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On stabilisation phenomena in Iwasawa theory

Titel der Veranstaltung On stabilisation phenomena in Iwasawa theory
Reihe MathematischeGesellschaft
Veranstalter Mathematisches Institut
Referent/in Dr. Sören Kleine
Einrichtung Referent/in Universität der Bundeswehr München
Veranstaltungsart Kolloquium
Kategorie Forschung
Anmeldung erforderlich Nein
Beschreibung In Iwasawa theory one studies the asymptotic growth of arithmetic invariants in a chain of p-power field extensions (e.g., the class numbers of the intermediate number fields or the Tate-Shafarevich groups of algebraic varieties defined over these number fields). Surprisingly, many of these invariants grow in a very uniform manner; it is then of particular interest to determine the number of fields in the chain which are sufficient for revealing the exact growth pattern.
After a self-contained introduction to the subject, we will discuss several situations in which one can make explicit a sufficient number of fields.
Zeit Beginn: 28.11.2019, 16:15 Uhr
Ende: 28.11.2019 , 17:15 Uhr
Ort Mathematisches Institut (Bunsenstr 3-5)
Sitzungszimmer
Kontakt 0551-3927752
annalena.wendehorst@mathematik.uni-goettingen.de