Title:  Smoothness of isometries between subRiemannian manifolds

Abstract:  In a joint work with Enrico Le Donne (Jyvaskyla, Finland), we show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular subRiemannian manifold is a finite-dimensional Lie group of smooth transformations. The proof is based on a new PDE argument, in the spirit of harmonic coordinates, establishing that in an arbitrary subRiemannian manifold there exists an open dense subset where all isometries are smooth.

Title:  Higher-order analogues of the exterior derivative complex

Abstract:  I will discuss some earlier joint work with E. M. Stein concerning div-curl type inequalities for the exterior derivative operator and its adjoint in Euclidean space R^n. I will then present various higher-order generalizations of the notion of exterior derivative, and discuss some recent div-curl type estimates for such operators. Part of this work is joint with A. Raich.

Title:  On a thermodynamically consisted Stefan problem with variable surface energy

Abstract:  Given a filtration of a simplicial complex we can construct a series of invariants called the persistent homology groups of the filtration. In this talk we will give a basic introduction to the theory of persistence and explain how these ideas can be used in data analysis.

Register at: http://craftwriting.as.uky.edu

This one day event will bring to UK brewers and professional writers from the craft beer industry. Craft beer, the annual production of under six million barrels of beer by small breweries, is one of the fastest growing areas of the food industry. According to the Brewers Association, craft beer provides over 108,000 jobs and its retail dollar value in 2012 was estimated at $10.2 billion. In the last twenty years, over 2,000 new breweries have come online, commanding almost 6% of the overall American beer market. These breweries have, in turn, helped revitalize city neighborhoods, generated new jobs in related industries, and played a key role in expanding digital and social media usage.

This event will showcase the professional writing – in print and digital media – that is dominant in the craft beer industry. Writing has played a major role in promoting the business of craft beer. Craft Writing will serve as an event that draws interdisciplinary attention to the ways industry utilizes writing – in various digital forms – to promote, inform, highlight, argue, market, brand, and foster relationships between products, consumers, and other relevant parties.

Featured Speakers:

Stan Hieronymus, author of For The Love of Hops, Brewing with Wheat, and Brew Like a Monk. Blogger at Appellation Beer and For the Love of Hops.

Julie Johnson, Co-owner of All About Beer, former Editor of All Bout Beer. Currently Technical and Contributing Editor.

Teri Fahrendorf, 25-year beer industry veteran, founder of the Pink Boots Society, author of beer related articles, 19 years brewmaster at Steelhead Brewing, Triple Rock Brewing and Golden Gate Brewing, and blogging gypsy “Road Brewer,”

Roger Baylor, owner of New Albanian Brewing, author of The Potable Curmudgeon.

Jeremy Cowan, owner of Shmaltz Brewing, author of Craft Beer Bar Mitzvah.

Mitch Steele, Brewmaster at Stone Brewing, author of IPA: Brewing Techniques, Recipes, and the Evolution of India Pale Ale.

Keynote speaker

Garrett Oliver, Editor of The Oxford Companion to Beer, author of The Brewmaster’s Table, regular contributor to All About Beer. Brewmaster at Brooklyn Brewery

Title:  Universal wave patterns

Abstract:  A feature of solutions of a (generally nonlinear) field
theory can be called "universal" if it is independent of side conditions like initial data. I will explain this phenomenon in some detail and then illustrate it in the context of the sine-Gordon equation, a fundamental relativistic nonlinear wave equation. In particular I will describe some recent results (joint work with R. Buckingham) concerning a universal wave pattern that appears for all initial data that crosses the separatrix in the phase portrait of the simple pendulum.  The pattern is fantastically complex and beautiful to look at but not hard to describe in terms of elementary solutions of the sine-Gordon equation and the collection of rational solutions of the famous inhomogeneous Painlev\'e-II equation.

Title:  Automating and Stabilizing the Discrete Empirical Interpolation Method for Nonlinear Model Reduction

Abstract:  The Discrete Empirical Interpolation Method (DEIM) is a technique for model reduction of nonlinear dynamical systems.  It is based upon a modification to proper orthogonal decomposition which is designed to reduce the computational complexity for evaluating reduced order nonlinear terms.  The DEIM approach is based upon an interpolatory projection and only requires evaluation of a few selected components of the original nonlinear term.  Thus, implementation of the reduced order nonlinear term requires a new code to be derived from the original code for evaluating the nonlinearity.  I will describe a methodology for automatically deriving a code for the reduced order nonlinearity directly from the original nonlinear code.  Although DEIM has been effective on some very difficult problems, it can under certain conditions introduce instabilities in the reduced model.  I will present a problem that has proved helpful in developing a method for stabilizing DEIM reduced models.

Title:  Absolutely continuous representing measures for R(X) 

Abstract:  An abstract is available online at http://www.ms.uky.edu/~kott/PDEseminarf13/Brennan.pdf