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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: A survey on Hopf algebra theory between algebra and geometry
Quando: 14/03/2018 - 14:45
Dove: Palazzo Campana - TORINO
Aula: Aula C
Relatore: Paolo Saracco
Afferenza: Università di Torino
Locandina: Locandina

Descrizione:

A Hopf algebra H over a field k is an ordinary associative and unital k-algebra enriched with three additional structures: a coassociative comultiplication D : H -> H\otimes H, a counit e : H -> k and an inversion (or antipode) S : H -> H. One of their striking features is that they naturally arise in a wide number of settings: in Lie theory as universal enveloping algebras of Lie algebras, in algebraic geometry as algebras of regular functions on affine algebraic groups, in differential geometry as algebras of representative functions on compact Lie groups, in group theory as group rings of abstract groups. The aim of this seminar is to give an insight into the interplay between Hopf algebra theory and geometry. We plan to recall briefly what a Hopf algebra is, how some of the aforementioned connections are built and eventually, time permitting, to say a few words about Hopf algebroids and their connection with groupoids and Lie algebroids.

Sede

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