Previous Conferences & Workshops

Three fundamental factors determine the quality of a statistical learning algorithm: expressiveness, optimization and generalization. The classic strategy for handling these factors is relatively well understood. In contrast, the radically different...

Deformation spaces of representations of Galois groups of p-adic fields with p-adic Hodge theoretic conditions play a central role in many arithmetic questions, such as the weight part of Serre's conjecture and modularity lifting theorems, yet they...

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...

The end of the previous century saw radical changes to three-dimensional topology, which arose from two completely different approaches. One breakthrough came from Thurston's introduction of hyperbolic geometry into the field. The second one came...

The classical Carleson operator, which is intimately related to the Fourier transform, was an oscillatory singular integral operator with a linear phase. Motivated by a question of Eli Stein, recent consideration of Carleson operators has focused on...

Braverman and Kazhdan have conjectured the existence of summation formulae that are essentially equivalent to the analytic continuation and functional equation of Langlands L-functions in great generality. Motivated by their conjectures and related...

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...

Algorithmic graph partitioning tasks are naturally related to geometric issues. Over the past decades, several deeper connections of this type have emerged. In this talk, we will describe one example by showing that, up to lower order factors, the...