Caterina Campagnolo is a postdoctoral researcher now working at UAM Madrid. Francesco Fournier-Facio is PhD student at ETH Zürich. Nicolaus Heuer received his PhD from the University of Oxford. Marco Moraschini is a type A fixed-termed Researcher at University of Bologna. He was previously a Postdoctoral Researcher at University of Regensburg.

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• Introduction Caterina Campagnolo, Francesco Fournier-Facio, Nicolaus Heuer, Marco Moraschini; Part I. Simplicial Volume: 1. Gromov's mapping theorem via multicomplexes Marco Moraschini; 2. The proportionality principle via hyperbolic geometry Filippo Sarti; 3. Positivity of simplicial volume via barycentric techniques Shi Wang; 4. Gromov's systolic inequality via smoothing Lizhi Chen; Integral foliated simplicial volume Caterina Campagnolo; 6. l2-Betti numbers Holger Kammeyer; Part II. Bounded Cohomology: 7. Stable commutator length Nicolaus Heuer; 8. Quasimorphisms on negatively curved groups Biao Ma; 9. Extension of quasicocycles from hyperbolically embedded subgroups Francesco Fournier-Facio; 10. Lie groups and Symmetric spaces Anton Hase; 11. Continuous bounded cohomology, representations and multiplicative constants Alessio Savini; 12. The proportionality principle via bounded Filippo Baroni; References; Index.

Caterina Campagnolo is a postdoctoral researcher now working at UAM Madrid. Francesco Fournier-Facio is PhD student at ETH Zürich. Nicolaus Heuer received his PhD from the University of Oxford. Marco Moraschini is a type A fixed-termed Researcher at University of Bologna. He was previously a Postdoctoral Researcher at University of Regensburg.

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• Introduction Caterina Campagnolo, Francesco Fournier-Facio, Nicolaus Heuer, Marco Moraschini; Part I. Simplicial Volume: 1. Gromov's mapping theorem via multicomplexes Marco Moraschini; 2. The proportionality principle via hyperbolic geometry Filippo Sarti; 3. Positivity of simplicial volume via barycentric techniques Shi Wang; 4. Gromov's systolic inequality via smoothing Lizhi Chen; Integral foliated simplicial volume Caterina Campagnolo; 6. l2-Betti numbers Holger Kammeyer; Part II. Bounded Cohomology: 7. Stable commutator length Nicolaus Heuer; 8. Quasimorphisms on negatively curved groups Biao Ma; 9. Extension of quasicocycles from hyperbolically embedded subgroups Francesco Fournier-Facio; 10. Lie groups and Symmetric spaces Anton Hase; 11. Continuous bounded cohomology, representations and multiplicative constants Alessio Savini; 12. The proportionality principle via bounded Filippo Baroni; References; Index.

Caterina Campagnolo is a postdoctoral researcher now working at UAM Madrid. Francesco Fournier-Facio is PhD student at ETH Zürich. Nicolaus Heuer received his PhD from the University of Oxford. Marco Moraschini is a type A fixed-termed Researcher at University of Bologna. He was previously a Postdoctoral Researcher at University of Regensburg.

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• Introduction Caterina Campagnolo, Francesco Fournier-Facio, Nicolaus Heuer, Marco Moraschini; Part I. Simplicial Volume: 1. Gromov's mapping theorem via multicomplexes Marco Moraschini; 2. The proportionality principle via hyperbolic geometry Filippo Sarti; 3. Positivity of simplicial volume via barycentric techniques Shi Wang; 4. Gromov's systolic inequality via smoothing Lizhi Chen; Integral foliated simplicial volume Caterina Campagnolo; 6. l2-Betti numbers Holger Kammeyer; Part II. Bounded Cohomology: 7. Stable commutator length Nicolaus Heuer; 8. Quasimorphisms on negatively curved groups Biao Ma; 9. Extension of quasicocycles from hyperbolically embedded subgroups Francesco Fournier-Facio; 10. Lie groups and Symmetric spaces Anton Hase; 11. Continuous bounded cohomology, representations and multiplicative constants Alessio Savini; 12. The proportionality principle via bounded Filippo Baroni; References; Index.