**Gauge theory** is an established and fertile scientific principle with a broad spectrum of

important applications throughout mathematics and theoretical physics. On the other

hand, **noncommutative geometry** is a comparatively young yet equally exciting field

of mathematics: it has already found a fascinating collection of applications in areas as

diverse as particle physics, algebraic geometry, quantum field theory and number theory.

The** interaction between gauge theory and noncommutative geometry** is one of the

most promising new areas of research in modern mathematical physics and is the * topic of this workshop*. Its purpose is to bring together an elite collection of mathematicians

and physicists whose research is centred upon the various approaches to gauge theory on

noncommutative manifolds, including their physical applications. The main focus will be

to provide an intimate and productive atmosphere in which leading experts will be able

to discuss cutting edge topics and new directions of research in the field.

Besides the five days of lectures, seminar talks, and discussion sessions, there will also be a** public evening lecture** on **Monday April 4 **that will be delivered by French mathematician and Field’s medaillist Alain Connes (IHÉS/Collège de France).

**Organizing Committee**:

- Simon Brain, Radboud University Nijmegen
- Klaas Landsman, Radboud University Nijmegen
- Walter van Suijlekom, Radboud University Nijmegen

# Program and videos

All talks will take place in the Huygens building (HG00.303) of Radboud University Nijmegen. A list of abstracts can be found here. Click on the links below to access the speakers’ pdf slides and video recordings of their presentations.

**Monday 4 April**

09:00 – 9:30 Registration and coffee/tea

09:30 – 10:30 José Gracia-Bondía: *Light-like String Localized Quantum Fields*, video

10:30 – 11.00 Coffee/tea break

11:00 – 12:00 Latham Boyle: *The Standard Model as a Differential Graded Super-Algebra*, video

12:00 – 13:30 Lunch break (3rd floor, wing 7/8)

13:30 – 14:30 Fedele Lizzi: *Wick Rotation, Fermion Doubling and Lorentz Symmetry for the *

* Spectral Action*, video

14:30 – 15:00 Coffee/tea break

15:00 – 16:00 Mairi Sakellariadou: *Spectral Action and Cosmology*, video

16:00 – 17:00 Ali Chamseddine: *Unification of Gravity and Gauge Interactions*, video

17:00 – 18:00 Drinks, refreshments and piano music (by Olga Pashchenko)

18:00 – 19:00 **Public lecture by Alain Connes** (HG00.307): *Geometry and the Quantum*, video

19:00 – 19:30 Further drinks, refreshments and piano music (by Olga Pashchenko)

(Pictures of the public event can be found here)

**Tuesday 5 April**

09:30 – 10:30 Shane Farnsworth: *The Underlying Algebraic Structure Behind the Standard Model of Particle Physics*, video

10:30 – 11.00 Coffee/tea break

11:00 – 12:00 Patrizia Vitale: *The Gribov Problem in Noncommutative QED*, video

12:00 – 13:30 Lunch break (3rd floor, wing 7/8)

13:30 – 14:30 Thierry Masson: *Generalized Connections and Higgs Fields on Lie Algebroids*, video

14:30 – 15:00 Coffee/tea break

15:00 – 16:00 Giovanni Landi: *Line Bundles over Noncommutative Spaces*, video

16:00 – 17:00 Francesca Arici: *Cuntz-Pimsner Algebras and Mapping Cone Exact Sequences*, video

17:30 – 21:00 Conference dinner

**Wednesday 6 April**

09:30 – 10:30 Jens Kaad: *Morita Equivalences of Spectral Triples*, video

10:30 – 11.00 Coffee/tea break

11:00 – 12:00 Bram Mesland: *Hecke Operators and K-Homology of Arithmetic Groups*, video

12:00 – 13:30 Lunch break (3rd floor, wing 7/8)

13:30 – 14:30 Magnus Goffeng: *Detecting Regularity Using Cyclic Cocycles and Singular Traces*, video

14:30 – 15:00 Coffee/tea break

15:00 – 16:00 Peter Hochs: *A Fixed Point Theorem on Non-Compact Manifolds*, video

16:00 – 17:00 Victor Gayral: *From Equivariant Quantization to Locally Compact Quantum Groups*, video

**Thursday 7 April**

09:30 – 10:30 Nadir Bizi: *The NC Standard Model: Lorentzian Signature and NC Differential Forms*, video

10:30 – 11.00 Coffee/tea break

11:00 – 12:00 Michał Eckstein: *Hidden Causal Structure of Gauge Theories*, video

12:00 – 13:30 Lunch break (3rd floor, wing 7/8)

13:30 – 14:30 Koen van den Dungen: *The Fermionic Action*, video

14:30 – 15:00 Coffee/tea break

15:00 – 16:00 Farzad Fathizadeh: *Modular Forms in the Spectral Action of Bianchi-IX
Gravitational Instantons*, video

16:00 – 17:00 John Barrett:

*The Noncommutative Geometry of Defects*, video

**Friday 8 April**

09:30 – 10:30 Francesco D’Andrea: *The Standard Model in Noncommutative Geometry: Fermions as Internal Dirac Spinors?* video

10:30 – 11.00 Coffee/tea break

11:00 – 12:00 Anna Pachoł: *Hopf Algebroids, Drinfeld Twists and Quantum Space-Times*, video

12:00 – 13:30 Lunch break (3rd floor, wing 7/8)

13:30 – 14:30 Tomasz Brzeziński: *Noncommutative Geometry of Generalised Weyl Algebras*, video