# Modave Summer School in Mathematical Physics

The Modave Summer School on Mathematical Physics is a yearly summer school in topics of theoretical physics ranging from quantum gravity and cosmology to theoretical particle physics and string theory. For this 2021 edition, the school exceptionally takes place in Brussels as opposed to its traditional venue in Modave, a charming village in the Belgian countryside close to Huy. The Modave School is organised by PhD students for PhD students, and this makes it rather unique. The courses are taught by Post-Docs or late PhD students, and they are all made of pedagogical, basic blackboard lectures about recent or fundamental topics in theoretical physics. Lectures of the seventeen edition are centered around the following subjects: Integrability in field theory, Horizon-scale microstructure of black holes, Goldstone boson physics and Interplays between cosmology, string theory and the Swampland program.

The Modave Summer School on Mathematical Physics is a yearly summer school in topics of theoretical physics ranging from quantum gravity and cosmology to theoretical particle physics and string theory. For this 2020 edition, the school exceptionally takes place in Brussels as opposed to its traditional venue in Modave, a charming village in the Belgian Ardennes close to Huy. The Modave School is organised by PhD students for PhD students, and this makes it rather unique. The courses are taught by Post-Docs or late PhD students, and they are all made of pedagogical, basic blackboard lectures about recent or fundamental topics in theoretical physics. Lectures of the sixteenth edition are centered around the following subjects: the geometry of gauge theories, topics in Lie algebras and quantum information.

The Modave Summer School on Mathematical Physics is a yearly summer school in topics of theoretical physics. Various topics ranging from quantum gravity and cosmology to theoretical particle physics and string theory. The school takes place in Modave, a charming village in the Belgian Ardennes close to Huy. Modave School is organised by PhD students for PhD students, and this makes it rather unique. The courses are taught by Post-Docs or late PhD students, and they are all made of pedagogical, basic blackboard lectures about recent topics in theoretical physics. Participants and lecturers eat and sleep in the same place where the lectures are given. The absence of senior members, and the fact of spending day and night together in an isolated, peaceful place contribute to creating an informal atmosphere and facilitating interactions. Lectures of the fifteenth edition are centered around the following subjects: asymptotic symmetries in gauge theories and the BMS Group, an overview on background-independent quantum gravity, topological field theory, renormalization group and bottom-up holography.

The Modave Summer School on Mathematical Physics is a yearly summer school in topics of theoretical physics. Various topics ranging from quantum gravity and cosmology to theoretical particle physics and string theory. The school takes place in Modave, a charming village in the Belgian Ardennes close to Huy. Modave School is organised by PhD students for PhD students, and this makes it rather unique. The courses are taught by Post-Docs or late PhD students, and they are all made of pedagogical, basic blackboard lectures about recent topics in theoretical physics. Participants and lecturers eat and sleep in the same place where the lectures are given. The absence of senior members, and the fact of spending day and night together in an isolated, peaceful place contribute to creating an informal atmosphere and facilitating interactions. Lectures of the fourteenth edition are centered around the following subjects: the weak gravity conjecture, AdS/CFT, QFT in curved spacetime, 2+1 dualities and fuzzballs.

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The Modave Summer School on Mathematical Physics is a yearly summer school in topics of theoretical physics. Various topics ranging from quantum gravity and cosmology to theoretical particle physics and string theory. The school takes place in Modave, a charming village in the Belgian Ardennes close to Huy. Modave School is organised by PhD students for PhD students, and this makes it rather unique. The courses are taught by Post-Docs or late PhD students, and they are all made of pedagogical, basic blackboard lectures about recent topics in theoretical physics. Participants and lecturers eat and sleep in the same place where the lectures are given. The absence of senior members, and the fact of spending day and night together in an isolated, peaceful place contribute to creating an informal atmosphere and facilitating interactions. Lectures of the thirteenth edition are centered around the following subjects: bulk reconstruction in AdS/CFT, twistor theory, AdS$_2$/CFT$_1$ and SYK, geometry and topology, and asymptotic charges.

The lectures of the tenth edition were centered around two subjects: cosmology and exact results in QFT. The specific topics that were selected, were: Introduction to modern cosmology, QFT on de Sitter space, Analysis of Planck data, Matrix/vector models and large N limits, N=2 SUSY, SUSY on curved space and Introduction to quantum integrability.

The topics presented in these proceedings of the Eighth edition are: Introduction to Conformal Field Theories, Thermodynamics of String Gas, Higher Spin Theory, Introduction to Universality and Renormalisation Group Techniques and Duality Symmetric Approaches to String and M-theo