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1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeFeb 26th 2019
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexUpdated Eric's webpage. <a href="https://ncatlab.org/nlab/revision/diff/Eric+Finster/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eric+Finster/4">v4</a>, <a href="https://ncatlab.org/nlab/show/Eric+Finster">current</a>

   Updated Eric’s webpage.

   diff, v4, current

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeFeb 26th 2019
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexEric's [CNRS Research Proposal](http://ericfinster.github.io/files/proposal-long.pdf) is an interesting read. A couple of items I'd like to hear more about: > the terminal example of a polynomial monad turns out to be quite interesting: it is the universe Type of type theory itself, equipped with the operation of dependent sum $\Sigma$. (p. 8) > any dependent family $P:X \to Type$ can be used to generate a left exact modality in type theory. (p. 13) It seems that first point is along the lines of the section [polynomial monad: Relation to object classifiers](https://ncatlab.org/nlab/show/polynomial+monad#relation_to_object_classifiers).

   Eric’s CNRS Research Proposal is an interesting read. A couple of items I’d like to hear more about:

   the terminal example of a polynomial monad turns out to be quite interesting: it is the universe Type of type theory itself, equipped with the operation of dependent sum $\Sigma$. (p. 8)

   any dependent family $P:X \to Type$ can be used to generate a left exact modality in type theory. (p. 13)

   It seems that first point is along the lines of the section polynomial monad: Relation to object classifiers.

3. • CommentRowNumber3.
   • CommentAuthorAli Caglayan
   • CommentTimeFeb 26th 2019
   • (edited Feb 27th 2019)
   • PermaLink
   Author: Ali Caglayan
   Format: MarkdownItex@David the second point is Theorem 3.10 in [arXiv:1706.07526](https://arxiv.org/abs/1706.07526). Edit: No its not.

   @David the second point is Theorem 3.10 in arXiv:1706.07526.

   Edit: No its not.

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeFeb 26th 2019
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexAh OK, thanks.

   Ah OK, thanks.

5. • CommentRowNumber5.
   • CommentAuthorMike Shulman
   • CommentTimeFeb 27th 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexNo it's not! It's <http://mathieu.anel.free.fr/mat/doc/Anel-LexLocalizations.pdf>.

   No it’s not! It’s http://mathieu.anel.free.fr/mat/doc/Anel-LexLocalizations.pdf.

6. • CommentRowNumber6.
   • CommentAuthorDavid_Corfield
   • CommentTimeFeb 27th 2019
   • (edited Feb 27th 2019)
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexI see. So it's about describing $(\infty, 1)$-toposes via presentations rather than sites (slide 69). >PSp [parameterized spectra] is arguably the main protagonist of ∞-topos theory (slide 20) is a bold claim. I see Mathieu in now based in Philosophy at CMU, and has some interesting reflections at his [site](http://mathieu.anel.free.fr/).

   I see. So it’s about describing $(\infty, 1)$-toposes via presentations rather than sites (slide 69).

   PSp [parameterized spectra] is arguably the main protagonist of ∞-topos theory (slide 20)

   is a bold claim.

   I see Mathieu in now based in Philosophy at CMU, and has some interesting reflections at his site.

7. • CommentRowNumber7.
   • CommentAuthorRichard Williamson
   • CommentTimeFeb 27th 2019
   • PermaLink
   Author: Richard Williamson
   Format: MarkdownItex> has some interesting reflections at his site I don't think I've seen the following before! > Verdier duality, which is measure theory on topoi.

   has some interesting reflections at his site

   I don’t think I’ve seen the following before!

   Verdier duality, which is measure theory on topoi.

8. • CommentRowNumber8.
   • CommentAuthorMike Shulman
   • CommentTimeFeb 27th 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItex>it's about describing $(\infty, 1)$-toposes via presentations rather than sites That's one way of saying it. Another way to say it is that they've finally found the correct $\infty$-categorical notion of "site".

   it’s about describing $(\infty, 1)$-toposes via presentations rather than sites

   That’s one way of saying it. Another way to say it is that they’ve finally found the correct $\infty$-categorical notion of “site”.

9. • CommentRowNumber9.
   • CommentAuthorDavid_Corfield
   • CommentTimeApr 3rd 2023
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexAdded * {#FMLS} [[Eric Finster]], [[Samuel Mimram]], Maxime Lucas, Thomas Seiller, _A Cartesian Bicategory of Polynomial Functors in Homotopy Type Theory_ ([arXiv:2112.14050](https://arxiv.org/abs/2112.14050)). <a href="https://ncatlab.org/nlab/revision/diff/Eric+Finster/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eric+Finster/11">v11</a>, <a href="https://ncatlab.org/nlab/show/Eric+Finster">current</a>

   Added

   • {#FMLS} Eric Finster, Samuel Mimram, Maxime Lucas, Thomas Seiller, A Cartesian Bicategory of Polynomial Functors in Homotopy Type Theory (arXiv:2112.14050).

   diff, v11, current