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  • Prüfungstermin
    Am 15.01.2016 von 08:30 bis 11:45 Uhr ist Prüfungstermin für "Algebra für InformatikerInnen" (SS15), "Einführung in die Algebra" (SS15) und "Kommutative Algebra" (SS15). Prüfungsanmeldung über Kusss erforderlich!


Science Park II, 3rd floor

Science Park II, 3rd floor, GPS: 48.335634,14.323747 ...  more of Location (Titel)

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Upcoming Events

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Linz Algebra Research Day, LARD 2014

JKU Linz, Thursday, October 23, 2014

As in previous years the idea is that people from the different departments (RICAM, RISC, Algebra department, ...) doing research in algebra come together and give a brief, informal overview of their current work -- just so that people know what the others are doing.

Everybody is most cordially invited to give a talk. If you plan to do so, please send a title by October 21 to peter.mayr(/\t)
Presentations should be no longer than 10 minutes (on blackboard, no projector) and aiming at a general algebraic audience.

application/pdfSchedule (32KB)

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Peter Mayr: Die Mathematik hinter den Spielen

Montag, 20.10.2014, 19:30 - 21:00

Kepler Salon
Rathausgasse 5
4020 Linz

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Robert Gray
University of East Anglia (UK)

Date: Wednesday, April 30, 2014
Time: 10:15
Room: S2 046

Title: Finite Gröbner-Shirshov bases for Plactic algebras and biautomatic structures for Plactic monoids

The Plactic monoid has its origins in work of Schensted (1961) and Knuth (1970) concerned with certain combinatorial problems and operations on Young tableaux. It was later studied in depth by Lascoux and Schützenberger (1981) and has since become an important tool in several aspects of representation theory and algebraic combinatorics. Various aspects of the corresponding semigroup algebras, the Plactic algebras, have been investigated, for instance in Cedo & Okniński (2004), and Lascoux & Schützenberger (1990). In this talk I will discuss a result in which we show that every Plactic algebra of finite rank admits a finite Gröbner-Shirshov basis. The result is proved by using the combinatorial properties of Young tableaux to construct a finite complete rewriting system for the corresponding Plactic monoid. Also, answering a question of Efim Zelmanov, I will explain how this rewriting system and other techniques may be applied to show that Plactic monoids of finite rank are biautomatic. These results are joint work with A. J. Cain and A. Malheiro.

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87. Arbeitstagung Allgemeine Algebra (AAA87) und 28. Konferenz junger AlgebraikerInnen (CYA28): Linz, Austria, Feb 7 - Feb 9, 2014

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12th Biennial IQSA Meeting
23 - 27 June, Olomouc, Czech Republic


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