Gauge Theory and Noncommutative Geometry

2016, April 4  —  2016, April 8
Radboud University Nijmegen
WG1, WG2, WG5
Simon Brain, Walter van Suijlekom

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:

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 ChamseddineUnification 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 VitaleThe 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 LandiLine Bundles over Noncommutative Spaces, video
16:00 – 17:00 Francesca AriciCuntz-Pimsner Algebras and Mapping Cone Exact Sequences, video

17:30 – 21:00 Conference dinner

Wednesday 6 April

09:30 – 10:30 Jens KaadMorita 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 GoffengDetecting 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 GayralFrom Equivariant Quantization to Locally Compact Quantum Groups, video

Thursday 7 April

09:30 – 10:30 Nadir BiziThe NC Standard Model: Lorentzian Signature and NC Differential Forms,      video
10:30 – 11.00 Coffee/tea break
11:00 – 12:00 Michał EcksteinHidden Causal Structure of Gauge Theories, video
12:00 – 13:30 Lunch break (3rd floor, wing 7/8)
13:30 – 14:30 Koen van den DungenThe 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 PachołHopf Algebroids, Drinfeld Twists and Quantum Space-Times, video
12:00 – 13:30 Lunch break (3rd floor, wing 7/8)
13:30 – 14:30 Tomasz BrzezińskiNoncommutative Geometry of Generalised Weyl Algebras, video