Cari tutti,

il prossimo seminario di geometria algebrica e aritmetica di Pisa si terrà mercoledì 17 novembre alle 15:00 in Aula Magna.

Programma:
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15:00--16:00 Camilla Felisetti (Trento): Topology of Lagrangian fibrations and P=W phenomena on irreducible symplectic varieties

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 nonabelian 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.

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Chiederei agli interessati di compilare il seguente semplice modulo Doodle (misure Covid): https://doodle.com/poll/fgwgprbw2v8nrwea?utm_source=poll&utm_medium=link

Homepage del seminario: http://pagine.dm.unipi.it/tamas/saga.html

Migliori saluti,
Tamás Szamuely
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