Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects hep-th,math.AG
Date Thursday 15 December 2022
Time 11:00
Institute LPTHE
Seminar Room bibliothèque du LPTHE, tour 13-14, 4eme étage
Speaker's Last Name Fresan
Speaker's First Name Javier
Speaker's Email Address
Speaker's Institution Ecole Polytechnique
Title Hodge theory and o-minimality
Abstract I will give a gentle introduction to some recent applications of o-minimal techniques to questions in Hodge theory and functional transcendence, due to Bakker, Brunebarbe, Klingler, and Tsimerman. Roughly speaking, a structure is a collection of subsets of the power set of R^n, one for each n, that are definable by first order formulas involving the operations and the order coming from the real numbers, as well as function of a certain class chosen beforehand (e.g. the real exponential). Such a structure is called o-minimal if the subsets of R are finite unions of points and open intervals. This tameness condition allows one to develop topology or geometry without the usual pathologies that one encounters while working with arbitrary spaces. For example, if a closed subset of an analytic variety is definable in some o-minimal structure, then it is automatically algebraic, whether the ambient space is proper or not. I will explain why period maps coming from Hodge theory are definable in a suitable o- minimal structure, and a few spectacular consequences of this result.
arXiv Preprint Number

To Generate a poster for this seminar : [ Postscript | PDF ]

[ Annonces ]    [ Abonnements ]    [ Archive ]    [ Aide ]    [ ]
[ English version ]