[Dottorcomp] Insalate di Matematica - C. Novarini (Wednesday 17/02)

[Francesca Cottini]

As part of the series of seminars *"Insalate di Matematica"*, Chiara
Novarini, PhD student at the University of Vienna, will deliver an online
talk. Here the details:

*Date and time*: *17th **February** 2021, 2:00 pm*

*Title*: *"Double affine Hecke algebras and their representations"*

*Abstract*: Double affine Hecke algebras (DAHAs) were introduced by
Cherednik in the late '80s to study Knizhnik-Zamolodchikov equations. They
gained popularity as they were used by Cherednik himself to prove
Macdonald's constant term conjecture about Macdonald polynomials.
Since then, the theory of DAHAs has been connected to several areas of
Mathematics, such as Geometry, Knot Theory, Quantum Algebra and
Combinatorics.
In the first part of the talk, we will see how to construct step by step
the [image: GL_n] DAHA by gluing two copies of the affine Hecke algebra.
We will then move on to focus our attention on some special DAHA
representations and study the combinatorial objects that can be used to
describe them.
Finally, we will see how this class of representations is related to the
theory of quantum groups and take a look at the most recent developments in
this direction.

*Keywords*: DAHA, Quantum Groups, Representation Theory.


The event will be held via Google Meet platform at the following link:
https://meet.google.com/dmz-peya-qzm

*** 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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