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Add to My Calendar

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: P=W phenomena on singular moduli spaces
Quando: 14/11/2022 - 15:30
Dove: Palazzo Campana - TORINO
Aula: Aula 4
Relatore: Camilla Felisetti
Afferenza: Università di Modena e Reggio Emilia
Locandina: Locandina

Descrizione:

Abstract:

Irreducible holomorphic symplectic (IHS) varieties can be thought as a generalization of hyperkähler manifolds allowing singularities. 
Among them we can find for example moduli spaces of sheaves on K3 and abelian surfaces, which have been recently shown to play a crucial role in non abelian Hodge theory. 
After recalling the main features of IHS varieties, I will present several results concerning their intersection cohomology and the perverse filtration associated with a Lagrangian fibration, establishing a compact analogue of the celebrated P=W conjecture by de Cataldo, Hausel and Migliorini for varieties which admit a symplectic resolution.
The talk is based on joint works with Mirko Mauri, Junliang Shen and Qizheng Yin. 

Sede

Sede: Palazzo Campana
Indirizzo: Via Carlo Alberto n.10
CAP: 10123
Città: TORINO