Lorentz Center

International center for scientific workshops

International center for scientific workshops

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## Applied Category Theory - 1st week tutorial at Snellius / 2nd week workshop at Oort |

Aim Towards an integrative science: in ACT 2018, we want
to instigate a multi-disciplinary research program in which concepts,
structures, and methods from one scientific discipline can be reused in
another. The aim of the workshop is to (1) explore the use of category theory
within and across different disciplines, (2) create a more cohesive and
collaborative ACT community, especially among early-stage researchers, and (3)
to accelerate research by outlining common goals and open problems for the
field. Description Category theory was developed in the 1940s to
translate ideas from one field of mathematics to another. Topologists and
geometers use category theory to describe the passage from one mathematical
structure to another, while category theorists are also interested in
categories for their own sake. In computer science and physics, many types of
categories are used to give a formal semantics of domain-specific phenomena
such as automata, regular languages, or quantum protocols. More recently,
category theory has become an unexpectedly useful and economical tool for
modeling a range of different disciplines, including programming language
theory, quantum mechanics, systems biology, complex networks, database theory,
and dynamical systems. In the applied category theory community, a
long-articulated vision understands categories as mathematical workspaces for
the experimental sciences, similarly to their use in topology and geometry.
This vision has proved true in certain fields, including computer science and
mathematical physics, and we believe that these results can be extended in an
exciting direction. We believe that category theory has the potential to bridge
specific different fields, and moreover that theoretical developments in fields
such as automata can be transferred successfully to application areas, for
example systems biology, through category theory. Already, for example, the
categorical modeling of quantum processes has helped solve an important open
problem in natural language processing. The workshop will host talks on a wide range of
applications of category theory, including four special tracks on exciting new
developments in the field: ·
Dynamical systems and networks ·
Systems biology ·
Cognition and AI ·
Causality Accompanying the workshop will be a 4-day summer
school for a limited number of early-career researchers, as well as a 16-week
series of online seminars for up to 16 PhD students and postdocs called the Kan Extension Lab. While attendance at the summer school is not required
to attend the online seminar, or vice versa, our intention is for participants
to attend both. Participants will have the opportunity to work with established
mentors in the field, and will have the opportunity to present their research
at the full workshop. [Back] |