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CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Géométrie et topologie,    Théorie des nombres, arithmétique

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 – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Théorie des groupes,    Géométrie et topologie

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

Théorie des graphes et combinatoire,    Théorie des groupes

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques