Évènement

Quentin FRANÇOIS
Université de Lille

Date(s) : 13/01/2026   iCal
14h30 - 15h30

We describe from a probabilistic viewpoint
the convolution product of two conjugacy classes
of the unitary group U(n).
The description is given
in terms of a probability distribution
on the space of central measures
which admits a density.
Relating the convolution
to the quantum Littlewood-Richardson coefficients
and using recent results
describing those coefficients,
we give a positive formula
for this density.
In the same flavor
as the hive model of Knutson and Tao,
this formula is given
in terms of a subtraction-free sum
of volumes of explicit polytopes.

We will also connect
the probability density
to the computation of the volume
of the moduli space
of flat SU(n) connections
and to the Yang-Mills partition function.
This is based on a joint work
with Pierre Tarrago (ArXiv:2405.06723).

Emplacement
I2M Saint-Charles - Salle de séminaire

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• Séminaire