THEMATIC PROGRAMS

Activities during this period will be devoted to connections between noncommutative geometry and index theory, geometry, and mathematical physics.

Preliminary Schedule:

Monday, June 17
9:30 - 10:30	Short course: Paul Baum (Pennsylvania State University) The Dirac Operator
10:30 - 11:00	Break
11:00 - 12:00	Seminar Session: Masoud Khalkhali (University of Western Ontario) Scalar curvature and local spectral invariants in noncommutative geometry, I
2:00 - 3:00	Short course: Nigel Higson (Pennsylvania State University) Crash Course on Group C*-Algebras
3:00 - 3:30	Tea Break
3:30 - 4:30	Seminar Session: Farzad Fathizadeh (University of Western Ontario) Scalar curvature and local spectral invariants in noncommutative geometry, II
Tuesday, June 18
9:30 - 10:30	Short course: Paul Baum (Pennsylvania State University) Atiyah-Singer Revisited
10:30 - 11:00	Break
11:00 - 12:00	Seminar Session: Masoud Khalkhali (University of Western Ontario) Scalar curvature and local spectral invariants in noncommutative geometry, III
2:00 - 3:00	Short course: Nigel Higson (Pennsylvania State University) Compact Representations
3:00 - 3:30	Tea Break
3:30 - 4:30	Seminar Session: Piotr M. Hajac (Polish Academy of Sciences/Warsaw University) Tautological line bundle over the triple-pullback quantum complex projective plane
Wednesday, June 19
9:30 - 10:30	Short course: Paul Baum (Pennsylvania State University) What is K-homology?
10:30 - 11:00	Break
11:00 - 12:00	Seminar Session: Farzad Fathizadeh (University of Western Ontario) Scalar curvature and local spectral invariants in noncommutative geometry, IV
2:00 - 3:00	Short course: Nigel Higson (Pennsylvania State University) Parabolic Induction
3:00 - 3:30	Tea Break
3:30 - 4:30	Seminar Session: Andrzej Sitarz (Jagiellonian University, Kraków) Minimal operators on noncommutative tori
Thursday, June 20
9:30 - 10:30	Short course: Paul Baum (Pennsylvania State University) Beyond Ellipticity
10:30 - 11:00	Break
11:00 - 12:00	Nicolas Franco (Jagiellonian University, Kraków) Lorentzian generalization of noncommutative geometry: introducing a notion of causality
2:00 - 3:00	Short course: Nigel Higson (Pennsylvania State University) Parabolic Induction and Hilbert Modules
3:00 - 3:30	Tea Break
3:30 - 4:30	Seminar Session: Debashish Goswami (Indian Statistical Institute) Quantum Isometry Groups
4:45 - 5:15	Seminar Session: Farzad Fathizadeh (University of Western Ontario) Scalar curvature and local spectral invariants in noncommutative geometry, V
Friday, June 21
9:30 - 10:30	Short course: Paul Baum (Pennsylvania State University) The Riemann-Roch theorem
10:30 - 11:00	Break
11:00 - 12:00	Seminar Session: Ryszard Nest (University of Copenhagen) Index and determinant of n-tuples of commuting operators
2:00 - 3:00	Short course: Nigel Higson (Pennsylvania State University) Deformations of Groups and Representations
3:00 - 3:30	Tea Break
3:30 - 4:30	Seminar Session: Jonathan Rosenberg (University of Maryland) Twistings of KR theory and noncommutative geometry

Nigel Higson, Pennsylvania State University Noncommutative geometry and representation theory Lecture 1 Crash Course on Group C*-Algebras Lecture 2 Compact Representations Lecture 3 Parabolic Induction Lecture 4 Parabolic Induction and Hilbert Modules Lecture 5 Deformations of Groups and Representations

Paul Baum, Pennsylvania State University Minicourse on Index Theory Lecture Notes available here Lecture 1 The Dirac Operator Lecture 2 Atiyah-Singer Revisited Lecture 3 What is K-homology? Lecture 4 Beyond Ellipticity (Index theory for non-elliptic Fredholm differential operators) Lecture 5 The Riemann-Roch theorem