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HUJI NT Seminar - Zev Rosengarten (HUJI) | Einstein Institute of Mathematics

HUJI NT Seminar - Zev Rosengarten (HUJI)

Date: 
Mon, 22/05/202314:30-16:00
Location: 
Ross 70 and Zoom
Zoom link
https://huji.zoom.us/j/84721203396?pwd=dWkyVTk0WDhlWlBOdVgxR04rKzM1UT09

Meeting ID: 847 2120 3396
Passcode: 189975

Link to recordings:

https://huji.cloud.panopto.eu/Panopto/Pages/Sessions/List.aspx?folderID=39fd71c4-753c-4a1a-a955-aeb500acd432

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Title: Asymptotically Universal Unipotent Groups

Abstract: We will introduce in turn several problems concerning algebraic groups over imperfect fields. We will then introduce a class of unipotent groups which is the key ingredient for solving all of them: asymptotically universal unipotent groups. These groups exhibit two properties which in combination render them immensely useful in the study of algebraic groups. The first, "genericity," says that arbitrary (commutative p-torsion) wound unipotent groups may be realized as subgroups of such groups (so they are in that sense generic). The second, more surprising property, "rigidity," says that such groups exhibit a remarkable rigidity in how they are built up. These two properties in conjunction reduce many problems about unipotent groups to certain very special cases.