<div dir="ltr"><div><span style="font-size:12.8px">Dear colleagues,</span><div style="font-size:12.8px"><br></div><div style="font-size:12.8px">Dr. Liang-Ting Chen,  postdoc. in <span style="font-size:12.8px">University of Hawaii at Manoa</span><span style="font-size:12.8px"> will visit us next Tuesday.</span></div><div style="font-size:12.8px">He is working mainly on categorical-algebraic automata theory,</div><div style="font-size:12.8px">and the topic of the talk is Schutzenberger Products.</div><div style="font-size:12.8px"><span style="font-size:12.8px">His </span><span style="font-size:12.8px">talk</span><span style="font-size:12.8px"> is scheduled on 19 Jul (Tuesday). You're all invited.</span><br></div><div style="font-size:12.8px"><br></div><div style="font-size:12.8px">Thanks, and see you,</div><div style="font-size:12.8px">Takumi Akazaki</div><div style="font-size:12.8px"><br></div><div style="font-size:12.8px"><a href="http://www-mmm.is.s.u-tokyo.ac.jp/seminars.html">http://www-mmm.is.s.u-tokyo.ac.jp/seminars.html</a><br></div><div style="font-size:12.8px"><br></div><div style="font-size:12.8px">-----------</div><div style="font-size:12.8px"><p style="margin:0px;color:rgb(0,0,0);font-size:11pt;font-family:Arial"><span style="font-size:14pt;font-weight:bold"><br></span></p><p dir="ltr" style="line-height:1.38;margin-top:0pt;margin-bottom:0pt"><span style="font-size:18.6667px;font-family:Arial;color:rgb(0,0,0);font-weight:700;font-style:normal;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)">Tue 19 July 2016, 13:00–15:00</span></p><p dir="ltr" style="line-height:1.38;margin-top:0pt;margin-bottom:0pt"><span style="font-size:10.6667px;font-family:Arial;color:rgb(0,0,0);font-weight:400;font-style:normal;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)">理学部7号館102</span><span style="font-size:10.6667px;font-family:Arial;color:rgb(0,0,0);font-weight:400;font-style:normal;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)"><br class=""></span><span style="font-size:10.6667px;font-family:Arial;color:rgb(0,0,0);font-weight:400;font-style:normal;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)">Room 102, School of Science Bldg. No. 7</span></p><p dir="ltr" style="line-height:1.38;margin-top:0pt;margin-bottom:0pt"><a href="https://de.linkedin.com/in/liang-ting-chen-b5a74988" style="text-decoration:none"><span style="font-size:14.6667px;font-family:Arial;color:rgb(17,85,204);font-weight:400;font-style:normal;font-variant:normal;text-decoration:underline;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)">Liang-Ting Chen</span></a><span style="font-size:14.6667px;font-family:Arial;color:rgb(0,0,0);font-weight:400;font-style:normal;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)"> (Dept. of Info. and Comp. Sci., University of Hawaii), </span><span style="font-size:14.6667px;font-family:Arial;color:rgb(0,0,0);font-weight:700;font-style:normal;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)">Schutzenberger Products in a Category</span></p><p style="margin:0px;color:rgb(0,0,0);font-size:11pt;font-family:Arial"><span></span></p><p dir="ltr" style="line-height:1.38;margin-top:0pt;margin-bottom:0pt"><span style="font-size:12px;font-family:Arial;color:rgb(102,102,102);font-weight:400;font-style:normal;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)">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 </span><span style="font-size:12px;font-family:Arial;color:rgb(102,102,102);font-weight:400;font-style:italic;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)">𝒟</span><span style="font-size:12px;font-family:Arial;color:rgb(102,102,102);font-weight:400;font-style:normal;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)">, 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 </span><span style="font-size:12px;font-family:Arial;color:rgb(102,102,102);font-weight:400;font-style:italic;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)">𝒟</span><span style="font-size:12px;font-family:Arial;color:rgb(102,102,102);font-weight:400;font-style:normal;font-variant:normal;text-decoration:none;vertical-align:baseline;white-space:pre-wrap;background-color:rgb(255,255,255)"> is part of a Stone-type duality, we derive a characterization of the languages recognized by Sch\"utzenberger products.</span></p><p style="margin:0px;color:rgb(0,0,0);font-size:11pt;font-family:Arial"><span style="font-family:arial,sans-serif;font-size:small;color:rgb(34,34,34)"><br></span></p><p style="margin:0px;color:rgb(0,0,0);font-size:11pt;font-family:Arial"><span style="font-family:arial,sans-serif;font-size:small;color:rgb(34,34,34)">-- </span><br></p></div></div><div data-smartmail="gmail_signature"><div dir="ltr">/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/<div>Dept. of Computer Science</div><div>Graduate School of Information Science and Technology</div><div>The University of Tokyo</div><div><br></div><div>Akazaki Takumi<br>mail :<<a href="mailto:ultraredrays@gmail.com">ultraredrays@gmail.com</a>><br>mobile : <090-5379-4901><br>/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/</div></div></div>
</div>