Gerhard Hiss

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

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.