Number Theory Seminar
主講者: 李俊捷 教授 (香港中文大學)
講題: Spectral side, geometric side and trace formula
時間: 2008-07-28 (Mon.)  14:00-15:00
Abstract: In representation theory, trace formulas are used to calculate the traces of certain linear operators. The formulas relate geometric side and spectral side. In mathematics and physics, analog of the concepts of geometric side vs spectral side appears quite often. In quantum mechanics, we have particles vs waves. In the theory of the Riemann zeta function we have primes vs zeros. In differential geometry, we have geodesics vs eigenvalue of Laplacians. In the talk, we will discuss these phenomena and give a basic introduction to trace formula.
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