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1
Workshop — Lie Groups, Singular Spaces, and Higher Structures
09. Jan 2023 - 13. Jan 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
The purpose of this conference is to create a discussion between experts that work on a number of such approaches to singular spaces as well as on the broader themes that lead to these structures: Hamiltonian group actions, completely integrable systems, and geometric quantization.
Eintrags-ID:
1494479
Verwandte Fachgebiete:
2
Measured group theory
06. Mär 2023 - 17. Mär 2023 • Montréal, Kanada
Veranstalter:
CRM / Université de Montréal
Zusammenfassung:
Measured group theory looks at groups from a probabilistic perspective, by studying their actions on probability spaces up to orbit equivalence. It turns out that the orbit equivalence relations of these actions can remember information about the group, which has yielded classification and rigidity results, as well as new invariants such as cost, |^2-Betti numbers, and ergodic dimension. Initiated by Gromov and Zimmer, the subject has become a very fruitful area of research over the last 25 years. One reason for this is that to study the orbit equivalence relation of an action, one tries to measurably equip the orbits with various combinatorial and geometric structures (graphs, trees, CW-complexes) and investigate their characteristics (colorings, matchings, ends, |^2-Betti numbers), which often requires machinery from the corresponding subjects, and also contributes back to these subjects with new results. This two-way traffic has established new connections between Measured Group Theory and various different areas, including ergodic theory, descriptive set theory, probability theory, combinatorics, geometric group theory, Lie groups, and von Neumann algebras.
Eintrags-ID:
1482396
Verwandte Fachgebiete:
3
Workshop on Borel and Measurable Combinatorics in Algebra and Dynamics
20. Mär 2023 - 24. Mär 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
This workshop will bring together those working in pure Borel combinatorics with those studying the ergodic theory, dynamics, and geometry of countable groups. Featured topics will include Gaboriau's theory of cost, Borel and measurable chromatic numbers, Borel matchings, and amenable and hyperfinite equivalence relations.
Eintrags-ID:
1461195
Verwandte Fachgebiete:
4
Workshop — Lefschetz Properties in Algebra, Geometry, Topology and Combinatorics
15. Mai 2023 - 19. Mai 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds, begun by S. Lefschetz, and well established by the late 1950's. Many of the important Artinian graded algebras appear as cohomology rings of an algebraic variety or manifold, though recent important developments have demonstrated important cases of the Lefschetz properties beyond such geometric settings (such as Coxeter groups or matroids). This renews interest in understanding the Lefschetz property, and Artinian algebras that admit them, systematically.
Eintrags-ID:
1494400
5
BIRS Workshop — Spinorial and octonionic aspects of G2 and Spin(7) geometry
28. Mai 2023 - 02. Jun 2023 • Banff, Alberta, Kanada
Veranstalter:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Zusammenfassung:
There exists a mysterious algebraic structure in 8-dimensional space that does not behave in the same way as the ordinary arithmetic that we all learn as children. Somewhat surprisingly, this strange algebra, called the octonions, shows up naturally in the study of certain higher dimensional geometric spaces, called manifolds, that are of importance in physics and in the study of the equations introduced by Einstein in general relativity. Geometers have been studying such spaces for a number of years, mostly using tools from calculus and differential equations. The proposed workshops intends to introduce these researchers to experts in the special octonion algebra, as well as in related special algebraic structures called spinors, to facilitate a cross-pollination of ideas, methods, and techniques. Some of these groups have never before been brought together in this way.
Eintrags-ID:
1499055
Verwandte Fachgebiete:
6
ARTA VIII — Advances in Representation Theory of Algebras VIII
12. Jun 2023 - 16. Jun 2023 • Queen's University, Kingston, Ontario, Kanada
Veranstalter:
Queen's University, Kingston, Ontario
Themen:
Structure of finite dimensional algebras Structure of module categories Auslander--Reiten components Homological methods in representation theory Homological conjectures Algebras of finite global dimension Self-injective algebras Tame algebras Combinatorial aspects of representation theory Geometry of algebras and modules Homological invariants of algebras and modules Triangulated categories and tilting theory Relations of the above topics with Lie theory, Singularity theory, Cohen--Macaulay modules, quantum groups and other algebraic structures.
Eintrags-ID:
1461182
7
Summer School — Inclusive Paths in Explicit Number Theory
02. Jul 2023 - 15. Jul 2023 • Kelowna, B.C., Kanada
Veranstalter:
Banff International Research Station (BIRS) / UBCO
Zusammenfassung:
How primes and L-functions are linked is at the core of analytic number theory, with the Gener- alized Riemann Hypothesis (GRH) being its star conjecture. The field of explicit number theory focuses on simple yet notoriously difficult questions such as the Goldbach conjecture (Can every even number be written as the sum of two primes?) and Legendre’s conjecture (Is there a prime number between every two consecutive squares?). It is likely one of the most exacting flavors of number theory: in addition to scientific creativity, it requires precision and endurance to produce meaningful results. Working in teams with complementary expertise would allow to tackle some problems in the field more efficiently.
Eintrags-ID:
1523451
Verwandte Fachgebiete:
8
BIRS Workshop — New Directions in Applied Linear Algebra
27. Aug 2023 - 01. Sep 2023 • Banff, Alberta, Kanada
Veranstalter:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Zusammenfassung:
This workshop focuses on addressing general theoretical problems that underpin cutting-edge applications of linear algebra, including low-rank approximation and tensor decomposition, optimization, machine learning, nonlocal network dynamics, and uncertainty quantification. By bringing together experts from these different communities at a BIRS workshop, new insights in applied linear algebra will be brought to these challenging problems, which we expect to generate significant advances to state-of-the-art computational algorithms in the next decade.
Eintrags-ID:
1499183
9
Workshop — Operator Algebras and Applications: Connections with Logic
28. Aug 2023 - 01. Sep 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
Scheduled as part of Thematic Program on Operator Algebras and Applications
Eintrags-ID:
1494464
10
Workshop — Operator Algebras and Applications: Symmetry and Structure
18. Sep 2023 - 22. Sep 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
Scheduled as part of Thematic Program on Operator Algebras and Applications
Eintrags-ID:
1494463
11
Workshop — Operator Algebras and Applications: Groups and Group Actions
02. Okt 2023 - 06. Okt 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
Scheduled as part of Thematic Program on Operator Algebras and Applications
Eintrags-ID:
1494539
Verwandte Fachgebiete:
12
BIRS Workshop — Complex Lagrangians, Mirror Symmetry, and Quantization
15. Okt 2023 - 20. Okt 2023 • Banff, Alberta, Kanada
Veranstalter:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Zusammenfassung:
The workshop is conceived in response to recent breakthroughs in physics and mathematics. One is the real quantization of Hitchin moduli spaces due to Gaiotto and Witten, and the other is a deformation quantization theory of Kontsevich and Soibelman that has achieved a vast mathematical foundation and generalization of topological recursion of Eynard and Orantin in random matrix theory. The vision of the organizers is that these two theories should be related through mirror symmetry. The workshop is organized to test this vision, and to explore its mathematical consequences.
Eintrags-ID:
1499231
Verwandte Fachgebiete:
13
Twinned Conference — C*-Algebras and Tensor Categories
06. Nov 2023 - 10. Nov 2023 • ICMS, Bayes Centre, Edinburgh and The Fields Institute, Canada, Kanada
Veranstalter:
ICMS - International Centre for Mathematical Sciences
Zusammenfassung:
This event will be a twinned transatlantic conference on “C*-algebras and tensor categories”, promoting new connections between C*-algebra theory and tensor categories/subfactors - an interface with tremendous, yet barely explored, potential. The two locations of the conference will be the Fields Institute in Canada and ICMS in Edinburgh.

Many major breakthroughs in the classification of C*-algebras of finite topological dimension have been underpinned by the large-scale transfer of von Neumann techniques on multiple levels. The overarching objective of this conference is to bring together researchers at the interface of the rapidly developing areas of the structure and classification of C*-algebras and subfactor theory/tensor categories.

Eintrags-ID:
1514259
14
Workshop — Operator Algebras and Applications: Free Probability
13. Nov 2023 - 17. Nov 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
Scheduled as part of Thematic Program on Operator Algebras and Applications
Eintrags-ID:
1494450
Verwandte Fachgebiete:
15
Workshop — Operator Algebras and Applications: Non-Commutative Geometry
04. Dez 2023 - 08. Dez 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
Scheduled as part of Thematic Program on Operator Algebras and Applications
Eintrags-ID:
1494515
Verwandte Fachgebiete:


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Stand vom 16. November 2022