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LATTICE FIELD THEORY:

Pilar Hernández, Carlos Pena, Alberto Ramos

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The course will provide a broad introduction to Lattice Gauge Theories, focusing
on Lattice QCD and its applications to (Beyond the) Standard Model physics. It
will consist of three parts:

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Part 1: BASICS (Pilar Hernández) -  SLIDES

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Lecture 1: 09/10/2018, 15:00-17:00, Sala Gris 1, IFT

Lecture 2: 10/10/2018, 15:00-17:00, Sala Gris 1, IFT

Lecture 3: 11/10/2018, 15:00-17:00, Sala Gris 2, IFT

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Part 2: APPLICATIONS with focus on flavour physics (Carlos Pena)

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Lecture 1: 15/10/2018, 11:00-13:00, Sala Gris 1, IFT

Lecture 2: 17/10/2018, 11:00-13:00, Sala Gris 1, IFT

Lecture 3: 18/10/2018, 11:00-13:00, Sala Gris 2, IFT

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Part 3: HANDS-ON examples on numerical aspects (simulation, analysis) (Alberto Ramos)

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Lecture 1: 22/10/2018, 11:00-13:00, Sala Gris 1, IFT

Lecture 2: 24/10/2018, 11:00-13:00, Sala Gris 1, IFT

Lecture 3: 25/10/2018, 11:00-13:00, Sala Gris 2, IFT

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CONFORMAL FIELD THEORY:

Michael Fuchs​

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Lecture 1: 29/01/2019, 15:00-17:00, Sala Gris 1, IFT

Lecture 2: 05/02/2019, 15:00-17:00, Sala Gris 1, IFT

Lecture 3: 12/02/2019, 15:00-17:00, Sala Gris 1, IFT

Lecture 4: 19/02/2019, 15:00-17:00, Sala Gris 1, IFT

Lecture 5: 26/02/2019, 15:00-17:00, Sala Gris 1, IFT

Lecture 6: 05/03/2019, 15:00-17:00, Sala Gris 1, IFT

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BEYOND THE STANDARD MODEL REVIEW:

Verónica Sanz​

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Lecture 1: 08/04/2019, 11:00-13:00, Sala Gris 1, IFT

Lecture 2: 09/04/2019, 11:00-13:00, Sala Gris 1, IFT

Lecture 3: 10/04/2019, 11:00-13:00, Sala Gris 1, IFT

Lecture 4: 11/04/2019, 11:00-13:00, Sala Gris 1, IFT

Lecture 5: 12/04/2019, 11:00-13:00, Sala Gris 1, IFT

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ANOMALIES AND DIFFERENTIAL GEOMETRY:

Miguel Ángel Vázquez-Mozo​

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In previous years my graduate course “Introduction to Anomalies in Quantum Field Theory” has been intended as a general introduction to the phenomenon of anomalies, from their dia- grammatic analysis to their topological origin, including also discussions on their phenomeno- logical implications. At a practical level, due to the lack of time, the presentation of more formal developments has been frequently deferred to a quick discussion at the end of the course, when not dropped altogether.

The present proposal is intended to compensate this by focusing on application of differential geometry to the study and computation of anomalies. The course begins with an introduction to the problem of anomalies and how they can be analyzed using functional methods. The Wess- Zumino consistency condition will be discussed, as well as the covariant and consistent forms of the anomaly. This would be followed by a crash course on basic aspects of differential geometry to be used later: field theory in the language of differential forms, the Cartan formalism, characteristic classes, and so on.

From here we will proceed to the construction of the anomalous effective action using ho- motopy methods. Related issues like anomaly inflow will also be analyzed in this language. Finally, the connection of anomalies with the various index theorems will be discussed. In addition to these topics, the course will include a number of applications of the techniques presented.

One of the advantages of the proposed course is that it can be followed not only by the new graduate students joining IFT this September, but also by those who, having taken my course last year, are interested in learning about topics that were not covered back then.

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Lecture 1: 10/06/2019, 11:00-13:00, Sala Audiovisuales, IFT.

Lecture 2: 11/06/2019, 11:00-13:00, Sala Audiovisuales, IFT.

Lecture 3: 12/06/2019, 11:00-13:00, Sala Audiovisuales, IFT.

Lecture 4: 13/06/2019, 11:00-13:00, Sala Audiovisuales, IFT.

Lecture 5: 14/06/2019, 11:00-13:00, Sala Audiovisuales, IFT.

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Material curso "ANOMALIES AND DIFFERENTIAL GEOMETRY"

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