University of Washington

We consider a region in the complex plane enclosed by a deltoid curve inscribed in the unit circle, and define a family of polynomials that satisfy the same recurrence relation as the Faber polynomials for this region. We use this family of...

The talks will be in Paccar Hall Room 291. Abstracts to the talks can be found on the Program page. July 17 : 8:30 - 9: 0 0: Coffee + Opening Remarks 9:00 - 9:30 : Jonathan Novak (UCSD) - Invariant ensembles for coin flippers 9:30 - 10:00: Arnab Sen...

Random walks or diffusions with Dirichlet boundary condition (killing at the boundary) admit a Perron-Frobenius eigenfunction (the unique positive normalized eigenfunction when the domain is bounded). Starting with gambler's ruin problems, we discuss...

There are many synergies between probability theory and convex geometry, especially in high-dimensional settings. We discuss some classical examples and then focus on a recent development concerning a famous theorem of von Neumann, which establishes...

In this talk, I will describe the mathematics behind proving lower bounds on quantum circuit depth using light-cone arguments. These arguments have been used to prove lower bounds on the complexities of physically relevant ground states. No quantum...

We survey some new and old, positive and negative results on a priori estimate, regularity, rigidity, and constant rank results for special Lagrangian and quadratic Hessian equations. These equations originate in calibrated, convex, conformal, and...

A unitary connection on the 2-sphere is called transparent, if its parallel along all great circles is the identity. In the scalar case this is equivalent to the connection being odd up to gauge, but for higher ranks the situation is more intricate...

In this talk we will discuss recent results concerning stochastic (and deterministic) free boundary problems, particularly arising in fluid structure interaction (FSI). We will begin by considering a nonlinearly coupled FSI system perturbed by...

Conference Schedule: 9:15-10am: Welcome/light breakfast 10-11am: Isabella Novik, talk slides 11-11:30am: Coffee break 11:30am-12:30pm: Petter Brändén, talk slides 12:30-2:30pm: Lunch 2:30-3:30pm: Alexander Woo, talk slides 3:30-4pm: Coffee break 4...

The Twenty Fourth Northwest Probability Seminar is a mini-conference held at the University of Washington and organized with the support of the University of Oregon, Oregon State University, Pacific Institute for the Mathematical Sciences (PIMS)...