[logic-ml] Talk by Marc Bagnol (13 Apr 11:00-)

[Tetsuya Sato]

京都大学数理解析研究所の佐藤です。

4月13日11:00から、東京大学のMarc Bagnol氏に
以下の講演をしていただくことになりましたので、
ご連絡いたします。どうぞお気軽にお越しください。
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Time:	11:00-12:00, 13 Apr, 2017
Place:	Rm 478, Research Building 2, Main Campus, Kyoto University
	京都大学 本部構内 総合研究2号館 4階478号室
	http://www.kyoto-u.ac.jp/en/access/yoshida/main.html (Building 34)
	http://www.kyoto-u.ac.jp/ja/access/campus/map6r_y.htm (34番の建物)

Speaker: Marc Bagnol (JSPS Postdoctoral Fellow, University of Tokyo)

Title:	A Free Trace Construction and the Embedding Problem

Abstract:

The notion of traced category allows to model feedback
situations in the language of category theory. Traces are
ubiquitous in mathematics and serve as the basis for the
categorical formulation of Girard's Geometry of Interaction.
The notion was extended to partially-defined traces by Scott
and Haghverdi, and a representation theorem was later shown:
any partially traced category can be embedded in a fully
traced one.

A related problem we are currently investigating with some
RIMS members is understanding when a monoidal category can
be embedded into a traced one, or equivalently when it can
be equipped with a partial trace. This "embedding problem"
has already seen a few tentative solutions, conditions that
are necessary but turned out not to be sufficient which I
will present and discuss.

I will also present a construction of a free trace for
monoidal categories that both can be used to prove
the representation theorem mentioned above
(this was its original purpose) and gives an angle to
look at the embedding problem.