Dept Banner
Dept Banner

Calendar

Download as iCal file

Mathematical Physics Seminar

A localization result for Dirac operators

Manousos Maridakis: Rutgers University

Location:  Hill 705
Date & time: Thursday, 16 February 2017 at 12:00PM - 12:11PM

The symbol map of a Fredholm Operator is carrying essential topological and geometrical information about the underline manifold. In this talk we study Dirac type operators involving a perturbation term. In particular we think of operators of the form \[{cal D} + s{cal A} :Gamma(E)ightarrow Gamma(F)\] over a Riemannian manifold \[(X, g)\] for special bundle maps \[{cal A} : Eightarrow F\] and study their behavior as \[sightarrow infty\]. There are two main aspects of localization being examined: First is the separation of the spectrum of this family of operators into low and high eigenvalues for large \[s\]. Second is the observation that eigenvectors corresponding to low eigenvalues \[L^2\] concentrate near the singular set of the perturbation bundle map \[{cal A}\]. This gives a new localization formula for the index of \[D\] in terms of the singular set of \[{cal A}\].

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530