Koç University, Mathematics Seminar

Date & Time: Thursday, March 26, 16:00-17:00

Place: CASE-133

Speaker: O. Teoman Turgut (Boğaziçi University)

Title:  Spectral geometry and its applications

Abstract: There is a large amount of work on the interplay between the spectrum of the Laplacian and geometric data of a Riemannian manifold. An especially powerful tool in this direction is the use of heat kernels.  We will review some results related to heat kernels and their estimates. The same tools have some interesting applications for singular Schrödinger operators with potentials supported on points, curves and surfaces being embedded in Riemmanian manifolds. We will briefly touch upon their implications on some nonlinear problems inspired from many-body physics.

Note: This is an introductory talk aiming at introducing the subject and the relevant problems for the nonexpert.

About the Speaker: Prof. Dr. Osman Teoman Turgut is a mathematical physicist working on the mathematical aspects of quantum field theory with a particular emphasis on the differential geometric and functional analytic techniques. He received his BS degrees in electrical engineering and physics from Boğaziçi University in 1990, and his Ph.D. in physics from University of Rochester in 1996. He held postdoctoral research positions at IHES (1997-1998), Cambridge University (1998-1999), and Mittag-Leffler Institute (1998-1999 and 2001-2002). He is the recipient of various science awards including the Sedat Simavi Award (2000), TÜBA-GEBİP Award (2002), and TÜBİTAK Encouragement Award (2003).