### Two conjectures on the Weil representations of the finite symplectic and unitary groups

Algebra and Geometry Seminar

6th March 2019, 2:30 pm – 3:30 pm

Howard House, 4th Floor Seminar Room

The Weil representations are distinguished complex representations of

small degree of the finite symplectic and unitary groups. We present two

conjectures on the composition multiplicites of the tensor product of a

Weil representation with an irreducible representation. Some evidence

for these conjectures is given, as well as a potential application (in

case the conjectures hold). This is joint work with Moritz Schroeer.

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