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CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Geometry and Topology,    Number Theory, Arithmetic

CIRM – Centre International de Rencontres Mathématiques

The aim of this CIRM-SMF week is first to provide a basic and complete introduction to o-minimality and Hodge theory, and then to give a presentation of the recent applications of o-minimality to Hodge theory, for an audience of non-experts, with a special attention to junior researchers. Our hope is that this week will provide all technical tools, both in o-minimality and Hodge theory, to young researchers, and make possible to develop some new bridges between senior researchers in Model Theory and Hodge Theory.

CIRM

GAGTA conferences form an annual series of conferences devoted to the dialogue between different approaches on infinite groups: Geometry, combinatorics, decidability, logic and algorithms. These conferences gather every year a group of involved specialists and focus on giving good opportunities to young researchers. They both contribute to long term research thematics and explore new trends. Growth of groups, metric properties as initiated by M. Gromov, computation, algorithms and logic in infinite groups are the main lines of theses conferences. Cubic groups, contracting elements in almost hyperbolic groups, random walks on groups, dynamical systems, various aspects of normal forms in specific groups, automata groups and self-similar groups are some of the current hot topics. All in all, these conferences are a meeting point between algebra, geometry and computer science. In this venue of GAGTA, we will also emphasize the strong links with symbolic dynamics as well as the strengths of Sage software for computing in group theory.

Geometry and Topology,    Group Theory

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Group Theory,    Geometry and Topology

CIRM – Centre International de Rencontres Mathématiques

The aim of the present conference is to gather mathematicians working in Algebra, Geometry, Topology, and Mathematical Physics. Created over the past 50 years, the theory of higher structures (operads, homotopy algebras, infinity-categories) has given rise recently to powerful tools which led to resolutions of open problems and prompted deep developments, for instance in algebraic topology (faithful algebraic invariants of the homotopy type of spaces), algebraic geometry (derived algebraic geometry), and deformation theory (formal moduli problems). More recent, fundamental achievements have been obtained by applying these effective and algorithmic higher algebraic methods in Lie theory (higher Lie theory), derived deformation theory (deformation theory in positive characteristic, universal deformation groups, Grothendieck–Teichmüller groups), homotopy theories (rational homotopy theories), and geometry (algebraic, complex and discrete).

Society for Industrial and Applied Mathematics (SIAM)

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

The core problem of this project stems from the heuristic articulated by many authors in mathematics and mathematical physics over an extended period, that when q 2 is a primitive ` th root of unity, there is a connection between limn→∞ TLn(q) where TLn(q) is the Temperley-Lieb algebra on the one hand, and the Virasoro algebra L = ⊕i∈ZCLi ⊕ CC on the other. The search for such a connection has hitherto led to many tantalising analogies, but as yet no definitive theorems. We shall pursue two distinct approaches to the problem.

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Graph Theory and Combinatorics,    Group Theory

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques