Last Thursday the last lecture series of Alain Connes at Collège de France has started. It will treat two topics, entitled:
There was an overwhelming interest for the first lecture, which has also been recorded and can be viewed here.
A postdoctoral position in quantum gravity and quantum geometry will be available at the Institute for Mathematics, Astrophysics and Particle Physics (IMAPP) of the Radboud University, starting in autumn of 2017. The successful applicant will become part of the research program “Quantum gravity and the search for quantum spacetime”, a collaboration of high-energy theorists and mathematical physicists, sponsored by the Dutch Foundation for Fundamental Research on Matter (FOM).
Applicants should have a background in quantum gravity or related areas, and an active interest in contributing to the consortium’s research in nonperturbative quantum gravity, which focuses on causal dynamical triangulations, renormalization group methods and noncommutative geometry. The appointment will be for two years. The deadline for applications is December 15, 2016. See http://www.hef.ru.nl/~rloll/Web/jobs/jobs.html for more information and how to apply.
Alan Carey (Canberra, Australia) 
Steve Rosenberg (Boston, MA, USA)
Walter van Suijlekom (Nijmegen, The Netherlands)
This is a school and workshop on new developments in Kasparov theory (also referred to as KK-theory) motivated by applications to gauge theory and topological phases of matter.
The school is intended for PhD-students and postdocs working on KK-theory and/or its applications to physics. This includes young scientists who work on gauge theory or on topological phases with a strong mathematical background, and who want to learn the novel approach to these fields that KK-theory has in stock. Moreover, it is an opportunity for more senior people who are in related fields and want to learn KK-theory.
The workshop is intended for scientists working in the field and also in topological phases of matter, and particularly for the participants of the preceding school. It will attract leading experts from all parts of the world, but will also function as a platform for talented young scientists.
The Faculty of Science FNWI of the Radboud University has made two job openings possible in the Christine Mohrmann Programme.
See
http://www.ru.nl/werken/details/details_vacature_0/?recid=585980
for details.
In particular, this programme is open to women mathematicians and physicists.
The aim of the workshop is to bring together people working on noncommutative geometry, deformation theory and related fields, to promote new collaborations and interaction between senior scientists and students/junior researchers, and give to young mathematicians some perspectives on who is doing what in this field.The conference will take place in the mathematics department of the University of Perugia, located in Via Luigi Vanvitelli 1, Perugia.
The scientific activities of the conference will start at 2:30 PM on Monday 25 July and finish at 12:30 AM on Friday 29. To register, please send an email with your name and affiliation to Nicola Ciccoli (no registration fee is required).
Organizing committee:
Scientific committee:
Speakers include:
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This international CIMPA * Research School will be held at ICISE ** hosted by the Rencontres du Vietnam ***
Noncommutative Geometry (NCG) is a vivid research subject in Mathematics and Physics. The main goal of this school is to train local researchers and students in these topics and to establish strong research collaborations with colleagues, students and researchers. Leading experts in NCG will give an overview of the main well-established results, the essential tools, and some of the present active research activities:
Topic: Index theory is a prime example of fruitful interaction between analysis, geometry, topology and operator algebras.
The index is associated to a global differential operator and is computed from the set of solutions of the associated differential equation. It turns out, however, that the index has remarkable stability properties and can often be computed a priori without solving the differential equation. This uses index theorems and the underlying topology. On the other hand, the most interesting operators are tied to the geometry and the geometry determines the set of solutions. The most powerful implementations of this idea that the relevant operators lie in operator algebras which are specific to the situation at hand. The indices are then naturally defined as elements in K-theory groups of these operator algebras.
It turns out that a particularly useful setup uses the ideas of “coarse geometry”. The basic idea is to study (non-compact) metric spaces; but considering only their large scale features. A lot of this can be captured in appropriately associated C*-algebras; the coarse C*-algebras of the space (often called Roe algebra). This tool also applies to compact spaces, by passing first to their universal covering.
The corresponding manifestation of index theory in this context is “coarse index theory” or “large scale index theory” and has many interesting properties and applications.
The summer school will explain the relevant general background in index theory, operator algebras; and then focus on large scale geometry and index theory and its numerous applications.
Program: There will be lecture series by
along with daily exercise and discussion sessions in the afternoon.
Schedule: Preliminary schedule
Funding: As a general rule, you are supposed to arrive with your own funding but there are also some limited funds available.
Contact: Please send an informal email to enroll until September 1, 2016, latest, to Mrs. Ursula Wöske, coarse16@math.uni-freiburg.de
Organizer: Nadine Große
Speakers: John Roe, Thomas Schick, Rudolf Zeidler
Poster: Poster Summer School 2016
Noncommutative Geometry is a growing and active field whose roots and branches intertwine with various areas of mathematics and physics. The school and conference on Noncommutative Geometry, Noncommutative Geometry 2016, aims at introducing advanced students and young researchers to various results and techniques from noncommutative geometry giving special attention to those which play a key role in applications. The lectures will focus on some of the main themes lying at the core of the current developments of the theory while the mini courses will provide both background and context for those themes.
Walter van Suijlekom (Radboud University Nijmegen)
Noncommutative geometry and particle physics
Farzad Fathizadeh (California Institute of Technology)
Heat kernel methods and local geometric invariants of noncommutative spaces
Özgür Ceyhan (University of Luxembourg)
Feynman integrals, associated arrangements and their motives
Gunther Cornelissen (Utrecht University)
Zeta functions in number theory and differential geometry in the light of noncommutative geometry
Bram Mesland (Leibniz Universität Hannover)
A categorical approach to spectral triples and KK-theory
Carolina Neira (Universidad Nacional de Colombia)
Hochschild cohomology and residues
Mario Velásquez (Pontificia Universidad Javeriana)
Elements of K-theory
Andrés Reyes (Universidad de los Andes)
Basics of quantum field theory
Leonardo Cano (Universidad Sergio Arboleda)
Characteristic classes
Andrés Vargas (Pontificia Universidad Javeriana)
Spin manifolds and Dirac operators
Alexander Cardona (Universidad de los Andes)
Index theorems
Scientific committee:
Matilde Marcolli (California Institute of Technology)
Özgür Ceyhan (University of Luxembourg)
Organising committee:
Jorge Plazas (Pontificia Universidad Javeriana)
Mario Velásquez (Pontificia Universidad Javeriana)
Fernando Novoa (Pontificia Universidad Javeriana)
Diana Guevara (Pontificia Universidad Javeriana)
Mathematical physicist Walter van Suijlekom uses noncommutative geometry to explore the laws of physics. Read more on http://www.ru.nl/research/mathematics (animation by Bruno van Wayenburg)