@^ � �W �&�y���;�+V�L�ߎ� d~ �U 0�����ԁ$pZ�a㮱��#�3tz��׬ /����d�ā����d���M�[�E�� y ̋��u]���m5t��m���X�f�FV�2_׋.-����G݁��y\�a�y �W �BΫ�qŊ���M��LtVeǝ�w�y^�FV���� H�G��mؘ|[0 �* �W�cd�h���5=RV�#gh����U3z�0����ɫ �U 0HyU.a���dh���5�? ]�e�(>�>�Ht�AZ�$ t5l���W]+#�7��%g�Pu�q0��3��>�y(f� �� l�ȡ� �C The 4th International Conference on Applied Category Theory will take place at the Computer Laboratory of the University of Cambridge on 12-16 July 2021, preceded by the Adjoint School 2021 on 5-9 July. This happens right after the applied category theory school, which will be held June 29 – July 3.There will also be a tutorial day on Sunday July 5, with talks by Paolo Perrone, Emily Riehl, David Spivak and others. He has worked on spin foams in loop quantum gravity, applications of higher categories to physics, and applied category theory. There also was an adjoint school, to help grow this community by pairing ambitious young researchers together with established researchers in order to work on questions, problems, and conjectures in applied category theory. In the ACT community we feel very strongly about this issue. John Carlos Baez (/ ˈbaɪɛz /; born June 12, 1961) is an American mathematical physicist and a professor of mathematics at the University of California, Riverside (UCR) in Riverside, California. /Subtype /Image Other applied category theory courses. @^ � �W ȫ �U ȫ �U �* y �� In some cases the formalization of the domain into the language of category theory is the goal, the idea here being … stream Abstract. endobj @^ � �W � �W ȫ �U �* y �� It is not a primer on higher category theory itself. Hi! Applied category theory is a topic of interest for a growing community of researchers, interested in studying systems of all sorts using category-theoretic tools. We compare two ways of describing open systems as cospans equipped with extra data. Mentor: Simona Paoli Bicategories and double categories (and their symmetric monoidal versions) have recently featured in applied category theory: for instance, structured cospans and decorated cospans have been used to model several examples, such as electric circuits, Petri nets and chemical reaction networks. Applied category theory is a topic of interest for a growing community of researchers, interested in studying systems of all sorts using category-theoretic tools. The position is in Dayton, Ohio, USA, for one year with two additional years possible; the starting date is flexible. @^ � �W ȫ �U �* y �� Applied Category Theory is a new conference series. Category theory is a relatively new branch of mathematics that has transformed much of pure math research. 11 0 obj << Applied Category Theory: Resource Theories Posted by John Baez. @^ �� @^ � �W ȫ �U �* y �� These systems are found in the natural sciences and social sciences, as well as in computer science, linguistics, and engineering. Mathematics for Second Quantum Revolution. @^ �� /Type /Page @^ � �W ȫ �U �* y ��J^ � �W ȫ �U �* y �� See also the website with videos. The conference is part of the Compositionally family, a new diamond open access journal. These systems are found across computer science, mathematics, and physics, as well as in social science, linguistics, cognition, and neuroscience. Check out the slides of the talks at the special session on applied category theory at UCR, and also my research team's talks at the Fourth Symposium on Compositional Structures : John Baez, Props in network theory Kenny Courser, Structured cospans … - appliedcategorytheory.org While in the Netherlands for the ACT workshop, I had some time to explore Amsterdam (and eat lots of stroopwafels). Many of the groups at the school resulted in publications. stream @^ � �W ȫ �U ȫ �U �* y �� Rather than having invited speakers in the usual sense, invited talks were selected from the submitted papers, giving a chance to young researchers having produced outstanding work to take the central stage, which also helps their careers. %PDF-1.5 To begin, you can download a copy of the text: @^ ��W���. 8:00 a.m. These systems are found in the natural sciences and social sciences, as well as in computer science, linguistics, and engineering. Applied Category Theory John Baez. We look forward to seeing all of you at the next ACT conferences. Postdoc in Applied Category Theory Posted by John Baez. The goal of the ACT2019 Conference was to bring the majority of researchers in the field together and provide a platform for exposing the progress in the area. endobj The program committee, keynote speakers, and program itself are available at the ACT 2019 website. category theory has found applications in a wide range of disciplines outside of pure mathematics—even beyond the closely related fields of computer science and quantum physics. endobj The full course exists on the Azimuth Forum and this is a collection of the lectures that John Baez posted in the forum, in a GitBook-format. This school pairs ambitious young researchers together with established researchers in order to work on questions, problems, and conjectures in applied category theory. /Filter /FlateDecode Its applications to mathematics are becoming more diverse, even touching on theoretical physics, which employs higher-dimensional category theory — which is to category theory what higher-dimensional geometry is to plane geometry — to study the so-called “quantum groups” and quantum field theory (Majid 1995, Baez & Dolan 2001 and other publications by … /Width 3189 The PC Chairs, Baez is also the author of This Week's Finds in Mathematical Physics, an irregular column on … John Carlos Baez is an American mathematical physicist and a professor of mathematics at the University of California, Riverside (UCR) in Riverside, California. /Annots [ 12 0 R ] /Contents 15 0 R The Workshop on Applied Category Theory 2018 takes place in May 2018. This conference had 70 submitted papers and was attended by some 150 participants. Applied Category Theory 2021 – Adjoint School. @^ � �W ȫ �U �* y �� The application of category theory in these domains can take different forms. Applied category theory is a topic of interest for a growing community of researchers, interested in studying many different kinds of systems using category-theoretic tools. Applied Category Theory MIT Course 18.S097Independent Activities Period (IAP) 2019Taught by David Spivak and Brendan Fong© Spifong 13 0 obj Fourth Annual International Conference on Applied Category Theory (ACT 2021), July 12–16, 2021, online and at the Computer … Here’s the big annual conference on applied category theory: ACT2020, 2020 July 6-10, online worldwide.Organized by Brendan Fong and David Spivak. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. These disciplines include chemistry, neuroscience, systems biology, natural language processing, causality, network theory, dynamical systems, and database theory to name a few. @^ � �W ȫ �U �* y �* y �� @^ � �W ȫ �U �* y �� This 1st occurrence in this format resulted in some 70 submitted papers and 150 attendants. Applied category theory refers to efforts to transport the ideas of category theory from mathematics to other disciplines in science, engineering, and industry." /BitsPerComponent 8 /Parent 20 0 R x��R=s�0��+4�aٖ?���l�y�u� �ޕ�溴��v�вtb��'��{~�(�! 10 0 obj /Trans << /S /R >> << /S /GoTo /D [11 0 R /Fit] >> It’s the fourth one: the first three were at Leiden, Oxford and (virtually) MIT.This one will be online and also, with luck, in person—but don’t make your travel arrangements just yet:. GitBook version of Dr. Baez's lectures from his online Applied Category Theory course. Applied Category Theory at MIT 2019; Seven Sketches in Compositionality at MIT; Programming with Categories course at MIT David Spivak’s Applied Category Theory at LambdaConf 2017 (1/6, 2/6, 3/6, 4/6, 5/6, 6/6) Category Theory by Bartosz Milewski; Category Theory II by Barzosz Milewski
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