EVENT DETAILS AND ABSTRACT

Title: Semiclassical concentration and eigenvalue branches
Speaker: Luc Hillairet
Speaker Info: Nantes
Brief Description:
Special Note: Note unusual day, time.
Abstract:

Consider a real-analytic family of operators $A_t$ that becomes singular when $t$ goes to $0$. We will exhibit relations between concentration of eigenfunctions of the associated semiclassical operator $A_{h_n}$ and the asymptotic behavior of eigenbranches. We will show on different examples how these ideas apply to improve generically on existing spectral results.