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[ 101 ] Danel's talk
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gallais committed Nov 15, 2023
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[
{
"tag": "Talk",
"date": "2023-11-23T15:00:00Z",
"speaker": "Danel Ahman",
"speakerurl": "https://danel.ahman.ee/",
"institute": "University of Ljubljana",
"insturl": "https://www.fmf.uni-lj.si/en/",
"title": "What do bidirected containers (co-)interpret into?",
"abstract": "Directed containers are a neat specialisation of containers that fully faithfully interpret into comonad structures on the polynomial functor interpretation of the underlying containers. In terms of shapes and positions, a directed container requires the family of positions to form a certain kind of dependently typed monoid acting on the shapes. In terms of data types, directed containers capture structures where every position in a shape determines a subshape rooted at that position, e.g., positions in a non-empty list determine sublists rooted at those positions.\n\nIn this talk I will discuss bidirected containers and what they interpret into. Bidirected containers specialise directed containers further by asking the positions to form a certain kind of dependently typed group acting on the positions. In terms of data types, this corresponds to every sub data structure having a position in it that takes one back to the parent data structure, i.e., data types that behave like zippers. I will also discuss what we need to seem to ask from comonads to get a similarly tight correspondence as we have for directed containers. I will end by wondering whether an analogous story also applies to the cointerpretation of directed containers as update monads.",
"location": "LT210 and Online",
"material": []
},
{
"tag": "Talk",
"date": "2023-09-29T14:00:00Z",
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