Statut  Confirmé 
Série  SEMDARBOUX 
Domaines  hepth,math.AG 
Date  Jeudi 1 Juin 2023 
Heure  11:00 
Institut  LPTHE 
Salle  bibliothèque du LPTHE, tour 1314, 4eme étage 
Nom de l'orateur  Givental 
Prenom de l'orateur  Alexander 
Addresse email de l'orateur  
Institution de l'orateur  UC Berkeley 
Titre  ChernEuler intersection theory and GromovWitten invariants 
Résumé  Abstract: In the talk I will outline our (joint with Irit HuqKuruvilla) attempt to develop the theory of GromovWitten invariants based on Euler characteristics rather than intersection numbers. The purely homotopytheoretic aspects of the story begin with the observation that in the category of stably almost complex manifolds the usual Euler characteristic is bordisminvariant. This leads to the abstract cohomology theory where the intersection of (stably almost complex) cycles is defined as the Euler characteristic of their transverse intersection, and where the total Chern class occurs in the role of the abstract Todd class. Our goal, however, is to apply this idea in the context of GromovWitten (GW) theory. The plan for the talk includes three elements: (i) some preliminaries on complex cobordisms, (ii) the thickbrush overview of why the ChernEuler GWtheory might be interesting, and (iii) a simplest example dealing with the Euler characteristics of DeligneMumford spaces factorized by permutations of marked points. 
Numéro de preprint arXiv  
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