Teaching

Fall Semester 2023 (current)

PDE methods in condensed matter physics - Fr 14:15-16:00

Lectures notes by Z. Tao and M. Zworski

https://math.berkeley.edu/~zworski/Notes_279.pdf

Syllabus:

Lecture 1: Unbounded operators, Self-adjointness, Kato-Rellich theorem

Lecture 2: Spectral theory, Stability of essential spectra, Agmon distances, Potential well

Operator Algebras and Quantum Info Theory - Fr 10:15-12:00

Book number 1

https://link.springer.com/book/10.1007/b128449

Book number 2

https://link.springer.com/book/10.1007/b128451

List of talks:

• Background on Operator Algebras (Book 1 Chapter by Stephane Attal)

  22.9.2023 C*-Algebras: (Taken)

  29.9.2023 C*-Algebras: (Taken)

  6.10.2023 C*-Algebras: (Taken)

  13.10.2023 W*-Algebras: (Taken)

  20.10.2023 Predual, normal states and Modular operators: Sec. 3.3 + Sec. 4.1 (Yanik Wettstein + Romain Therezien)

  27.10.2023 Modular group, self-dual cone: Sec. 4.2 + Sec. 4.3 (Julia Burnello + Daniele Valerio)

• Background Quantum Markov processes (Book 2 Chapter by Rolando Rebolledo)

  3.11.2023 CP maps: Sec.1.2 + Sec.2 (Dominique Garmier + Derk Steffens)

  10.11.2023 CB maps: Sec.3 + Sec.4 (Thomas Frauchiger + Gabriele Cassese)

  17.11.2023 QDS: Sec. 5 (Jossi Schuett)

• Background Ergodic Theory & Dynamical systems (Book 1 Chapter by Claude-Alain Pillet)

  24.11.2023 Classical Ergodic Theory: Sec. 3 (Bror Hultberg + Luisa Meinecke)

  1.12.2023 C+W Dynamical systems: Sec. 4.1+4.2 (Luca Giudici + Gaia Torresani)

  8.12.2023 Invariant states + Quantum dynamical systems: Sec. 4.3 + 4.4 (Gabriel Dettling + Anna Heck)

  15.12.2023 Ergodic properties of QDS Sec. 4.5 + 4.6 (David Urech + Andrea Piccirilli)

  22.12.2023 KMS states Sec. 5 (Ludovic Marsland + Hannah Rotzoll)