The School will officially start on Monday morning, September 14, and will
end on Friday afternoon, September 18.
The program will consist of invited lectures, talks,
as well as sessions devoted to student presentations.
The tentative program of the school is available here.
Lecturers of the school and their lectures:
- R. Jackiw (MIT Center for Theoretical Physics, USA):
Appreciation of the role of topology in physics led to a vigorous collaboration between the two
How topology saved the standard model (public colloquium)
Abstract: In the sixties a few bits of topology fell on the physicists
plate. Although viewed at first as a bothersome annoyance, it turned out to
be a crucial ingredient, without which the standard model could not
- S. Bellucci (INFN - Laboratory Nazionali di Frascati, Italy):
Graphene materials for electronic and electromagnetic applications (2 lectures)
Abstract: Among their remarkable properties, graphene and graphene-related materials constitute an effective vehicle
for the realization of new electronic devices operating at different frequencies. We will overview in lecture 1 the
Synthesis and Electrical Characterization of few-layered Graphene along with some recently developed applications,
- Theoretical and Experimental Characterization of a Graphene-Based Broadband Microwave Attenuator
- Bottom-up Realization and Temperature-Dependent Electrical Characterization of a Green, Low-Cost Graphene-Based Device
- Electromagnetic Characterization of Graphene and Graphene Nanoribbons via ab-Initio Permittivity Simulations.
Lecture 2 will be focused on the description of Composite and Multilayered Graphene-Based Materials for Electromagnetic Compatibility.
- A. Iorio (Charles University, Prague, Czech Republic):
Graphene and its use to reach the unreachable (2 lectures)
Abstract: We shall give an overview of the possible uses of graphene as a
tool to probe ideas about the fundamental properties of Nature. These
research lines are at different stages of development: some are one step
away from experiments, some are work in progress, some are still only
- A. Marzuoli (Pavia University, Italy):
BF theories and graphene
Abstract: Non-Abelian Topological Quantum Field Theories (TQFT) of
the BF-type are shown to be particularly suitable to model
the monolayer graphene effective action. The original proposal
(cf. A Marzuoli, G Palumbo, EPL 99 (2012) 1002) was motivated
on the basis of the 'universality' of this theoretical background
with respect to basic requirements of topological -or
anyonic- quantum computing. Here I am goin to highlight
the potentiality of 3D BF theory emerging from its
discretized counterpart, the family of the so-called Turaev
and Viro 'state sum models'.
Colored discretizations of Topological Quantum Field Theories (Talks 2, 3, 4)
Abstract: Aim of this series of lectures is to present a few basic
features of the branch of geometric topology that deals with
colored quantum invariants of knots and 3-manifolds. In particular,
3-manifolds can be presented as colored triangulations, the coloring
being associated to the representation ring of SU(2,q) for
a deformation parameter q equal to a complex root of unity.
For a closed 3-manifold the resulting (Turaev-Viro) invariant
is the square of the Reshetikhin-Turaev invariant, which in
turn represents the Chern-Simon-Witten generating functional
obtained within the field-theoretic path integral prescription.
State sums for colored trivalent graphs (and their specialization
to knots or links embedded in a 3-manifold) are associated to
Wilson-line/loop expectation values of observables in standard
TQFTs (the Jones polynomial of knots and its generalizations).
- J. Pachos (University of Leeds, UK):
1. An introduction to knots, anyons, quantum computation, topological order
2. The toric code and error correcting codes (slides)
Majorana fermions and quantum evolutions (blackboard, 2 lectures)
Topological entanglement entropy, errors and outlook (slides)
- F. Peeters (University of Antwerp, Belgium):
Graphene and beyond (4 lectures)
1. Electronic structure. Nanoengineering of graphene
2. Mechanical properties and strain-engineering of graphene
3. Functionalization of graphene
4. Other two-dimensional atomic layers, e.g. transition metal
- J. Zanelli (CECs Valdivia, Chile):
Chern-Simons Supersymmetry (2 lectures)
Abstract: Chern-Simons (CS) field theories are the simplest gauge systems
that can be defined in every odd dimension and for (almost) any gauge
symmetry: given the gauge group G and the spacetime dimension D the CS
action is uniquely defined. Not even the spacetime metric is required, but
if the gauge group is SO(D-1,2), SO(D,1) or ISO(D-1,1) --that is,
D-dimensional AdS, dS or Poincare'--, the CS action describes gravity and
therefore the spacetime geometry emerges from the theory (provided the
topology is simple enough).
Supersymmetry, on the other hand, is an assumption that seems to be at odds
with the Standard Model, although a good part of the theoretical physics
community believe in it nonetheless. We will see how, with the help of some
insight from CS and a minimum of assumptions, a supersymmetric model can be
constructed that can reasonably describe some aspects of nature, including