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来源:    发布日期:2021年10月13日
Dear colleagues!
 
    We cordially invite you to take part in an online Algebra Seminar, which will be held online on 13 October 2021. Dr. Egor Voronetsky, a PhD student of Nikolai Vavilov in Saint Petersburg University, will give a talk on the odd unitary groups. Dr. Raimund Preusser, who obtained his Doctor degree from Bielefeld University, is currently a postdoc at the St. Petersburg State University, and will give a talk on Sandwich classification in classical-like groups. 
 
时间:2021年10月13日 下午 北京时间:18:30—20:30 
 
加入 Zoom 会议
https://zoom.us/j/83289582840?pwd=SFZkSDlrM0VyUXQxS1F6ZDJCSUZ0dz09
 
会议号:832 8958 2840
密码:386374
 
 
Speakers:
 
1) Egor Voronetsky (PhD student of Nikolai Vavilov in Saint Petersburg University, Russia)
 
Title:  Odd Unitary groups
 
Abstract:  Unitary groups are a generalization of the classical groups GL(n, K), O(n, K), and Sp(n, K). They may be defined in terms of an involution ring with a form parameter. More recent and more general constructions of so-called odd unitary groups are due to V. Petrov and myself. Ultimately, the construction via new algebraic objects called odd form rings allow to describe, for example, all fppf twisted forms of the classical group schemes. In the talk I am going to give the details of these constructions.
 
2) Raimund Preusser
 
Title:  Sandwich classification in classical-like groups revisited
Abstract:  It follows from the Sandwich Classification Theorem for general linear groups that if $\sigma\in GL_n(R)$, where $R$ is a commutative ring and $n\geq 3$, then any elementary transvection $t_{kl}(\sigma_{ij})~(i\neq j,k\neq l)$ can be expressed as a product of $E_n(R)$-conjugates of $\sigma$ and $\sigma^{-1}$. This talk will be concerned with finding the optimal bound for the number of factors needed for such an expression. Analogues of this problem in other classical-like groups will also be discussed.
 
Contact:
 
Jun Hu (Beijing Institute of Technology), junhu404@bit.edu.cn
Zuhong Zhang (Beijing Institute of Technology), zuhong@hotmail.com
Yang Huilei (Beijing Institute of Technology), yanghuilei@bit.edu.cn
Tel.: +86-010-81384701