Program - December 19, 2022 (Aula Dottorato, first floor)
You can download the poster and the program.
14:00-14:50
Carolina Tamborini
A topological construction of families of Galois covers of the line.
Abstract:
We describe a new construction of families of Galois coverings of the line using basic properties of configuration spaces, covering theory, and the Grauert-Remmert Extension Theorem.
15:00-15:50
Antonio Lorenzin
Bounded derived categories and strong
uniqueness of enhancements.
Abstract:
A recent article by Canonaco, Neeman and
Stellari showed that derived categories of
abelian categories have a unique
enhancement. In this talk, we show that this
result holds for all exact categories under the
boundedness requirement. In particular, the
bounded homotopy category of complexes over
any additive category also has a unique
enhancement. Afterward, we present a
necessary and sufficient condition for the
strong uniqueness of enhancements, providing
some context in the known theory. This
presentation is based on my recent preprint
"Formality and strong uniqueness of
enhancements".
16:30-17:20
Alessio Bottini
Towards a modular construction of OG10
Abstract:
The known examples of hyper-Kähler manifolds are constructed as
(possibly desingularized) moduli spaces of sheaves on holomorphic
symplectic surfaces. It is believed that, similarily, moduli spaces of
certain sheaves on hyper-Kähler manifolds could lead to new examples,
but they have proven to be much more difficult to study. For this
purpose, a new class of sheaves, called modular, was recently
introduced. They have beautiful properties which make them good
candidates to have well-behaved moduli spaces. In this talk, I will give
the first example of a non-rigid modular stable bundle whose moduli
space is birational to OG10.
This event is supported by the reasearch project ERC-2017-CoG-771507, StabCondEn (
web page).