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:
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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)
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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)
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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)