[CvGmt News] [Notiziario] [Settimanale] avviso seminario di geometria prof. Mirko Mauri (29.10.2018)

[Valeria Giuliani]

SEMINARIO DI GEOMETRIA



Lunedì 29 ottobre 2018

ore 15:30



*Scuola Normale Superiore*

Pisa

Aula Mancini



  *Mirko Mauri*

*(University College London)*



terrà un seminario dal titolo:



*“**The essential skeletons of pairs and the geometric P=W conjecture**”*



*Abstract:*

The geometric P=W conjecture is a conjectural description of the asymptotic
behavior of the celebrated Nonabelian Hodge correspondence. In particular,
it is expected that the dual boundary complex of the compactification of
character varieties has the homotopy type of a sphere. In a joint work with
Enrica Mazzon and Matthew Stevenson, we compute the first non-trivial
examples of these dual boundary complexes in the compact case. This
requires to develop a new theory of essential skeletons over a
trivially-valued field. As a byproduct, inspired by these constructions, we
show that certain character varieties appear in degenerations of compact
hyper-Kähler  manifolds.  In this talk I will explain how these new
non-archimedean techniques can shed new light into classical algebraic
geometry problems.



Tutti gli interessati sono invitati a partecipare.



Classe di Scienze


Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
tel. 050 509260
Piazza dei Cavalieri, 7
56126 Pisa
E-mail: valeria.giuliani at sns.it
E-mail: classi at sns.it

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