Exploring variations of Carleson's Problem
Speaker: Shobu Shiraki (Instituto Superior Técnico, Lisboa)
Carleson's problem in harmonic analysis investigates the minimal smoothness required in initial data to ensure almost everywhere convergence in Schrödinger equation solutions. Here, we study two recent variants of the problem: convergence along a curve and convergence for infinitely many...
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 . While in  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.
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)
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