The local GanGrossPrasad conjecture for real unitary groups
The local GanGrossPrasad conjecture for real unitary groups

Hang Xue, The University of Arizona
Zoom link: https://princeton.zoom.us/j/97126136441
Passcode: The three digit integer that is the cube of the sum of its digits
A classical branching theorem of Weyl describes how an irreducible representation of compact U(n+1) decomposes when restricted to U(n). The local GanGrossPrasad conjecture provides a conjectural extension to the setting of representations of noncompact unitary groups lying in a generic Lpacket. We prove this conjecture. Previously BeuzartPlessis proved the ``multiplicity one in a Vogan packet'' part of the conjecture for tempered Lpackets using the local trace formula approach initiated by Waldspurger. Our proof uses theta lifts instead, and is independent of the trace formula argument.