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Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

Evento

Titolo: Operads, calculi, and Hopf algebroids
Quando: 22/05/2014 - 14:30
Dove: Palazzo Campana - TORINO
Aula: Aula C
Relatore: Niels Kowalzig
Afferenza: Università di Roma Tor Vergata
Locandina: Locandina

Descrizione:

Abstract:

 

In this talk, we show under what additional ingredients a left module in 
negative degrees over an operad with multiplication can be given the 
structure of a cyclic k-module and how the underlying simplicial homology 
gives rise to a calculus structure (or Batalin-Vilkovisky module) over the 
cohomology of the operad, which is in some sense a dual picture to the 
relationship between cyclic operads and Batalin-Vilkovisky algebras. In 
particular, we obtain explicit expressions for a generalised Lie 
derivative as well as a generalised (cyclic) cap product that obey a 
Cartan-Rinehart homotopy formula. Examples include the calculi known for 
the Hochschild theory of associative algebras, for Poisson structures, but 
above all the calculus for a general left Hopf algebroid with respect to 
general coefficients (in which the classical calculus of vector fields and 
differential forms is contained).

Sede

Sede: Palazzo Campana - Sito web
Indirizzo: Via Carlo Alberto 10
CAP: 10123
Città: TORINO