[Dottorcomp] Insalate di Matematica - M. Piccolo (Thursday 24/06)

[Mbs Insalate Di Matematica]

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Il giorno ven 18 giu 2021 alle ore 09:44 Mbs Insalate Di Matematica <
insalate.matematica a unimib.it> ha scritto:

> As part of the series of seminars *"Insalate di Matematica"*, Margherita
> Piccolo, PhD student at HHU Düsseldorf, will deliver an online talk. Here
> the details:
>
> *Date and time*: *24th June 2021, 11:00 am **(be careful with the change
> of starting time)*
>
> *Title*:
> *"Representation growth of semisimple profinite groups"*
>
> *Abstract*: A profinite group is called semisimple if it is the Cartesian
> product of finite simple groups. The representation growth of such groups
> can be studied looking at the distribution of irreducible representations
> by means of a zeta function, that is a Dirichlet generating function. Under
> certain restrictions, the representation growth is polynomial with a wide
> range of growth.
> Moreover, given a profinite group, it is generally a difficult question to
> determine if it is, in fact, isomorphic to a profinite completion of an
> abstract group. In this talk, I discuss a result of Kassabov and Nikolov
> which provides a criteria for a semisimple profinite group to be a
> profinite completion. Based on this, I report on my work which is aimed at
> constructing semisimple profinite groups with specified polynomial
> representation growth that arise as profinite completions of abstract
> groups (with the same representation growth).
>
> *Keywords*: Semisimple profinite groups, Representation growth, Profinite
> completion.
>
>
> The event will be held via Google Meet platform at the following link:
> meet.google.com/saz-pcbd-fad
>
> *** We inform you that the talk will be recorded and uploaded on our
> website. If you join the talk after the starting time, we kindly ask you to
> ensure that your microphone and webcam are turned off ***
>
> You can find the poster of the event in the attachment. We are looking
> forward to seeing you!
>
> For further information, please visit our website:
> https://sites.google.com/view/insalate-di-matematica
>
>
> The organizers: Luigi Appolloni, Federico Bernini, Francesca Cottini, Luca
> Di Gravina, Ludovico Marini
>
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