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:  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: Square roots of divergence form operators on L^p spaces

ABSTRACT: An abstract is available online at
http://www.ms.uky.edu/~kott/PDEseminarf13/Haller-Dintelmann.pdf

Networked Humanities: From Within and Without the University

A Digital Humanities Symposium

February 15-16, 2013

The University of Kentucky

Writing, Rhetoric, and Digital Media Program

Keynote Speakers:
Kathleen Stewart, Professor of Anthropology, University of Texas

Malcolm McCullough, Professor of Architecture, University of Michigan

Of all the topics of interest to the digital humanities, the network has received little attention among digital humanities proponents.  Yet, we live in a networked society: texts, sound, ideas, people, movements, consumerism, protest movements, politics, entertainment, academia, and other items circulate in networks that come together and break apart at various moments. While there exist networked spaces of interaction for digital humanities work – such as HASTAC or specific university centers -  we still must consider how networks affect traditional and future goals of humanities work. Have the humanities sufficiently addressed the ways their work, as networks, affect other networks, within and outside of the humanities? What might be a networked digital humanities or what is it currently if it does, indeed, exist? Can an understanding of the humanities as a series of networks affect – positively or negatively - the ways the public perceive its research, pedagogy, and mission?

The University of Kentucky’s Writing, Rhetoric, and Digital Media Program invites proposals for a two day symposium devoted to discussion of the implications of a networked digital humanities. The symposium will bring together academic and professional audiences in order to rethink the taxonomy of humanities so that we emerge with a network of people and ideas beyond the traditional taxonomy of “humanities” work. Thus, talks will not be limited to traditional humanities areas of study. 

Possible topics might include (but are not limited to):

·      Public humanities work

·      Networks among disciplines

·      Ecologies

·      Animal and human networks

·      Online spaces

·      Mapping/Geography

·      Economics and the humanities

·      Labor and the humanities

·      Digital production of texts

·      Community work

·      Workplace organization

·      The university as network

·      Archives and Obsolescence

February 15-16, 2013

Panels, roundtables, performative pieces, and alternative forms of delivery are welcome and encouraged.

No registration fee to attend or present. Please send 250 word proposals to  Jeff Rice j.rice@uky.edu  by September 1, 2012.

A talk by Kathleen Fitzpatrick, Professor of Media Studies, Ponoma College and Director of Scholarly Communication, Modern Language Association. What if the academic monograph is a dying form? If scholarly communication is to have a future, it's clear that it lies online, and yet the most significant obstacles to such a transformation are not technological, but instead social and institutional. How must the academy and the scholars that comprise it change their ways of thinking in order for digital scholarly publishing to become a viable alternative to the university press book? This talk will explore some of those changes and their implications for our lives as scholars and our work within universities.