US-Belarus Joint Workshop on Representation Varieties; Norman, Oklahoma; December, 1992

这个美国-白俄罗斯联合研讨会，将由Andy R. 位于诺曼的俄克拉荷马州大学的马吉德和弗拉基米尔博士 白俄罗斯科学院的P. Platonov将在 “代表品种”，特别是在普拉东诺夫 猜想 四名来自白俄罗斯的研究人员和四名来自 俄克拉荷马州大学将参加为期14天的研讨会， 1992年夏末，俄克拉荷马州大学 科学优先事项，并为今后的 联合项目。 表示变体或字符变体是 其点参数化同构的几何对象 类的复矩阵表示的固定大小的一个给定的 生成的组。 这些物体的一个基本问题是 确定哪些群是有限集。 普拉东诺夫 猜想推测，唯一的线性群， 都是算术类型的。 通过将这些 来自白俄罗斯的研究人员（包括普拉东诺夫）， 深入参与这项研究的美国同行， 深入研究相关的表征多样性理论， 研讨会应能够有效地确定最有希望的 为今后在该领域的联合研究指明方向。 这个数学项目实现了以下计划目标： 促进科学知识的发展， 美国和东欧将联合收割机互补 在共同感兴趣的领域汇集人才和资源， 能力。

This U.S.-Belarus Joint Workshop, to be held by Dr. Andy R. Magid of the University of Oklahoma at Norman and Dr. Vladimir P. Platonov of the Belarus Academy of Science, will be on "Representation Varieties," in particular on the Platonov Conjecture. Four researchers from Belarus and four from the University of Oklahoma will participate in a 14 day workshop at the University of Oklahoma in late summer 1992 to identify joint scientific priorities and developing concrete proposals for future joint projects. Representation Varieties, or Character Varieties, are geometric objects whose points parameterize the isomorphism classes of complex matrix representations of a fixed size of a given finitely generated group. One basic question for these objects is to determine for which groups they are all finite sets. The Platonov Conjecture speculates that the only linear groups for which this happens are those of arithmetic type. By bringing together those researchers from Belarus (including Platonov) who have been most deeply involved in this study, and U.S. counterparts who have been deeply involved with related representation variety theory, the workshop should be able to effectively identify the most promising directions for future joint research in the area. This project in mathematics fulfills the program objective of advancing scientific knowledge by enabling leading experts in the United States and Eastern Europe to combine complementary talents and pool resources in areas of strong mutual interest and competence.