
1330121
Sujets apparentés:
6
Workshop — Locality and Functoriality in Symplectic Geometry
18 oct 2020 - 23 oct 2020 • Oaxaca, Mexique
Organisateur:
BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)
Résumé:
Symplectic geometry concerns symplectic manifolds. A key modern tool is an algebraic structure called the 'Fukaya category', which is associated to a single such object. Geometric relations between the manifolds are reflected in algebraic interactions between the categories. There has been a great deal of recent progress in understanding such relations. This workshop will bring together many of the key workers in this rapidly developing field to share ideas and set further directions of exploration.
Identifiant de l'évènement:
1330297
7
Workshop — Integral and Metric Geometry
01 nov 2020 - 06 nov 2020 • Oaxaca, Mexique
Organisateur:
BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)
Résumé:
Valuation theory grew out of integral geometry, and studies such geometric quantities as volume, surface area, and their generalizations. Spaces with curvature bounds are geometric objects which are not necessarily smooth, but that retain nevertheless some of the features of smooth spaces. For example convexity/concavity properties of the distance function can be seen as a non-smooth generalization of the smooth notion of curvature of constant sign.
Identifiant de l'évènement:
1330262


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Dernière mise à jour: 13 Février 2020