University of Washington

Otto calculus is a fundamental toolbox in mathematical optimal transport, imparting the Wasserstein space of probability measures with a Riemmanian structure. In particular, one can compute the Riemannian gradient of a functional over this space and...

A group is just a set together with a multiplication with certain properties, and these are ubiquitous in modern mathematics. In homotopy theory, we often see less-rigid objects, with many of the properties like associativity or commutativity only...

There are several notions that are used to characterize algebraic varieties in terms of their similarity to a projective space. Two of these notions are rationality and unirationality. The problem of determining whether a variety is rational or...

Residue calculus is, of course, a very powerful way to evaluate many different kinds of integrals. For multivariate integrals, however, it may get really cumbersome, to the point that one sometimes gets stuck in purely combinatorial complexity. I...

The space of homomorphisms from the fundamental group of a compact surface to a Lie group is a remarkably rich and versatile object, playing a key role in mathematical developments spanning disciplines of algebra, analysis, geometry, and mathematical...

Remarkable recent successes of deep learning have heavily relied on very large neural networks. Time and time again, larger networks have shown better performance than smaller networks trained on comparably sized data sets. Since large networks...

Over the last two decades we have developed good understanding of how to quantify the impact of strategic user behavior on outcomes in many games (including traffic routing and online auctions) and showed that the resulting bounds extend to repeated...

Please see the official event page for further information: http://www.math.washington.edu/mac/

The North American Pacific region is a center of strength in the growing field of computational neuroscience. In this inherently interdisciplinary field -- practiced by mathematicians, computer scientists and engineers as well as neuroscientists ---...

The workshop will consist of several minicourses addressing a broad range of theoretical and practical issues arising in seismic imaging including the use of curvelets and other frames in seismic imaging, compressed sensing applied to seismic imaging...