## October 25, 2016

### The Kan Extension Seminar Returns

#### Posted by Emily Riehl

In early 2014, the $n$-Category Café hosted the Kan Extension Seminar, a graduate reading course in category theory modeled after Daniel Kan’s eponymous reading course in algebraic topology at MIT. My experience with the seminar, described here, was overwhelming positive, so I am delighted to announce that we’re back. Alexander Campbell, Brendan Fong, and I are organizing “Kan II” in early 2017 and we are currently soliciting applications for seminar participants.

Our plan is to read the following eight papers between mid January and mid May:

• Hyland and Power, The category theoretic understanding of universal algebra: Lawvere theories and monads

• Freyd, Algebra valued functors in general and tensor products in particular

• Beck, Distributive laws

• Kelly, On the operads of J.P. May

• Kelly, Structures defined by finite limits in the enriched context, I

• Kelly, On Clubs and data-type constructors

• Lack and Rosicky, Notions of Lawvere theory

• Berger, Mellies, and Weber, Monads with arities and their associated theories

We are seeking eight participants who will read and engage with all of the papers as well as prepare an oral presentation on one of them, followed by a blog post to be published here, on the $n$-Category Café. The course will conclude with a series of short public expository lectures given, by those able to attend, on July 16 in conjunction with the 2017 International Category Theory Conference at the University of British Columbia in Vancouver.

More details, including information about how to apply, can be found on the seminar website or by contacting any of the three organizers. Applications are due November 30th. I hope you will help us spread the word by passing this message along to those who might be interested.

Posted at October 25, 2016 5:37 PM UTC

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### Re: The Kan Extension Seminar returns

Hi! I am very interested in doing this. The link at the bottom of your post is broken for me, though.

Posted by: David Jaz Myers on October 25, 2016 6:55 PM | Permalink | Reply to this

### Re: The Kan Extension Seminar returns

Posted by: Emily Riehl on October 25, 2016 7:10 PM | Permalink | Reply to this

### Re: The Kan Extension Seminar returns

No problem at all!

Posted by: David Jaz Myers on October 26, 2016 4:04 PM | Permalink | Reply to this

### Re: The Kan Extension Seminar returns

Splendid!

Posted by: Simon Willerton on October 26, 2016 9:59 AM | Permalink | Reply to this

### Re: The Kan Extension Seminar returns

Terrific! As a participant in the first Kan Extension Seminar, I can’t recommend the experience enough to anybody considering applying! I very much look forward to the public discussions here, which should be invigorating given the very nice selection of papers and the top-notch organizers.

Posted by: Tim Campion on October 27, 2016 8:21 PM | Permalink | Reply to this

### Re: The Kan Extension Seminar Returns

Just a note: the link to the Freyd paper (on the seminar website) doesn’t seem to be working (at least not for me). It can also be found here, though:

https://eudml.org/doc/262988

Posted by: Jason on December 2, 2016 9:10 AM | Permalink | Reply to this

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