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November 13, 2017


Posted by Mike Shulman

At the 2018 U.S. Joint Mathematics Meetings in San Diego, there will be an AMS special session about homotopy type theory. It’s a continuation of the HoTT MRC that took place this summer, organized by some of the participants to especially showcase the work done during and after the MRC workshop. Following is the announcement from the organizers.

We are pleased to announce the AMS Special Session on Homotopy Type Theory, to be held on January 11, 2018 in San Diego, California, as part of the Joint Mathematics Meetings (to be held January 10 - 13).

Homotopy Type Theory (HoTT) is a new field of study that relates constructive type theory to abstract homotopy theory. Types are regarded as synthetic spaces of arbitrary dimension and type equality as homotopy equivalence. Experience has shown that HoTT is able to represent many mathematical objects of independent interest in a direct and natural way. Its foundations in constructive type theory permit the statement and proof of theorems about these objects within HoTT itself, enabling formalization in proof assistants and providing a constructive foundation for other branches of mathematics.

This Special Session is affiliated with the AMS Mathematics Research Communities (MRC) workshop for early-career researchers in Homotopy Type Theory organized by Dan Christensen, Chris Kapulkin, Dan Licata, Emily Riehl and Mike Shulman, which took place last June.

The Special Session will include talks by MRC participants, as well as by senior researchers in the field, on various aspects of higher-dimensional type theory including categorical semantics, computation, and the formalization of mathematical theories. There will also be a panel discussion featuring distinguished experts from the field.

Further information about the Special Session, including a schedule and abstracts, can be found at: Please note that the early registration deadline is December 20, 2017.

If you have any questions about about the Special Session, please feel free to contact one of the organizers. We look forward to seeing you in San Diego.

Simon Cho (University of Michigan)

Liron Cohen (Cornell University)

Ed Morehouse (Wesleyan University)

Posted at November 13, 2017 10:03 PM UTC

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Re: HoTT at JMM

Perhaps for the emblem of Homotopical Trinitarianism you might choose the Borromean rings, which after all have been used to represent the Trinity. Interesting homotopy in the complement too.

Emily’s abstract sounds intriguing too

Sattler’s directed univalence axiom asserts that arrows in the universe are equivalent to spans of types.

Posted by: David Corfield on November 16, 2017 8:42 AM | Permalink | Reply to this

Re: HoTT at JMM

Not a bad idea.

Posted by: Mike Shulman on November 16, 2017 9:27 AM | Permalink | Reply to this

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