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Category Theory: Bryce Clarke (Tallinn)  Reflecting on lenses and split opfibrations
Category Theory: Bryce Clarke (Tallinn)  Reflecting on lenses and split opfibrations
October 2, 2024 12:00 pm  1:00 pm
Bayes 5.46
Delta lenses are functors equipped with a functorial choice of lifts, and specialise to split opfibrations when these lifts are opcartesian. In this talk, I will reflect on some of the many similarities between the rich theory of split opfibrations and the growing theory of delta lenses, and outline some yet unanswered questions. In particular, I will explore possible…
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Category Theory: Sergei O. Ivanov (Beijing)  On l_pVietorisRips complexes
Category Theory: Sergei O. Ivanov (Beijing)  On l_pVietorisRips complexes
October 9, 2024 12:00 pm  1:00 pm
Bayes 5.46
We study the concept of the l_pVietorisRips simplicial set and the l_pVietorisRips simplicial complex of a metric space, where 1≤p≤∞. For p=∞ we obtain the classical theory of VietorisRips complexes, and for p=1 we obtain the simplicial set, whose homology is the blurred magnitude homology. We prove several results that were known for the VietorisRips complex in…
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Category Theory: Julie Bergner (Virginia)  Combinatorial examples of 2Segal sets and their Hall algebras
Category Theory: Julie Bergner (Virginia)  Combinatorial examples of 2Segal sets and their Hall algebras
October 16, 2024 12:00 pm  1:00 pm
Bayes 5.46
The notion of a 2Segal set encodes an algebraic structure that is similar to that of a category, but for which composition need not exist or be unique, yet is still associative. The fact that such structures give rise to Hall algebras, generalizing constructions in representation theory and algebraic geometry, is one of the primary motivations for studying them.…
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Category Theory: Isky Mathews (Edinburgh)  TBA
Category Theory: Isky Mathews (Edinburgh)  TBA
October 23, 2024 12:00 pm  1:00 pm
Bayes 5.46
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Category Theory: TBA
Category Theory: TBA
October 30, 2024 12:00 pm  1:00 pm
Bayes 5.46
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