Condensed Mathematics 0. Background Lou-Jean Cobigo-Bihavan classical cohomology theories, topological sheaves, fibre products, limits and colimits, simplicial objects, abelian categories, derived functors and categories, 1. Condensed sets Claudius Kamp pro-finite sets and totally disconnected spaces, clopen sets, compactly generated topologies, Stone-Cech compactification, Grothendieck topologies, sites and sheaves 2. Condensed abelian groups Matilde Manzaroli extremally disconnected sets, adjoint of condensation functor, Cond(AB) as abelian catgory, split-coequalizer diagrams, Tensor product, internal Hom, derived categories 3. Cohomology Daniele Agostini Isomorphy of topological cohomologies, condensed cohomology and sheaf cohomology, simplicial objects, hypercovers, Moore complex, condensed cohomolgy of the reals 4. LCA-groups Hannah Markwig Pontryagin duality, derived internal hom of reals and tori 5. Solid groups Victoria Schleis completeness for Lipschitz maps - weak injectivity, Freeness of C(S,Z), Category of solid groups 6. Solid groups II Anton Deitmar Complete proof of properties of SOLID, Monoidal structure Literatur: Peter Scholze: Condensed Mathematics