[Dottorcomp] Insalate di Matematica - A. Dell'Arciprete (Thursday 18/11)

[Mbs Insalate Di Matematica]

 Dear all,

As a part of the series of seminars *"Insalate di Matematica"*,  we remind
you that today there is a seminar held by *Alice Dell'Arciprete*
(University of East Anglia).
Moreover, we remind you that the seminar *will be held online* and it will
be *broadcast in room 3014* (building U5-Ratio, Università degli Studi di
Milano-Bicocca), where you can attend it by *prior reservation* at the link
https://sites.google.com/view/insalate-di-matematica/reservation?authuser=0
You will be required to exhibit your green pass at the entrance of the
building.

Here the details:

*Speaker*:  *Alice Dell'Arciprete* *(University of East Anglia**)*

*Date and time*: *18th November 2021, 2:00 pm (CET) *

*Title*: *"Blocks of Ariki-Koike algebras"*

* Google Meet access link:   meet.google.com/jcy-vdby-bwn
<http://meet.google.com/jcy-vdby-bwn> *

*Abstract*: Representations of the symmetric group are quite well
understood, mainly thanks to a constructive approach given by James who
developed the use of combinatorial tools, such as diagrams, tableaux and
abacuses. This approach can be generalised to give techniques for studying
representations of related algebras including the Hecke algebras of type A
and the Ariki-Koike algebras.
We consider representations of the Ariki–Koike algebra, a q-deformation of
the group algebra of the complex reflection group [image: C_r] wr [image:
S_n]. The representations of this algebra are naturally indexed by
multipartitions
of [image: n]. We examine blocks of the Ariki–Koike algebra, in an attempt
to generalise the combinatorial representation theory of the Iwahori–Hecke
algebra.
In particular, we prove a sufficient condition such that restriction of
modules leads to a natural correspondence between the multipartitions
of [image:
n] whose Specht modules belong to a block [image: B] and those of [image:
n-\delta_i(B)]  whose Specht modules belong to the block [image: B'] ,
obtained from [image: B] applying a Scopes equivalence.


*Keywords*: Symmetric group, Ariki-Koike algebra, representation theory,
combinatorics, abacus, block.


*** 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 ***

We are looking forward to seeing you!

For further information, please visit our website:
https://sites.google.com/view/insalate-di-matematica or contact us at
insalate.matematica a unimib.it.


The organizers: Luigi Appolloni, Andrea Bisterzo, Alberto Cassella,
Francesca Cottini, Ludovico Marini

Il giorno gio 11 nov 2021 alle ore 13:59 Mbs Insalate Di Matematica <
insalate.matematica a unimib.it> ha scritto:

> As part of the series of seminars *"Insalate di Matematica"*, *Alice
> Dell'Arciprete*, PhD student at the University of East Anglia, will
> deliver a talk.
> The seminar will be held online and, according to the current Covid
> regulations, it will also be broadcast in room 3014 *(more information
> below)*.
>
> Here the details:
>
> *Date and time*: *18th November 2021, 2:00 pm *
>
> *Title*:
> *"Blocks of Ariki-Koike algebras"*
>
> *Abstract*: Representations of the symmetric group are quite well
> understood, mainly thanks to a constructive approach given by James who
> developed the use of combinatorial tools, such as diagrams, tableaux and
> abacuses. This approach can be generalised to give techniques for
> studying representations of related algebras including the Hecke algebras
> of type A and the Ariki-Koike algebras.
> We consider representations of the Ariki–Koike algebra, a q-deformation of
> the group algebra of the complex reflection group [image: C_r] wr [image:
> S_n]. The representations of this algebra are naturally indexed by multipartitions
> of [image: n]. We examine blocks of the Ariki–Koike algebra, in an
> attempt to generalise the combinatorial representation theory of the
> Iwahori–Hecke algebra.
> In particular, we prove a sufficient condition such that restriction of
> modules leads to a natural correspondence between the multipartitions of [image:
> n] whose Specht modules belong to a block [image: B] and those of [image:
> n-\delta_i(B)]  whose Specht modules belong to the block [image: B'] ,
> obtained from [image: B] applying a Scopes equivalence.
>
> *Keywords*: symmetric group, Ariki-Koike algebra, representation theory,
> combinatorics, abacus, block.
>
>
>
> *Information to attend in room 3014*
> The seminar will also be broadcast in room 3014, at the building
> U5-Ratio, Università degli Studi di Milano Bicocca. For the traceability
> of persons present in the department, reservation is mandatory. You can
> reserve at the following link:
> https://sites.google.com/view/insalate-di-matematica/reservation?authuser=0
> We also remind that you will be required to exhibit your green pass at the
> entrance of the building.
>
> *Information to attend online*
> The seminar will be streamed via Google Meet platform at the following
> link: https://meet.google.com/jcy-vdby-bwn
> *** 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 or contact us at
> insalate.matematica a unimib.it.
>
>
> The organizers: Luigi Appolloni, Andrea Bisterzo, Alberto Cassella,
> Francesca Cottini, Ludovico Marini
>
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