Conferences  >  Mathematics  >  Mathematical Logic and Foundations

The Research Institute for Mathematical Sciences (RIMS)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

This is a workshop in commutative algebra, broadly interpreted, with a focus on three areas, all concerned with resolutions in various forms. One is the resolution of singularities of algebraic varieties, which remains a vibrant topic of research. The second is the theory of noncommutative resolution of singularities. Introduced two decades ago, this subject has witnessed remarkable growth developing connections to algebraic geometry, commutative algebra, cluster algebras, and the representation theory of algebras, both commutative and noncommutative, among others. The third intended meaning of the word “resolution” is as in free resolutions of algebras and modules in commutative algebra.

São Paulo Research Foundation (Fapesp)

The SPLogIC, funded by the São Paulo Research Foundation (Fapesp), aims to provide an overview of the state-of-the-art methodology and research on contemporary logic (featuring non-classical logics), rationality, and information.

History and Philosophy of Paraconsistent Logics • The Australian, Belgian, Brazilian, Israeli, and Polish Schools on Paraconsistency • Logic and Reasoning • Logic and Information • Logic and Argumentation • Methodological Aspects on Interpreting, Translating, and Combining Logics • Logic, Probability, and Artificial Intelligence

Courses and Events for Math Students and Early Career Researchers,    Information Theory, Foundations of Computer Science

CSL is the annual conference of the European Association for Computer Science Logic (EACSL).

An interdisciplinary conference, spanning across both basic and application oriented research in mathematical logic and computer science. CSL’23 is hosted by the University of Warsaw.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Stability theory, in the sense of mathematical logic, consists of a collection of technical methods first developed to address the logical problem of classifying abstract models of mathematical theories. Stability theory has proven to be applicable to other mathematical problems such as understanding rational solutions of algebraic equations. It has recently been shown that the techniques and methods used for the classification described above can be used in much more general settings with applications to other areas of mathematics such as algebraic geometry, additive combinatorics and extremal graph theory. Researchers at this meeting will study these developments to deepen these applications, and to extend the scope of stability theory to an even wider range of mathematical theories.

CIRM – Centre International de Rencontres Mathématiques

The debate between Hilbert and Brouwer, which took place at the beginning of the 20th century, is without doubt one of the most important events in the history of foundations of mathematics. In that debate Brouwer rejected transcendent proof methods and insisted on the exclusive use of intuitionist (or constructive) arguments for a conceptually correct development of mathematics. Hilbert, on the contrary, viewed these transcendental and non-effective proofs as the very essence of mathematical thinking. He introduced proof theory in the hope to justify these transcendent methods by purely effective means. While Gödel’s second incompleteness theorem is generally said to contravene Hilbert’s hopes, it is remarkable that Gödel himself insisted on the fact that his result does not contradict at all Hilbert’s program. In fact, the impact of Gödel’s result on Hilbert’s program was the topic of a discussion between Gödel, Herbrand and Neumann about the fundamental question of the scope of constructive mathematics. Recent results in different fields of mathematics, such as proof theory, type theory, constructive algebra and categorical logic, shed new light on this question. For instance, proof theory seems to indicate precise limits to intuitionistic type theory, while on the other hand the Univalence Axiomallows for a rather unexpected extension of constructive methods. The goal of this workshop is precisely to bring together experts in these different fields to evaluate the impact of those new results on foundations of mathematics.

The Fields Institute

This workshop will be less focused in nature and will bring together small groups of experts centered around emerging applications of set theory. This will include applications of set-theory in algebraic topology and homological algebra, operator algebras (for instance Koszmider's solution to Anderson's conjecture), Keisler's order in model theory, and the geometry of Banach spaces.

Casa Matemática Oaxaca (CMO)

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.

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

Casa Matemática Oaxaca (CMO)

In the recent development of Mathematics, the study of symmetry of highly singular objects has contributed to the simultaneous understanding of symmetries and groups. The aims of the Workshop are the study of symmetries of the Cantor set, and the understanding of the groups arising as symmetries of the Cantor set.

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Banach Center & Polish Academy of Sciences – Institute of Mathematics

To disseminate some of the recent developments in set theory. The conference will have 5-6 parallel tutorials that will disseminate modern techniques. The tutorials will be aimed at both graduate students as well as senior researchers.