University of Washington

Let A be an abelian variety of dimension g over a number field K. The Sato-Tate group ST(A) is a compact subgroup of the unitary symplectic group USp(2g) that can be defined in terms of the l-adic Galois representation associated to A. Under the...

A symplectic structure is a kind of geometric structure that can be put on an even dimensional space. It generalizes the notion of an area form in two dimensions in such a way that many of the special dynamical features of area preserving geometry...

Derivative free optimization (DFO) is the field that addresses optimization of black-box functions – that is functions whose value can be computed (possibly approximately) but whose derivatives cannot be approximated directly. The applications of DFO...

I will begin with the familiar Farey sequences: the subdivisions of the real line obtained by recursively taking the mediant (a+c)/(b+d) of fractions a/b and c/d. I will take this starting point as an excuse for an ecclectic tour which may include...

A conjecture of Read predicts that the coefficients of the chromatic polynomial of a graph form a log-concave sequence for any graph. A related conjecture of Welsh predicts that the number of linearly independent subsets of varying sizes form a log...

I will present three new results: (i) the Cramer transform of the uniform measure on a convex body is a universal self-concordant barrier; (ii) projected gradient descent with Gaussian noise allows to sample from a log-concave measure in polynomial...

The 57th Cascade Topology Seminar will take place at Seattle University. The titles and abstracts for this event are: Ryan Derby-Talbot: Computing Heegaard genus is NP-Hard One of the most basic measures of the complexity of a 3-manifold is its...

We will begin by giving an elementary introduction to the GL(2,R) action on the Hodge bundle (sometimes called Teichmuller dynamics), after which we will give a survey of some of new developments in this field. This will include restrictions on the...