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

[Mbs Insalate Di Matematica]

 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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