Link to recording:

 https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=e586d51a-0361-43c5-93a8-aff600ce7807
 
Title: Effective equidistribution of semisimple adelic periods after
Einsiedler, Margulis, Mohammadi, and Venkatesh.

Abstract: An adelic period inside the automorphic quotient G(Q)\G(A) of
a (here semisimple) Q-group G is a period orbit of the form G(Q)H(A)g
for a Q-subgroup H < G. Under a maximality assumption, Einsiedler,
Margulis, Mohammadi, and Venkatesh proved around 2015 that semisimple
periods are equidistributed with a rate polynomial in the volume. An
essential feature of this deep result is its uniformity in all
parameters (in particular the absence of any type of splitting condition
on H). This is achieved using volume formulas of Prasad and
Borel-Prasad. The result has interesting applications, for instance to
equidistribution of genera of (e.g.) ternary integral quadratic forms in
the space of similarity classes of ternary real forms.

In these talks, we will discuss the work of EMMV more or less from
scratch. In particular, we explain all the terminology above and look at
ideas and some highlights of the proof.