3:00 pm Thursday, July 18, 2013
Atiyah-Singer Index Theorem Seminar: The Harmonic Oscillator and Non-Compact Manifolds by
Richard Hughes in RLM 12.161
The tenth talk for the Atiyah-Singer Index Theorem seminar, following John Roe's book "Elliptic operators, topology and asymptotic methods". This talk by Richard Hughes will be on the functional calculus and heat kernel for the harmonic oscillator operator. Following this (time permitting), a geometric construction of Witten this gives rise to similar operators will be described, and some of the general theory for the functional calculus of Dirac operators on non compact manifolds will be discussed. It will roughly follow the ninth chapter of the book. Submitted by
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