Organisers
Marcel de Jeu (mdejeu@math.leidenuniv.nl)
Bram Mesland (b.mesland@math.leidenuniv.nl)
Jan Harm van der Walt (janharm.vanderwalt@up.ac.za)
Contact
If you are interested, please contact Marcel de Jeu, Bram Mesland, or Jan Harm van der Walt.
Intended for
Students, PhD students, and faculty.
Prerequisites
Proficiency in the functional analytic language at the level corresponding to a solid `pass' for the national functional analysis course in the Mastermath programme. An introductory course in functional analysis is not sufficient.
Literature
Vern Paulsen: Completely bounded maps and operator algebras. Cambridge Studies in Advanced Mathematics, 78. Cambridge University Press, Cambridge, 2002. ISBN: 0-521-81669-6.
Lecture 1: 1 October 2021, 16.15-18.00, Snellius room 401: Bram Mesland
Chapter 1: Introduction.
Pictures of the blackboards are herec
Lecture 2: 8 October 2021, 15.15-17.00, Gorlaeus Lecture Hall room C7: Chun Ding
Chapter 2: Positive maps.
Notes are here.
Lecture 3: 15 October 2021, 15.00-17.00, Gorlaeus Lecture Hall room C7: Jack Ekenstamm
Chapter 3: Completely positive maps.
Pictures of the blackboards are here; notes are here.
Lecture 4: 22 October 2021, 15.00-17.00, Gorlaeus Lecture Hall room C7: Yufan Ge
Chapter 4: Dilation theorems.
Pictures of the blackboards are here.
Lecture 5: 5 November 2021, 15.00-17.00, Gorlaeus Lecture Hall room C7: Jesse Reimann
Chapter 5: Commuting contractions on Hilbert space.
Pictures of the blackboards are here; notes are here.
Lecture 6: 12 November 2021, 15.00-17.00, Gorlaeus Lecture Hall room C7: Mick Gielen
Chapter 6: Completely positive maps into M_n.
Pictures of the blackboards are here; notes are here.
Lecture 7: 19 November 2021, 15.00-17.00, Gorlaeus Lecture Hall room C7: Rui Dong
Chapter 7: Arveson's extension theorems.
Pictures of the blackboards are here.
Lecture 8: 26 November 2021, 15.00-17.00, Gorlaeus Lecture Hall room C7: Yuezhao Li
Chapter 8: Completely bounded maps.
Pictures of the blackboards are here; the handout is here.
Lecture 9: 3 December 2021, 15.00-17.00, Gorlaeus Lecture Hall room C7: Matthijs Vernooij
Chapter 9: Completely bounded homomorphisms.
Pictures of the blackboards are here.
Lecture 10:17 December 2021, 15.00-17.00, Gorlaeus Lecture Hall room C7: Onno van Gaans
Chapter 10: Polynomially bounded and power-bounded operators.
Pictures of the blackboards are here.
Lecture 11: 21 January 2022, 15.00-17.00, Snellius room 401: Malte Leimbach
Chapter 12: Tensor products and joint spectral sets.
Pictures of the blackboards are here.
Lecture 12: 28 January 2022, 15.00-17.00, Snellius room 312: Miek Messerschmidt
Chapter 13: Abstract characterizations of operator systems and operator spaces.
Pictures of the blackboards are here.