July 2012 - Categories - categories.org.au

Partial functor
by David Leduc 17 Mar '15

17 Mar '15

Hi, A partial functor from C to D is given by a subcategory S of C and a functor from S to D. What is the appropriate notion of natural transformation between partial functors that would allow to turn small categories, partial functors and those "natural transformations" into a bicategory? The difficulty is that two partial functors from C to D might not have the same definition domain. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]

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Research positions
by Maria Manuel Clementino 26 Feb '14

26 Feb '14

5-YEAR RESEARCH POSITIONS The Centre for Mathematics of the University of Coimbra (CMUC) invites applications for five 5-year research positions in all areas of Mathematics. Applicants should have a PhD in Mathematics and at least three years of post-doctoral experience, with an international-level publication record and demonstrated ability to perform independent research. Preference will be given to candidates working in one of the areas in which the members of CMUC are currently active. A very good command of English is required. The appointments will be made for three years, renewable for two more. Successful applicants are expected to develop research within the areas of interest of CMUC. They should also contribute to graduate studies, supervising students from the Department of Mathematics. The basic salary is equivalent to the index 195 of the Portuguese research career (in the order of 42 500 euros a year), in accordance with the Ciência 2008 guidelines http://alfa.fct.mctes.pt/apoios/contratacaodoutorados/edital2008 Benefits include private health insurance and social security. Applicants should send • cover sheet (available from www.mat.uc.pt/cmuc/coversheet.pdf) including names and contact information of three persons who can provide a letter of recommendation • curriculum vitae (publication list included) • a 5-year research proposal (2 pages max), emphasizing their own research goals as pdf files to cmuc(a)mat.uc.pt. The subject of the e-mail message must include the job reference C2008 FCTUC CMUC v15-v19. The deadline for applications is *September 10, 2008.* ------------------------------ More information can be found at www.mat.uc.pt

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separable locale
by Thomas Streicher 17 May '13

17 May '13

Recently rereading Fourman's "Continuous Truth" I came across the term "separable locale" but could nowhere find an explanation. Does it mean a cHa A for which there exists a countable subset B such that ever a in A is the supremum of those b in B with b leq a. This would be the point free account of "second countable", i.e. having a countable basis. Of course, second countable T_) spaces are separable, i.e. have a countable dense set. Is this reading the "usual" one? Thomas [For admin and other information see: http://www.mta.ca/~cat-dist/ ]

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constructive mathematics
by Vasili I. Galchin 27 Jul '12

27 Jul '12

Hello Cat Group, I first apologize because my question is not directly related to category theory but perhaps some people can point me in the correct direction. Which mail list (hopefully moderated) can help me vis-a-vis a constructive approach to solutions of partial differential equations .... specfifically the Schrodinger equation? Kind regards, Vasili [For admin and other information see: http://www.mta.ca/~cat-dist/ ]

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Special Volume in honour of George Janelidze
by Marino Gran 26 Jul '12

26 Jul '12

Dear Colleagues, We are pleased to let you know that a Special Volume in honour of George Janelidze, on the occasion of his 60th birthday, will be published in Applied Categorical Structures. The guest editors of this volume are Maria Manuel Clementino, Marino Gran, Manuela Sobral, Ross Street and Walter Tholen. The deadline for submitting a contribution is October 31, 2012. Please send the .pdf file of your article to Marino Gran <marino.gran(a)uclouvain.be> with an indication of the guest editor you would like to handle your paper. We are looking forward to receiving your good contributions! With best regards, Manuela, Maria Manuel, Ross, Walter and Marino [For admin and other information see: http://www.mta.ca/~cat-dist/ ]

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Lectureships (Assistant Professorships) at Queen Mary
by Edmund Robinson 26 Jul '12

26 Jul '12

Dear all The School of Electronic Engineering and Computer Science at Queen Mary, University of London is currently advertising up to three permanent Lecturer (Assistant Professor) posts in Theoretical Computer Science. Details can be found at http://webapps.qmul.ac.uk/hr/vacancies/jobs.php?id=3218&s=Electronic%20Engi… Please feel free to forward this to any prospective applicants. Best wishes. Edmund Robinson [For admin and other information see: http://www.mta.ca/~cat-dist/ ]

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Postdoc Position at LIX/Ecole Polytechnique
by Lutz Strassburger 25 Jul '12

25 Jul '12

There is a 12 month postdoc position available at LIX, Ecole Polytechnique, within the PARSIFAL team. http://team.inria.fr/parsifal/ The selected candidate will have to conduct research on one of the topics currently studied in the Parsifal team, in particular within the projects - STRUCTURAL (http://www.lix.polytechnique.fr/~lutz/orgs/structural.html) - ProofCert (http://team.inria.fr/parsifal/proofcert/) and - RAPT (http://www.lix.polytechnique.fr/~kaustuv/rapt/) Starting date should be between September and December 2012. Profile: -------- Candidates must have a PhD in Computer Science with strong background in proof theory, declarative programming, and related fields. Application: ------------ Applicants should send their application, consisting of a CV, a research statement of 1-2 pages, explaining how they would integrate in the Parsifal team, and two recommendation letters (or names of at least two references) to: Lutz Strassburger <lutz(a)lix.polytechnique.fr> Deadline: August 24, 2012 [For admin and other information see: http://www.mta.ca/~cat-dist/ ]

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Examples of symmetric monoidal bicategories
by Roman Krenický 18 Jul '12

18 Jul '12

Dear all, I'm looking for examples of symmetric monoidal bicategories (where the structure is genuinely weak, i.e. the various isomorphisms are not identities) and I would appreciate some help. -- Actually, strict 2-categories with (genuinely) weak monoidal structure would be even more interesting, but I found it almost impossible to find anything on that. As I am using these categories as models, I need some structure that is "concrete enough" to do calculations with (while being as simple as possible). Right now I'm considering the bicategory of rings (or monoids or fields), bimodules over them, and bimodule homomorphisms, where the monoidal structure is defined by the tensor product etc. (Pointers to detailed accounts of this category would be very much appreciated, too. I've only found fairly sketchy mentions in the literature.) I would be grateful about any other examples of this kind! Thanks, Roman [For admin and other information see: http://www.mta.ca/~cat-dist/ ]

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15th Wessex seminar in Birmingham on Thursday
by Paul Levy 17 Jul '12

17 Jul '12

Dear all, A reminder that the 15th Wessex theory seminar will take place on Thursday 19 July at the University of Birmingham. The Wessex Theory Seminars are a series of workshops focused on theoretical computer science, and in particular mathematical foundations of programming languages. It is designed to be a joint seminar of Mathematics and Computer Science departments, and industrial collaborators. As you can see from the programme, the talks include proof theory, category theory, semantics, automata, security, complexity and logic. Truly something for everybody if not quite a few things. If you plan to attend please reply to this message so I can put you on the attendance list. As usual there is funding available to reimburse travel expenses etc. Further information, including abstracts, can be found at the website: https://wiki.bath.ac.uk/display/wessex/15th+Wessex+Theory+Seminar regards, Paul --- PROGRAMME 11:15 coffee 11:45 Umberto Rivieccio (Birmingham). Logics for partial and inconsistent information 12:30 Anupam Das (Bath). Finer notions of analyticity for proofs 13:15 lunch 14:15 Julian Rathke (Southampton). Local memory via layout randomisation 15:00 Steve Vickers (Birmingham). Arithmetic universes as generalized spaces 15:45 coffee 16:15 Dusko Pavlovic (Royal Holloway). Monoidal computer: towards cryptography in pictures 17:00 Andrzej Murawski(Leicester). Algorithmic games for full ground references 17:45 pub/dinner [For admin and other information see: http://www.mta.ca/~cat-dist/ ]

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Two questions
by Michael Barr 16 Jul '12

16 Jul '12

Googling around, I have come on several claims that there are no non-trivial injectives in the category of groups (e.g., Mac Lane in the 1950 Duality for groups paper credits Baer with an elegant proof, but gives no hint of what it might be and Baer's earlier paper on injectives doesn't mention it). I have not come on any proof of this, however. Somewhere I have seen a proof that all monics in the category of groups are regular. I think it was in a paper by Eilenberg and ??? and it needed a special argument if there were elements of order 2. Can someone help me find this? Michael -- The United States has the best congress money can buy. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]

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