Computer Algebra Seminar No.35 (計算代数セミナー, 第36回) at Kobe University
(神戸大学)

July 22 (Tue), 2014. 7月22日 (火曜日), 11:15--12:15
場所: Room B428, Building B (Graduate School of Science), 神戸大学 理学部B棟 B428.

Dimensions in algebraic analysis

Viktor Levandovskyy, Lehrstuhl D fuer Mathematik, RWTH Aachen University

Abstract

Gelfand-Kirillov dimension is a useful tool in ring theory. It has much in common with dimensions, used in the D-module theory (like the Krull dimension of the characteristic variety and the dimension, used by Bernstein). On the other hand, in a variety of situations Gelfand-Kirillov dimension behaves differently. Yet on the other hand, the computation of the GK-dimension of finitely generated modules is algorithmic for a broad class of non-commutative algebras. Armed with the Gelfand-Kirillov dimension, I will present an unified proof of the existence of Bernstein-Sato ideals over polynomial and Ore-localized Weyl algebras.

Past Lectures.

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連絡先: Nobuki Takayama

Other Seminars.

アクセス (Access): キャンパス地図 (campus map in Japanese).
理学部(理学研究科)はキャンパス地図の 29 番になります (the number 29 is the faculty of science (graduate school of science)).
理学部数学教室への詳しい交通案内, (Access in English)