Please, join in the fun at the Lexington Old-Time Music Gathering in Lexington, KY!  This event spans February 12, 2015 through February 15, 2015 and has something for everyone.  This is an opportunity for community engagement, learning about traditional mountain music, and hearing artists perform.  During the Saturday, 2/14/15 event, there will be fun for all ages at the Appalachian Youth Day portion of the event from 12 p.m. to 5 p.m.  Admission for the Youth Day is free, and there will be workshops, open mic, jam sessions, singing, and dances!  (Please note that a parent must accompany children at all times.)  Please, see the Lexington Old-Time Music Gathering website for detailed information, including a full schedule of performers and events: http://lexoldtime.com/.

The National Conference on Undergraduate Research is an annual student conference dedicated to promoting undergraduate research, scholarship, and creative activity in all fields of study. Unlike meetings of academic professional organizations, this gathering of young scholars welcomes presenters from institutions of higher learning from all corners of the academic curriculum. This annual conference creates a unique environment for the celebration and promotion of undergraduate student achievement, provides models of exemplary research and scholarship, and helps to improve the state of undergraduate education.

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Title:  Sub-Exponential Decay Estimates on Trace Norms of Localized Functions of Schrodinger Operators

Abstract:  In 1973, Combes and Thomas discovered a general technique for showing exponential decay of eigenfunctions. The technique involved proving the exponential decay of the resolvent of the Schrodinger operator localized between two distant regions. Since then, the technique has been applied to several types of Schrodinger operators. Recent work has also shown the Combes–Thomas method works well with trace class and Hilbert–Schmidt type operators. In this talk, we build on those results by applying the Combes–Thomas method in the trace, Hilbert–Schmidt, and other trace-type norms to prove sub-exponential decay estimates on functions of Schrodinger operators localized between two distant regions.