Showing math.RTShow all
3 papers · 1 filter
math.RT2026
Theta correspondence and Arthur packets: on the Adams conjecture
Petar Bakic, Marcela Hanzer
The Adams conjecture predicts that the local theta correspondence should respect Arthur packets. In this paper, we revisit the Adams conjecture for the symplectic--even orthogonal…
math.RT2025
On the MuiÄ conjecture--the irreducibility of the big theta lift
Marcela Hanzer
Let be a non-archimedean local field of characteristic zero. We study theta correspondence for (complex) representations of symplectic--even orthogonal dual reductive pairs ove…
math.RT2024
Multiplicity free Weil representations arising from exceptional groups
Marcela Hanzer, Gordan Savin
Using exceptional theta correspondences, we prove that certain Weil representations of -adic groups are multiplicity free and determine irreducible quotients.