Seminário de Geometria Algébrica e Geometria Complexa – Mattia Morbello (Université de Rennes) – 25/06/25 – 16h

Car@s colegas,

temos o prazer de convidá-l@s  para  nosso próximo Seminário de Geometria Algébrica e Geometria Complexa da UFF.

Para consultar os próximos seminários e o histórico, basta consultar o site do Grupo de Geometria Algébrica e Complexa da UFF: https://sites.google.com/view/geoalgcompluff

Palestrante: Mattia Morbello (Université de Rennes)  

Local: sala 407 – Bloco H – Gragoatá

Título: Deligne-Mumford compactification of the moduli space of Painlevé V connections

Resumo:  Deligne and Mumford introduced the compactification of the moduli space of punctured curves, $\mathcal{M}_{g,n}$, using the concept of stable curves.

In this talk, we adapt their construction to a slightly different and specific setting: the Riemann sphere (genus zero) with four fixed points and a fixed tangent vector. We will explore how this moduli space is closely related to the moduli space of a particular class of meromorphic connections on the Riemann sphere, known as Painlevé V connections, up to meromorphic gauge equivlence.
Time permitting, we will also give an overview of the foliation by isomonodromic leaves induced on this moduli space, which provides the main motivation for studying this class of objects.

Data: Quarta-feira 25 de Junho, 16 horas.

Sala:  407 – Bloco H – Gragoatá.

Atenciosamente,
Juliana Coelho
Nivaldo Medeiros
Viviana Ferrer