# Day-by-Day Lecture Notes

**Monday, June 20**

**Lectures**

- Lecture I: Global Harmonic Analysis
- Lecture II: Phenomenology of Eigenfunctions
- The Trace Formula and the Husimi Functions of Eigenfunctions

(Alejandro Uribe)

**Tutorials**

- Wave Front Set, Homogeneous Distributions

(Tanya Christiansen, Notes by Peter Perry) - A Crash Course in Pseudodifferential Operators

(Jared Wunsch)

**Tuesday June 21**

**Lectures**

- Lecture III: Lower bounds on hypersurface area of nodal sets

(Joint with C. Sogge) - Lecture IV: Eigenfunctions and Nodal Sets (Real and Complex)

(Based on joint work with B. Shiffman, C. Sogge, and J. Toth) - Resonances, Trace Formulas, and Lower Bounds for the Counting Function of Resonances

by Tanya Christiansen

**Tutorials**

- Tutorial III: (Hamid Hezari) The Method of Stationary Phase
- Tutorial IV (Alejandro Uribe) An Outline of a Crash Course on Fourier Integral Operators

**Wednesday, June 22**

- Lecture V: Hadamard-Riesz Parametrices for Wave Kernels
- Lecture VI: Quantum Ergodicity
- The Parade of Breeds

**Thursday, June 23**

- Lecture VII: Quantum Ergodic Restriction Theorems (with J. Toth)
- Lecture VIII: Quantum Integrable Systems
- Spreading of Quasimodes in Integrable Systems by Jared Wunsch
- Integrable Systems, KAM, and Spectral Theory (Peter Topalov)- unedited! Let the reader beware
- Group Photo

**Friday, June 24**

- Lecture IX: L
^{p}Norms of Eigenfunctions (with C. Sogge and J. Toth) - Lecture X: Random Waves
- On the Dispersive Properties of Eigenfunctions by Chris Sogge