University of Washington

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...

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...

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...

The Pacific Northwest Geometry Seminar (PNGS) is a regional meeting for geometers of all kinds. It is held every fall and spring, and every other winter, rotating among the following participating institutions: Oregon State University Portland State...

Nonabelian multiplicative integration on curves is a classical theory, going back to Volterra in the 19th century. In differential geometry this operation can be interpreted as the holonomy of a connection along a curve. In probability theory this is...

Igusa class polynomials are the genus 2 analogue of Hilbert class polynomials; their roots are invariants of genus 2 curves that have complex multiplication by a fixed order. The coefficients of Igusa class polynomials are rational, but, unlike in...

The ABC Conjecture, formulated in the mid-1980's by Oesterlé and Masser, is one of the most important conjectures in number theory. It has many deep consequences, but its basic formulation can be given in entirely elementary terms. In September 2012...

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...