Algebra, Topology and the Grothendieck-Teichmüller group (August 28 – September 2, 2022) Graph Complexes, GRT and cohomology of GLn by Francis Brown (University of Oxford) Stabilizer bitorsors in double shuffle theory by Benjamin Enriquez (IMRA Strasbourg) The stabilizer Lie algebra of the harmonic coproduct by Khalef Yaddaden (IRMA Strasbourg) Modular Inverters by Richard Hain (Duke University) Asymptotics for graph complex Euler characteristics by Michael Borinsky (ETH Zurich) Extensions of 1-cocycles of the mapping class group to the Ptolemy groupoid by Yusuke Kuno (Tsuda University) Poincare duality and TQFT structures for loop spaces by Kai Celiekak (Augsburg) Top weight cohomology of M_{g,n} and the handlebody group by Dan Peterson (University of Stockholm) Graph complexes, operadic mapping spaces and embedding calculus – a survey by Benoit Fresse (Lille) Torsion in string topology by Florian Naef (Dublin) Gravity properad, moduli spaces M_g,n, and string topology by Sergei Merkulov (Luxembourg) Automorphisms of seemed surfaces, modular operads and Galois actions by Marcy Robertson (Melbourne) Rational homotopy of embedding spaces: grt(Q) and unitrivalent graphs by Victor Turchin (Kansas State University) Tangles in a Pole Dance Studio: A Reading of Massuyeau, Alekseev, and Naef by Dror Bar-Natan (University of Toronto)