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<Theme details>
The dichotomy between enriched and internal categorical structures
Speaker: Rui Prezado (CMUC, Univ. Coimbra)
We revisit the dichotomy between enriched and internal categories in a base category V. By describing these objects as monads internal to certain proarrow equipments, we construct a change-of-base adjunction between the category of enriched V-categories and the category of internal...

Effective descent morphisms of Ord//X, revisited
Speaker: Maria Manuel Clementino (CMUC, Univ. Coimbra)
In this talk we will present recent results on effective descent morphisms of the lax comma category Ord//X, which improve results obtained in [2]. While in [3] effective descent morphisms of Ord, and consequently of the comma category Ord/X, were obtained making use of the category of...

Lie groupoids: between equivariant and non-commutative geometry
Speaker: Bjarne Kosmeijer (Univ. Amsterdam, Netherlands)
Lie groupoids are important objects in the study of symmetries, because they encode a broader notion of symmetries than just actions of Lie groups. It is important, for instance in the context of index theory, to understand the equivariant geometric aspects of a Lie groupoid. For Lie...

Supercharacters: behind and beyond
Speaker: Carlos André (CMUC & Univ. Lisboa)
Describing the conjugacy classes or irreducible characters of the unipotent upper triangular group over a finite field is known to be an impossibly difficult problem. Superclasses and  supercharacters have been introduced (under the names of "basic varieties" and "basic characters") as...

Speaker: Gonçalo Varejão (CMUC, UC|UP PhD student)

Speaker: Aram Diaw (CMUP, Univ. Porto)

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