Dear colleagues,

Dr. Liang-Ting Chen, postdoc. in University of Hawaii at Manoa will visit us next Tuesday. He is working mainly on categorical-algebraic automata theory, and the topic of the talk is Schutzenberger Products. His talk is scheduled on 19 Jul (Tuesday). You're all invited.

Thanks, and see you, Takumi Akazaki

http://www-mmm.is.s.u-tokyo.ac.jp/seminars.html

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Tue 19 July 2016, 13:00–15:00

理学部7号館102 Room 102, School of Science Bldg. No. 7

Liang-Ting Chen https://de.linkedin.com/in/liang-ting-chen-b5a74988 (Dept. of Info. and Comp. Sci., University of Hawaii), Schutzenberger Products in a Category

The Sch"utzenberger product of monoids is a key tool for the algebraic treatment of language concatenation. In this paper we generalize the Sch"utzenberger product to the level of monoids in an algebraic category 𝒟, leading to a uniform view of the corresponding constructions for monoids (Sch"utzenberger), ordered monoids (Pin), idempotent semirings (Kl'ima and Pol'ak) and algebras over a field (Reutenauer). In addition, assuming that 𝒟 is part of a Stone-type duality, we derive a characterization of the languages recognized by Sch"utzenberger products.