Discussion of Homotopy Type Theory and Univalent Foundations
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* [HoTT] fully funded graduate positions in mathematics at Western
@ 2018-11-16 10:21 Chris Kapulkin
  2018-11-18 13:51 ` [HoTT] Hopf fibrations and computer science José Manuel Rodriguez Caballero
  0 siblings, 1 reply; 2+ messages in thread
From: Chris Kapulkin @ 2018-11-16 10:21 UTC (permalink / raw)
  To: homotopytypetheory

Please distribute to undergraduate and master's students and
appropriate counsellors and supervisors.

Note that we have several faculty members, postdocs and graduate
students with interests involving homotopy type theory, including Dan
Christensen and Chris Kapulkin.

-----

                       Graduate Student Positions

                       Department of Mathematics
                     University of Western Ontario
                        London, Ontario, Canada

The Department of Mathematics at the University of Western Ontario
solicits applications for its MSc and PhD programs.  We have up to
15 fully funded positions available, and applicants from any country
are welcome.

Our faculty members supervise research in a variety of areas:

   http://www.math.uwo.ca/graduate/supervisors.html

The Department of Mathematics is part of the School of Mathematical Sciences:

   http://uwo.ca/smss/

More information about our program, including the application
procedure, is available at

   http://www.math.uwo.ca/graduate/

Students normally start in September, in which case applications should
be complete (including letters of reference and supplementary material)
by February 1.  Applications received after this deadline will be
reviewed as space permits.  We encourage applicants to apply for
external scholarships they are eligible for.

Please contact math-grad-program@uwo.ca with any questions you may have.

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* [HoTT] Hopf fibrations and computer science
  2018-11-16 10:21 [HoTT] fully funded graduate positions in mathematics at Western Chris Kapulkin
@ 2018-11-18 13:51 ` José Manuel Rodriguez Caballero
  0 siblings, 0 replies; 2+ messages in thread
From: José Manuel Rodriguez Caballero @ 2018-11-18 13:51 UTC (permalink / raw)
  To: HomotopyTypeTheory

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Hello,
  During the min 8 of the following video

https://www.youtube.com/watch?v=3-E1SdSMipE

the mathematician Prof. Eric Weinstein (Harvard) claimed that the Hopf
fibrations is the most important object in the universe. According to the
principle

types (in the sense of type theory) = homotopy types (in the sense of
topology)

the Hopf fibrations are a type in the sense of type theory. My question is:
What does this type means from the point of view of computer science? Are
there some possible concrete applications of Hopf fibrations to proof
assistants and programming languages via HoTT?

Kind Regards,
José M.

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2018-11-16 10:21 [HoTT] fully funded graduate positions in mathematics at Western Chris Kapulkin
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Discussion of Homotopy Type Theory and Univalent Foundations

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