Discussion of Homotopy Type Theory and Univalent Foundations
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* AMS Special Session on Homotopy Type Theory at the JMM
@ 2017-11-13 21:40 Ed Morehouse
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From: Ed Morehouse @ 2017-11-13 21:40 UTC (permalink / raw)
  To: Homotopy Type Theory

Please accept our apologies if you receive multiple copies of this 
announcement from different venues.

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: 
http://jointmathematicsmeetings.org/meetings/national/jmm2018/2197_program_ss14.html.
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)

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