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ADVANCED courses

Prof. Javier Martin
Black Holes and Quantum Information

Abstract:
Since Einstein's suggestion in 1916 about the necessity of quantum
theory of gravity, this has been arguably among the most convoluted
open problems in fundamental physics. Although the topic can be faced
from different angles, this course will emphasize black hole physics
as an interesting infrared window into the mysterious ultraviolet
properties of general relativity. We will review basic aspects of
these objects and their thermodynamics and treat to formulate the
information problem in modern terms by making use of quantum
information theory tools. Time permitting, we will comment about the
problem in the context of AdS/CFT and some of its proposed
resolutions.

 

https://indico.ift.uam-csic.es/e/BHcourse


18, 19, 20, 21 y 22 de Octubre
10:00 - 11:30 h

Sala Gris IFT

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Prof. Karl Landsteiner

Quantum Fields for Quantum Matter

Abstract:
- Quantum field theory at finite temperature and density
- Relativistic Hydrodynamics
- Topological Matter

Enero: 13, 14, 17, 20, 21, 24, 26 y 27
Febrero: 2 y 3
11:30 - 13:30

Sala Gris 1 IFT

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Prof. Mario Flory
The holographic principle and black hole physics

Abstract:
The course explores the fundamental role of information in theoretical
physics, especially with respect to black holes in Einstein's theory
of general relativity, their thermodynamics, and the information loss
paradox. This will lead us to the holographic principle, which posits
that in a theory of (quantum) gravity, under certain conditions the
information-content of a region of space can be encoded on the surface
enclosing that region. We will then discuss possible manifestations of
this principle, such as the AdS/CFT-correspondence, equating gravity
on a (negatively curved) Anti-de Sitter spacetime (AdS) to a
conformal field theory (CFT) in one dimension less.

 

Noviembre 5, 8, 12, 15, 19, 22, 26 y 29.
16:00 - 18:00
Sala Roja IFT

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Prof. Bryan Zaldivar
PRACTICAL INTRODUCTION TO STATISTICS

 

Contents:
- Concept of probability, frequentist and Bayesian
- Probability functions and useful probability distributions
- Statistical tests and Goodness-of-fit
- Parameter estimation,  frequentist and Bayesian
- Confidence intervals
- Model selection
- Introduction to sampling methods (Monte Carlo)

Febrero 7, 8, 9, 10 y 11
11:00 - 13:00
Sala Zoom IFT

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Prof. Germán Sierra

Introduction to Conformal Field Theory"
 


Abstract: Conformal Field Theory (CFT) is a topic that relates several branches of Physics
such as String Theory, Condensed Matter Physics and Statistical Mechanics,
and also in Mathematics, as infinite dimensional Lie algebras and Quantum Groups.
In this course we shall introduce the main concepts to CFT, specially in 1 + 1 dimensions,
together with some applications to Luttinger liquids, spin chains and the fractional
quantum Hall effect.

 

Enero: Días 18 y 25 . De 11:30 - 13:30 horas
Febrero: Día 1. De 11:30 - 13:30 horas.
               Días 8, 15, 22. De 15:00 - 17:00 horas.
               Día 28 De. 11:30 - 13:30 horas.
Marzo: Día 8 De 11:30 - 13:30 horas.

Sala Gris IFT

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Prof. C. S. Shahbazi (U. Hamburg)
The geometry of string effective actions

Contents:
1) Principal bundles and connections.
2) Curvature and characteristic classes.
3) Duality structures and complex polarizations.
4) The universal bosonic sector of classical supergravity.
5) Dirac quantization and polarized Siegel bundles.
6) U duality as automophisms of Siegel bundles.
7) Advanced topic: polarized dyons in Abelian gauge theory.

The advanced topics will be covered only if there is enough time.

 

Marzo: 14, 15, 16, 21, 22, 23, 28, 29 and 30.
Abril: 4, 5, 6
15:30 - 17:30

Sala Gris IFT

 

Prof. Bryan Zaldivar
INTRODUCTION TO MACHINE LEARNING

 

Contents:
lecture 1: review of ML + summary of statistics
lecture 2: regression and overfitting control
lecture 3: bayesian learning
lecture 4: classification
hands-on session: classification
lecture 5: neural networks
hands-on session: neural nets
lecture 6: non-parametric methods
lecture 7: gaussian processes
lecture 8: unsupervised learning

 

Febrero 14, 15, 16, 17, 18, 21, 22, 23, 24 y 25
11:00 - 13:00

Sala Zoom IFT

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​Prof. Enrique Álvarez
Windows on quantum gravity.  Covariant techniques.

Abstract.
Some covariant techniques in quantum field theory are discussed.
25.- Generalities and Peierls bracket.
26.- Background field gauge.
27.- Heat kernel techniques.

25, 26 y 27 de abril 2022.
11:00 - 13:00

Sala Gris IFT

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