Previous Special Year Seminar

I will consider the asymptotic behavior of Laplacian eigenfunctions on a locally symmetric compact manifold as the volume approaches infinity. I will formulate a precise conjecture "à la Berry" and will describe some partial results obtained with...

There is a canonical pairing on the Brauer group of a surface over a finite field, which is the analogue of the Cassels-Tate pairing on the Tate-Shafarevich group of a Jacobian variety. An old conjecture of Tate predicts that this pairing is...

An orbit method (or Kirillov method) on compact $p$-adic groups establishes a one-to-one correspondence between irreducible representations and coadjoint orbits of dual blobs. After briefly recalling Howe’s Kirillov theory, we discuss its...

An orbit method (or Kirillov method) on compact $p$-adic groups establishes a one-to-one correspondence between irreducible representations and coadjoint orbits of dual blobs. After briefly recalling Howe’s Kirillov theory, we discuss its...

We will present an introduction to Arthur's trace formula from an analytic point of view. After recalling Arthur's regularization procedure, we will review the absolute convergence and continuity of the trace formula for a large natural class of...