Abstract: "Linguists have been teaching the general public for several decades now that traditional conceptions of "bad" versus "good" grammar are not based on scientific argumentation, but certain fashions laid down by assorted thinkers mostly in the eighteenth century. However, the public remains convinced that most speakers of English go about speaking it "wrong." In this talk, I try to present the linguist's perspective in a new way, showing that while all people must learn standard grammar for public purposes, nonstandard grammar is distinct, but not logically mistaken."

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.